TWM366474U

TWM366474U - Two optical elements fθ lens of short focal distance for laser scanning unit

Info

Publication number: TWM366474U
Application number: TW98205200U
Authority: TW
Inventors: Chih-Peng Wang; Huang-Chang Chen; San-Woei Shyu
Original assignee: E Pin Optical Industry Co Ltd
Priority date: 2009-03-31
Filing date: 2009-03-31
Publication date: 2009-10-11
Also published as: JP3154976U

Abstract

Two optical elements f-θ lens of short focal distance for laser scanning unit comprises a first lens and a second lens. The first lens has two optical surfaces, the second lens has two optical lens, and all the optical surface in main scanning direction are spherical surface, and the forth optical lens of the second lens has a inflection point and satisfies the following conduction:0.5429≰tan (β)≰1.2799,wherein the β is the maximum angle of effect window. The distance of the rotational polygon mirror from image surface can be effectively reduce by disposing the f-θ lens, so as to achieve the purpose of reducing the volume of the laser scanning unit.

Description

M366474 五、新型說明：【新型所屬之技術領域】本創作係有關一種雷射掃描裝置之短聚光距二片式扭鏡片，特別指一種用於旋轉多面鏡(Polygon mirror)之雷射掃描梦置 (Laser scanning unit)，具有短聚光距以縮小雷射掃描裝置體積之二片式扭鏡片。【先前技術】目前雷射光束印表機LBP(Laser Beam Print)所用之雷射掃描裝置LSU(Laser Scanning Unit) ’係利用一高速旋轉多面鏡(p〇lyg〇n mirror)以操控雷射光束之掃描動作(laserbeam scanning)，如美國專利1187,079，17卜1；86,377,293、1186,295，116’或如台灣專利 1198966 所述。其原理如下簡述：利用一半導體雷射發出雷射光束(laser beam)，先經由一準直鏡(c〇mmator)，再經由一光圈(aperture)而形成平行光束’而平行光束再經過一柱面鏡(Cylindricai iens)後，能在副掃描方向(sub scanning direction)之X軸上之寬度能沿著主掃描方向(main scanning direction)之Y軸之平行方向平行聚焦而形成一線狀(line image)，再投射至一高速旋轉多面鏡(p〇iyg〇n mirror)上，而方疋轉夕面鏡上均勻連續設置有多面反射鏡(refjecti〇n ，其恰好位於或接近於上述線狀成像(line image)之焦點位置。藉由旋轉多面鏡控制雷射光束之投射方向，當旋轉多面鏡上連續排列之複數個反射鏡在高速旋轉時可將射至其中一反射鏡上之雷射光束著主知描方向(X轴)之平行方向以同一轉角速度(angUlar 偏斜反射至一历線性掃描鏡片上，而ίθ線性掃描鏡片係設置於旋 M366474 轉夕面鏡旁侧’可為單件式鏡片結構(single_element seanning le_ 或為二件式鏡片結構。此扭線性掃描鏡片之功能在於使經由多面 ' 鏡上之反射鏡反射而射入扭鏡片之雷射光束能將掃描光線聚焦成、一圓形(或橢圓型)光點並投射在一光接收面(感光鼓photoreeeptor drum，即成像面)上，並達成線性掃描(scanning此咖㈣之要求，，美國專利 US4,707,085、US6,757,088 ;日本專利 jp2004_294713 專。然而，習用之ίθ線性掃描鏡片存在有下列問題： (1)、由於碇轉多面鏡反射雷射光束時，投射至旋轉多面鏡反齡射鏡之雷航束巾卻並非正對旋财面鏡之巾心雜，以致在設計ίθ線性掃描鏡片時，需同時考慮旋轉多面鏡之離轴偏差 (reflectiondeviation)問題；在習知技術上使用副掃描方向之光學補正以修正主掃描方向之光學補正的方法，如美國專利 US5，111，219、US5，136,418、日本專利 jp2756125 等。但為使離軸偏差可以經由副掃描方向可以適當修正，則需要較長的焦距，此亦增加雷射掃描裝置之體積。 (2)、為使ίθ線性掃纖片之掃描光線在感光鼓上之光點的直徑能符合制規範要求，在習知技術上，常制較長的焦距使成像品質較佳’甚至使用反射鏡延伸成像的距離，如美腳_063939 ;或使用三件式鏡片如美國哪術細觀、戰⑽㈣、日本專利節；或使用困難製作的繞射鏡片（dififracti〇n lens)，如美 US2〇〇1/_7G、US5,838,48G 等；或伽具有反曲_flection Ρ_之二件式鏡片，如美國專利服，m，2i9、u寧7,78i、 US6,919,993，使用具有反曲點之單件式 JP04-50908 〇今 f … 5 M366474 (3)、對於小型印表機使用時，為縮小雷射掃描裝置LSU體積，方法之一為縮短感光鼓上的成像距離；如美國專利US7，13〇,〇96 等，以限制有效掃描距離(effective scanning range)與成像光學距離 (optical length)比值之方法為縮短感光鼓上的成像距離並消除鬼影現象(ghost image);美國專利1；86,324,〇15使用限制旋轉多面鏡至感光妓的距離（稱聚光距，F〇calDistance)與扭 200mm ;美國專利賜,933,961揭露限制最末光點(end 〇f the scanning lme)至fB鏡片光學面距離，但其最大掃描角度約為27 6 度，尚不足以有效縮小聚光距。為滿足消費者對雷射掃描裝置輕薄短小之需求，對於短聚光距(如對於A4之雷射印表機，聚光距小於15〇mm)且在主掃描與副掃描方向可有效修正光學畸變、提高掃描品質與提高解析度上，為使用者的迫切需求。【新型内容】本創作之目的在於提供—種雷射掃描裝置之短聚光距二片式历鏡片，係適用於具有旋轉多面鏡之雷射掃描裝置，該二片式仿鏡片由旋轉多面鏡依序起算，其中第—鏡片具有第—光學面及第 7光學面’第二鏡片具有第三光學面及第四光學面；其特徵在於该：片式ίΒ鏡片之各個光學面在主掃描方向均為非球自；在光轴主掃指方向’第-、第二、第三光學面之凹面在旋轉多面鏡侧，第:光學面具有反曲點且其凸面在旋轉多面鏡侧；主要用以均句化^描光線於續描方向制掃财向，因偏移光軸而造成於感光鼓上形成雜偏差，並轉描光祕正聚絲目標物上；可將 ^ M366474 旋轉多面鏡所反射之掃描光線於目標物上正確成像，而達成雷射掃描裝置所要求之線性掃描效果。本創作之另一目的在於提供一種雷射掃描裝置之短聚光距二片式历鏡片’具有短聚光距，可達成縮小雷射掃描裝置之體積並具有良好成像效果，且滿足〇.5429<tanWl·2799，其中β為最大有效視窗角(maximum angle of effective window)，即在 28.5。至 52。之間。使旋轉多面鏡反射之雷射光束經由該短聚光距二片式扭鏡片，可以使掃描光線在較短聚焦距離下，仍可符合投射在目標物上光點(spot)面積的要求，而達成減少雷射掃描裝置體積之效果。本創作之再一目的在於提供一種雷射掃描裝置之短聚光距二片式ίθ鏡片，可畸變修正因掃描光線偏離光軸，而造成於主掃描方向及副掃描方向之偏移增加，使成像於感光鼓之光點變形之問題，並使每-成像光點大小得以均勻化，而達成提升解像品質 (resolution quality)之功效。因此，本創作雷射掃描裝置之短聚光距二片式$鏡片多面鏡’藉由設置於旋轉多面鏡上的反射鏡， f先ΐ發射之雷射光束反射成鱗描光線，以在目標物上成像. 光點經由光_ ’即’待成像之 η，線經由本創作之二片式糊修正二3 碳粉使光點一)，由於感光鼓塗有光敏劑，可感應反物便4集於紙上，如此可將資料列印出。 7 M366474 【實施方式】請參照圖1，為本創作雷射掃描裝置之短聚光距二片式扭鏡片之光學路徑之示意圖。本創作雷射掃描裝置之短聚光距二片^ 扭鏡片包含一具有一第一光學面131a及一第二光學面131b之第一鏡片131’與一具有一第三光學面132a及一第四光學面13沈之第一鏡片132 ’係適用於雷射掃描裝置。圖中，雷射掃描裝置主要包含一雷射光源11、一旋轉多面鏡1〇、一柱面鏡16，及一用以感光之目標物，在圖中，目標物係以用感光鼓(&111) 15來實施。雷射光源11所產生之光束111通過柱面鏡16後，投射到旋轉多面鏡10上。而旋轉多面鏡10具有反射鏡片（於圖中為五面反射鏡片），反射鏡片係以中心轉軸旋轉，將光束ln反射成掃描光^ 113a、113b。其中掃描光線li3a、U3b在X方向之投影稱之為副掃描方向(sub scanning direction)，在γ方向之投影稱之為主掃描方向(main scanning direction)，而旋轉多面鏡1〇掃描角度為θ，^ 描光線113a、113b自ίθ鏡片之第四光學面132b射出後在感光鼓 15形成最左端(left end)與最右端(right end)的距離為有效視窗 3(effeCtive window)距離，如圖2所示，在有效視窗距離内之光點可將原文件資料列印成圖紙。 ‘ 請參照圖1及圖2’其中圖2為通過第-鏡片及第二鏡片之掃描光線之光學路徑圖。當雷射光源U開始發出雷射光束m，經由旋轉多面鏡10反射為掃描光線，當掃描光線通過第一鏡片時受第一鏡片131之第一光學面131a與第二光學面131b折射，將旋轉多面鏡10所反射之距離與時間成非線性關係之掃描光線轉換成距離與時間為雜關係之掃描統。當触級通過第—於片131與第二鏡片132後，藉由第一光學面131a、第二光學二 M3,66474M366474 V. New description: [New technical field] This is a short-focusing two-piece twist lens for a laser scanning device, especially a laser scanning dream for a rotating polygon mirror (Polygon mirror) Laser scanning unit, a two-piece twist lens with a short gathering distance to reduce the volume of the laser scanning device. [Prior Art] At present, the laser scanning device LSU (Laser Scanning Unit) used in the laser beam printer LBP (Laser Beaming Unit) uses a high-speed rotating polygon mirror (p〇lyg〇n mirror) to manipulate the laser beam. Laser beam scanning, as described in U.S. Patent Nos. 1,187,079,17, 1; 86,377,293, 1186,295, 116' or as described in Taiwan Patent No. 1198966. The principle is as follows: a laser beam is emitted by a semiconductor laser, first through a collimating mirror (c〇mmator), and then through an aperture to form a parallel beam' while the parallel beam passes through a After the cylindrical mirror (Cylindricai iens), the width on the X-axis in the sub-scanning direction can be parallelly focused along the parallel direction of the Y-axis of the main scanning direction to form a line (line). Image), and then projected onto a high-speed rotating polygon mirror (p〇iyg〇n mirror), and the polygon mirror is uniformly and continuously provided with a polygon mirror (refjecti〇n, which is located at or close to the above-mentioned line shape) The focus position of the line image. By rotating the polygon mirror to control the projection direction of the laser beam, when a plurality of mirrors continuously arranged on the rotating polygon mirror rotate at a high speed, the laser beam is incident on one of the mirrors. The parallel direction of the beam in the main direction (X-axis) is at the same angular velocity (angUlar is deflected to a linear scanning lens, and the ίθ linear scanning lens is placed on the side of the rotating M366474). A piece of lens structure (single_element seanning le_ or a two-piece lens structure. The function of the twisted linear scanning lens is to cause the laser beam reflected by the mirror on the multi-faceted mirror to be incident on the torsion lens to focus the scanning light into a circular (or elliptical) spot is projected onto a light-receiving surface (photorepense drum, i.e., imaging surface), and linear scanning is performed (scanning the requirements of this coffee (4), U.S. Patent Nos. 4,707,085, US 6, 757,088; Japanese patent jp2004_294713. However, the conventional ίθ linear scanning lens has the following problems: (1) Due to the reflection of the laser beam by the rotating polygon mirror, the lightning beam that is projected to the rotating polygon mirror and the anti-age mirror is It is not the same as the scarf of the coin-shaped mirror, so that when designing the ίθ linear scanning lens, it is necessary to consider the problem of the reflection deviation of the rotating polygon mirror; in the prior art, the optical correction of the sub-scanning direction is used to correct A method of optically correcting the main scanning direction, such as U.S. Patent No. 5,111,219, US Pat. No. 5,136,418, Japanese Patent No. JP 2756125, etc. If the sub-scanning direction can be appropriately corrected, a longer focal length is required, which also increases the volume of the laser scanning device. (2) In order to make the diameter of the light spot of the scanning light of the φθ linear scanning film on the photosensitive drum conform to The specification requires that, in the conventional technology, a longer focal length is often used to make the image quality better - even using a mirror to extend the distance of imaging, such as the foot _063939; or using a three-piece lens such as the United States, Battle (10) (4), Japanese Patent Festival; or dififracti〇n lens made with difficulty, such as US2〇〇1/_7G, US5,838,48G, etc.; or gamma with recursion_flection Ρ_ Lens, such as U.S. patent clothing, m, 2i9, u Ning 7, 78i, US 6,919, 993, using a single piece type JP04-50908 with inflection point 〇 today f ... 5 M366474 (3), for small printers In order to reduce the volume of the laser scanning device LSU, one of the methods is to shorten the imaging distance on the photosensitive drum; as in US Pat. No. 7,13, 〇96, etc., to limit the effective scanning range and the imaging optical distance ( Optical length) method is shortened Imaging distance on the drum and eliminating ghost image; US Patent 1; 86, 324, 〇 15 uses the distance from the rotating polygon mirror to the photosensitive cymbal (called concentrating distance, F〇calDistance) and twist 200mm; US patent Ip, 933,961 reveals that the end point thef the scanning lme to the optical surface distance of the fB lens, but the maximum scanning angle is about 27 6 degrees, which is not enough to effectively reduce the concentrating distance. In order to meet the needs of consumers for the light and short laser scanning device, for short gathering distance (such as for A4 laser printer, the concentrating distance is less than 15 〇mm) and the optical correction can be effectively corrected in the main scanning and sub-scanning directions. Distortion, improved scanning quality and improved resolution are urgent needs of users. [New content] The purpose of this creation is to provide a short-focusing two-piece lens for a laser scanning device, which is suitable for a laser scanning device with a rotating polygon mirror, which is a rotating polygon mirror Sequentially, wherein the first lens has a first optical surface and a seventh optical surface, the second lens has a third optical surface and a fourth optical surface; wherein: each optical surface of the lens is in the main scanning direction Both are aspherical; in the direction of the main axis of the optical axis, the concave surfaces of the first, second and third optical surfaces are on the side of the rotating polygon mirror, and the optical surface has an inflection point and its convex surface is on the side of the rotating polygon mirror; The method is used to scan the light in the continuous drawing direction, and the misalignment is formed on the photosensitive drum due to the offset of the optical axis, and the light is projected on the target of the positive filament; the M366474 can be rotated multi-faceted. The scanning light reflected by the mirror is correctly imaged on the target to achieve the linear scanning effect required by the laser scanning device. Another object of the present invention is to provide a short concentrating distance two-piece calendar lens of a laser scanning device having a short concentrating distance, which can achieve a reduced volume of the laser scanning device and has a good imaging effect, and satisfies 〇.5429<;tanWl·2799, where β is the maximum angle of effective window, ie at 28.5. To 52. Between. The laser beam reflected by the rotating polygon mirror is passed through the short concentrating two-piece twist lens, so that the scanning light can meet the spot area projected on the target at a shorter focusing distance. The effect of reducing the volume of the laser scanning device is achieved. A further object of the present invention is to provide a short-focusing two-piece ίθ lens for a laser scanning device, which can correct the deviation of the scanning light from the optical axis and cause an offset in the main scanning direction and the sub-scanning direction. The problem of image point distortion of the photosensitive drum is imaged, and the size of each-image spot is made uniform, thereby achieving the effect of improving the resolution quality. Therefore, the short-focusing two-piece $lens polygon mirror of the present laser scanning device is reflected by the mirror beam disposed on the rotating polygon mirror, and the laser beam emitted by the first-stage laser beam is reflected into the scale light to be in the target. Imaging on the object. The light spot passes through the light _ 'that' is the image to be imaged η, the line is corrected by the two-piece paste of the creation of the two 3 carbon powder to make the light spot a), because the photosensitive drum is coated with a photosensitizer, it can sense the anti-object 4 Set on paper so that the data can be printed out. 7 M366474 [Embodiment] Please refer to FIG. 1 , which is a schematic diagram of the optical path of a short concentrating two-piece twisted mirror of a laser scanning device. The short focusing distance of the laser scanning device of the present invention includes a first lens 131' having a first optical surface 131a and a second optical surface 131b and a third optical surface 132a and a first The first lens 132' of the four optical faces 13 is suitable for use in a laser scanning device. In the figure, the laser scanning device mainly comprises a laser light source 11, a rotating polygon mirror 1 〇, a cylindrical mirror 16, and a target for sensitization. In the figure, the target object is a photosensitive drum (&amp ;111) 15 to implement. The light beam 111 generated by the laser light source 11 passes through the cylindrical mirror 16 and is projected onto the rotating polygon mirror 10. The rotating polygon mirror 10 has a reflecting lens (in the figure, a five-sided reflecting mirror) which rotates with a central rotating shaft to reflect the light beam ln into scanning light 113a, 113b. The projection of the scanning rays li3a and U3b in the X direction is referred to as a sub scanning direction, the projection in the γ direction is referred to as a main scanning direction, and the scanning angle of the rotating polygon mirror is θ. , the light rays 113a, 113b are emitted from the fourth optical surface 132b of the ίθ lens, and the distance between the left end and the right end of the photosensitive drum 15 is the distance of the effective window 3 (effeCtive window), as shown in the figure. As shown in 2, the original document data can be printed as a drawing at a light spot within the effective window distance. ‘Please refer to FIG. 1 and FIG. 2'. FIG. 2 is an optical path diagram of the scanning light passing through the first lens and the second lens. When the laser light source U starts to emit the laser beam m, it is reflected as scanning light by the rotating polygon mirror 10, and is refracted by the first optical surface 131a and the second optical surface 131b of the first lens 131 when the scanning light passes through the first lens. The scanning ray whose distance reflected by the rotating polygon mirror 10 is nonlinearly related to time is converted into a scanning system in which the distance and time are in a mixed relationship. After the step passes through the first sheet 131 and the second lens 132, by the first optical surface 131a, the second optical two M3, 66474

131b、第二光學面132a、第四光學面132b之光學性質，將掃描光線聚焦於感級15上’祕絲鼓15上軸—列的光點(Sp〇t) 2。其中，d〇為柱面鏡16在旋轉多面鏡1〇的光學面沿雷射光束中心至旋轉多面鏡1G反射鏡的最小距離，di為旋轉多面鏡1()至第〆光學面131a之間距、屯為第-光學面131a至第二光學面1311?之間距、d3為第二光學面131b至第三光學面伽之間距、山為第三光學面132a至第四光學面132b之間距、d5為細光學面⑽ 至感光鼓15之間距、Rl為第一光學面131a之曲 (Curvature)，為第二光學面咖之曲料徑、&為第三光學^ 132a之曲率半徑、Κ為第四光學面132b之曲率半徑。第四光學面132b在主掃描方向為具有反曲點之光學面，如圖 3所示，在光轴上，為凸面面向旋轉多面鏡1〇侧，離開光轴經過反曲點P漸變為凹面面向旋轉多面鏡1〇側。請參照圖4，為掃描光線投射在感光政上後’光點面積(spGtarea)隨投射位置之不同而變化之示意圖。當掃描光線咖沿光軸方向透過第—鏡片i3i及第鏡片132後技射在感光鼓15時，因入射於第一鏡片⑶及第二鏡片132之角度為零，於主掃描方向所產生之偏移率最小，因此成像於絲鼓15上之絲2a為―_目形(quasi_dfde) 描光線113b及113〇读禍笛一^^ m «λ* 在咸料及第二鏡片132後而投射入射於第一鏡片131及第二鏡片132與光軸所夾角不為零，於主掃描方向所產生之偏移率較光轴為大，而k成於主掃描方向之投影長度較掃描光線llla所形成的先形在副掃描方向也_，因此偏離光歡掃描光線所形成的先點’也將較大；所以成像於感光鼓15上之光點2The optical properties of the 131b, second optical surface 132a, and fourth optical surface 132b focus the scanning light on the light spot (Sp〇t) 2 of the upper axis of the secret filament drum 15 on the sense level 15. Where d〇 is the minimum distance of the cylindrical mirror 16 on the optical surface of the rotating polygon mirror 1 沿 along the center of the laser beam to the mirror of the rotating polygon mirror 1G, and di is the distance between the rotating polygon mirror 1 () and the second optical plane 131a屯 is the distance between the first optical surface 131a and the second optical surface 1311, d3 is the distance between the second optical surface 131b and the third optical surface, and the distance between the third optical surface 132a and the fourth optical surface 132b is D5 is a thin optical surface (10) to the distance between the photosensitive drums 15, R1 is a Curvature of the first optical surface 131a, is a curved diameter of the second optical surface, & is a radius of curvature of the third optical surface 132a, Κ It is the radius of curvature of the fourth optical surface 132b. The fourth optical surface 132b is an optical surface having an inflection point in the main scanning direction. As shown in FIG. 3, on the optical axis, the convex surface faces the side of the rotating polygon mirror 1 and the optical axis passes through the inflection point P to be concave. Facing the side of the rotating polygon mirror. Please refer to FIG. 4, which is a schematic diagram of the spGtarea as a function of the projection position after the scanning ray is projected onto the sensation. When the scanning light coffee passes through the first lens i3i and the second lens 132 in the optical axis direction and is incident on the photosensitive drum 15, the angle incident on the first lens (3) and the second lens 132 is zero, which is generated in the main scanning direction. The offset rate is the smallest, so the wire 2a imaged on the silk drum 15 is "_" shape (quasi_dfde), the light 113b and 113 are read, and the flute is a ^^m «λ* after the salt and the second lens 132 are projected. The angle between the first lens 131 and the second lens 132 and the optical axis is not zero, the offset rate generated in the main scanning direction is larger than the optical axis, and the projection length of k in the main scanning direction is smaller than that of the scanning light 111a. The formed shape is also in the sub-scanning direction, so the first point ' formed by the scanning light of the light beam will also be larger; therefore, the light spot 2 imaged on the photosensitive drum 15

一麵圓形4 2b、2e之面積大於2a。其t，saG與sbG為旋轉J 9 M366474 面鏡10反射面上掃描光線的光點在主掃描方向(γ方向)及副掃描方内(X 方向)之均方根半徑(R〇〇t means sp〇t size radius mirrc)r)、Sa與Sb分別為在目標物上光點大小於x方向及γ方向之的句方根半k(R〇〇t means Square 〇f 印说 size racQus 〇n target)。、j參考圖5,為掃描光線投射在感光鼓上的有效視窗與最大有效視*角(effective window angle)p之示意圖。當最左端掃描光線 U3b射出第二鏡# 132的第四光學面132b後，此掃描光線與平行於光軸的直線夾肖為有效視窗角的最大值；通常，最右端的掃描光線113e與最左端掃描光線U3b為觸。為縮小雷射掃描裝置的體積’即在脑自旋轉多面鏡W至感光鼓15 _像距離，即継聚光距。為縮短聚光距，除可在第-鏡片131及第二鏡片132 的四個光學面之光學特性、第—鏡片131及第二鏡片I%的使用材料（折射率、阿貝數）等光學設計，以縮短聚光距 (j也+山+糾5) ’特別是空氣間隔⑼+屯+句外另外可提高最大 =視窗角β的數值’使掃描的張開角度增大，最大有效視窗角β ” 鏡片132至感光鼓15的距離關係如式⑴，當加大p值，在固定的有效視窗下，可有效縮短冗值。 ⑴ 其:’ ya&主掃财向(Y夠最末轉描練最左端 11：或取右端mc)出射於第二鏡片132之第四光學面㈣平形於軸至感光鼓15成像面的距離；yb為為末 ===，或最右端113_^ 先學面132b至感光鼓15成像面的距離。综上所述，本創作之短聚光距二片式β鏡片可將旋轉多面 M366474 修正，及糊侧樣向，，娜Χ方向與Υ方向之光束半徑、= ^ 料自絲，吨顯合需求的解析度，並可有效継聚歧離，喊少雷轉錄置的體積。述功效，本創作短聚光距二片式扭鏡片在第—鏡片⑶ 與第光予面131a或第二光學面132a及第二鏡片⑶ 、學面咖或第四光學面132b，在主掃描方向或副婦描方向第j 用球面曲面或非球面曲面設計，若使用非球面曲面設計，其非球面曲面係以下列曲面方程式：、 1 .環像曲面方程式(Torical equation) zThe area of one side of the circle 4 2b, 2e is greater than 2a. The t, saG and sbG are the root mean square radii of the scanning spot of the scanning light on the reflecting surface of the mirror J 10 M366474 in the main scanning direction (γ direction) and the sub scanning side (X direction) (R〇〇t means Sp〇t size radius mirrc)r), Sa and Sb are respectively the square root half k of the spot size on the target in the x direction and the γ direction (R〇〇t means Square 〇f 印 size racQus 〇n Target). j refers to FIG. 5, which is a schematic diagram of an effective window and a maximum effective window angle p of the scanning light projected on the photosensitive drum. When the leftmost scanning ray U3b emits the fourth optical surface 132b of the second mirror #132, the scanning ray and the line parallel to the optical axis are the maximum value of the effective window angle; generally, the rightmost scanning ray 113e and the most The left end scans the light U3b as a touch. In order to reduce the volume of the laser scanning device, that is, the brain-rotating polygon mirror W to the photosensitive drum 15 _ image distance, that is, the condensing distance. In order to shorten the condensing distance, optical properties such as the optical characteristics of the four optical surfaces of the first lens 131 and the second lens 132, and the materials (refractive index, Abbe number) of the first lens 131 and the second lens I% may be used. Design to shorten the concentrating distance (j also + mountain + correct 5) 'Special air interval (9) + 屯 + sentence can increase the maximum = window angle β value 'to increase the scanning opening angle, the maximum effective window Angle β ” The distance relationship between the lens 132 and the photosensitive drum 15 is as shown in the formula (1). When the p value is increased, the redundancy value can be effectively shortened under the fixed effective window. (1) Its: 'ya& main sweeping wealth (Y is the last Translating the leftmost end 11: or taking the right end mc) to the fourth optical surface of the second lens 132 (four) is flat to the distance from the axis to the imaging surface of the photosensitive drum 15; yb is the end ===, or the rightmost end 113_^ The distance from the face 132b to the imaging surface of the photosensitive drum 15. In summary, the short-focusing two-piece β lens of the present invention can correct the rotating multi-faceted M366474, and paste the side, the direction of the Nag and the direction of the Υ Beam radius, = ^ material from the wire, the resolution of the demand of the ton, and the effective convergence, shouting less Ray transcription The volume of the present invention, the short-light-distance two-piece twist lens in the first lens (3) and the first light surface 131a or the second optical surface 132a and the second lens (3), the school face coffee or the fourth optical surface 132b, In the main scanning direction or the appearance of the singularity, the jth surface is designed with a spherical surface or an aspheric surface. If an aspheric surface design is used, the aspheric surface is expressed by the following surface equation: 1. Ringlike equation z

Zv-^_ (Cxy)X2 1+VHQy)2^2Zv-^_ (Cxy)X2 1+VHQy)2^2

Cxy: (l/Cx)~Zy (Cy)Y2 \fyl^~0^Ky)(Cy) ^Y2Cxy: (l/Cx)~Zy (Cy)Y2 \fyl^~0^Ky)(Cy) ^Y2

+ BJ4+B6Y6+BsY&+BmY 10 其中’Z為鏡片上任一點以光軸方向至〇點切平面的距離 (SAG) ’ q與q分別γ方向與X方向之曲率(curyature); '為γ 方向之圓錐係數(c〇nic coefficient) ; β4 '式、爲與巧Q為四次、六人八人十次冪之係數(4th〜10th order coefficients) deformation from the conic);當^^^且〜=戽='=6=化=〇則簡化為單一球面。 11 M366474 2 ：擴展多項式曲面方程式(Extendedpolynomial equation) z CR7 ι+νϊ-ο+ϊκ5^ CR2 /=1 F++ ^12r++ ++ BJ4+B6Y6+BsY&+BmY 10 where 'Z is the distance from the optical axis direction to the tangent plane (SAG) of any point on the lens 'q and q respectively γ direction and X direction curvature (curyature); 'γ The coefficient of the cone of the direction (c〇nic coefficient); β4 ', is the coefficient of 4 times, and the coefficient of 4th to 10th order is derived from the conic; when ^^^ ~=戽='=6=化=〇 is simplified to a single sphere. 11 M366474 2 : Extended polynomial equation z CR7 ι+νϊ-ο+ϊκ5^ CR2 /=1 F++ ^12r++ +

X34JX34J

+ A3lX3 + A32X2Y + a33XY1 2 + A,J + A4lX3 + A42X4Y + a43x2y2 + a44xy4 + a45f3 + a51x5 + a52x3y+A53x4Y2 + A54x2r4 + a55xy3 + a56y5 + 4〆: +冬i5r+J63x3r2 +木〆r4 +冬尤2尸+夂灯5 + + Anx^ + AnX^Y + AnXsY2 + Α?4Χ4Γ3 + + + + (3) 其中，z為鏡片上任一點以光軸方向至〇點切平面的距離 (SAG); c 為曲率(curvature at the p〇le 〇f the 弧⑽）；尤為圓錐係數(Conic coefficient) ; 4為第丨次冪的多項式係數。為能使掃描规在目標物上之雜社轉料描速度，舉例而言，在_相_時間間隔内，維持兩個光點關距相等: 本創作之短聚光距ίθ制可餘崎描絲丨以至掃描来線113b之間之掃描光線，藉由第—鏡片131及第二鏡片^ =光線出射角之修正，使相同的時間間隔的兩掃描光線， 12 1 賊級15上軸㈣個総的距離相 2 專即如象在感先豉15上的光點大小均勻化（限制於一符合 3 本創作之短聚光距二片式扭包算，為一第-鏡請及第二鏡片132，·其中第一光學面⑶a及第二光學面，第二鏡片面第 4 度要求的範圍内），以獲得最佳的解析效果。 · M366474 131a及第四光學面131b ;在光軸主掃描方向，第一、第二、第三光學面(131a、l31b，132a)之凹面在旋轉多面鏡1〇侧，第四光學: • 132b具有反曲點且其凸面在旋轉多面鏡侧1〇;係將旋轉多面鏡1〇、反射之角度與時間非線性關係之掃描光線光點轉換成距離與時間為線性關係之掃描光線光點，並修正光學畸變後聚光於目標物上；其中’第-光學面131a、第二光學面131b、第三光學面 -及第四光學面132b在主掃描方向均為非球面之光學面所構成；第 --光學Φ 131a、第二光學面131b、第三光學面咖及第四光學 •面132b在副掃描方向可至少有一個為非球面所構成之光學面。更進一步’在第一鏡片131及第二鏡片132構成上，在光學效果上，本創作之二片式扭，在空氣間_i+d3+d5)與最大有效視窗角 β進一步滿足式(4)〜式(5)條件： 0.5429 <tan()5)< 1.2799 ⑶ 或，在主掃描方向滿足式(6) ► 〇·〇^Λ·Μ + ^),〇.22 ⑹ J(ny J{2)y . 其中，dl為光轴上旋轉多面鏡10反射面至第一鏡片131旋轉 .多面鏡側光學面之距離、d3為光轴上第—鏡# 131目標物側光學面至第二鏡片132旋轉多面鏡1〇側光學面之距離、山為光轴上第一鏡片132目標物侧光學面至目標物之距離、&為該二片式扭鏡片♦之複合焦距，β為最大有效視窗角，f(i)Y為第—鏡片131在主掃為方向之焦距、f(2)Y為第二鏡片】32在主掃描方向之焦距、灿與扣為第鏡片131與第—鏡片132之折射率(reg*acti〇n index)。 13 M366474 性，創作之短聚光距二片式扭鏡片所形成的光點均一比值表^ ί光線在感光鼓15上¥位置之光點的最大半捏U 比值表不，即滿足式(7):+ A3lX3 + A32X2Y + a33XY1 2 + A,J + A4lX3 + A42X4Y + a43x2y2 + a44xy4 + a45f3 + a51x5 + a52x3y+A53x4Y2 + A54x2r4 + a55xy3 + a56y5 + 4〆: +冬i5r+J63x3r2 +木〆r4 +冬尤2 Corpse + Xenon lamp 5 + + Anx^ + AnX^Y + AnXsY2 + Α?4Χ4Γ3 + + + + (3) where z is the distance from the optical axis direction to the tangent plane (SAG) at any point on the lens; c is Curvature at the p〇le 〇f the arc (10); especially the Conic coefficient; 4 is the polynomial coefficient of the third power. In order to enable the scanning gauge to scan the speed of the miscellaneous material on the target, for example, in the _phase_time interval, the two spots are maintained at the same distance: The short gathering distance of the creation is ίθ Scanning the ray and scanning the scanning light between the lines 113b, by the correction of the first lens 131 and the second lens ^=the light exit angle, the two scanning rays of the same time interval, 12 1 thief level 15 upper axis (four) The distance between the two phases is as uniform as the spot size on the sensation 15 (limited to a short concentrating two-piece twist package that meets the 3 creations, which is a first-mirror and the first The second lens 132, wherein the first optical surface (3)a and the second optical surface, the second lens surface is within the range required by the fourth degree, is obtained to obtain an optimum analytical effect. · M366474 131a and fourth optical surface 131b; in the main scanning direction of the optical axis, the concave surfaces of the first, second, and third optical surfaces (131a, l31b, 132a) are on the side of the rotating polygon mirror 1st, and the fourth optical: • 132b It has an inflection point and its convex surface is 1 侧 on the side of the rotating polygon mirror; it converts the scanning ray spot of the rotating polygon mirror 1 〇, the angle of reflection and the time nonlinear relationship into a scanning ray spot whose distance is linear with time. And correcting the optical distortion and condensing on the target; wherein the first optical surface 131a, the second optical surface 131b, the third optical surface, and the fourth optical surface 132b are optical surfaces that are aspherical in the main scanning direction. The first optical Φ 131a, the second optical surface 131b, the third optical surface, and the fourth optical surface 132b may have at least one optical surface formed by an aspherical surface in the sub-scanning direction. Further, 'on the first lens 131 and the second lens 132, in terms of optical effect, the two-piece twist of the present creation, _i+d3+d5 between air) and the maximum effective window angle β further satisfy the formula (4) ) - (5) Condition: 0.5429 <tan()5)< 1.2799 (3) Or, satisfying the formula (6) in the main scanning direction ► 〇·〇^Λ·Μ + ^), 〇.22 (6) J(ny J{2)y. Where dl is the distance from the reflecting surface of the rotating polygon mirror 10 on the optical axis to the rotation of the first lens 131. The distance of the optical surface of the polygon mirror side, d3 is the optical surface of the target side of the mirror #131 on the optical axis The distance between the second lens 132 rotating the optical surface of the polygon mirror 1 and the distance from the target side optical surface of the first lens 132 to the target on the optical axis, & is the composite focal length of the two-piece twisted lens ♦, β For the maximum effective window angle, f(i)Y is the focal length of the first lens 131 in the direction of the main sweep, f(2)Y is the second lens] 32 is the focal length in the main scanning direction, and the can and buckle are the first lens 131 and The refractive index of the first lens 132 (reg*acti〇n index). 13 M366474 Sex, create a short spotlight to form a uniform ratio of light spots formed by two-piece twisted lenses. ί The maximum half-pinch U ratio of the light spot on the photosensitive drum 15 position is not satisfied. ):

0.10 彡 5 = max〇W ⑺ 其中’δ為該目標物上最小絲與最大光點之比值。 Γ，本創作之二片式历鏡片所形成的解析度，可使用 15上幾何先點最大值的比值與 =反射面上_錄_何光驗触麵紐丨5上幾何光點兄最小值的比值為表: ’即可滿足式⑻及(9)， η =£^〇V^j (¾ ·υ (乂〇 Λ〇) <0.05 < 0.005 ⑻ (9) f中’ Sa# Sb輕光鼓Η上掃描絲形成的任—個光大光物_、s域光鼓15地、光點與最感光鼓15上光點面择描光線的光點與描光線的光點在副掃描方向及主示特徵=:實施例並配合· 本創作以T所揭丨之實齡彳，力射掃描裝置之二片式，鏡片之主要構成繼是顧於—_乡域科_裝置中，但就一般具有雷射掃描裝置而言，除了本創作==置 M366474 • 式历鏡片外，其他結構乃屬—般通知之技術，因此—般在此領域中熟悉此項技藝之人士瞭解，本創作所揭示旋轉多面鏡雷射掃描 '裝置之二片式扭鏡片之構成元件並不限制於以下所揭示之實施例 ‘結構，也就是該旋轉多面鏡雷射掃福裝置之二片式和鏡片之各構成元件是可以進行許多改變、修改、甚至等效變更的，例如：第 -，片131及第二鏡片132之曲率半徑設計、材#選用、間距調整等並不限制。並且為便於說明及比較，以下的實施例均採用旋 -轉多面鏡10上光點Sa〇=7.22(pm)、Sb〇= 660·94(μιη)，但不以此為鲁限。 <第一實施例> 本實施例之短聚光距二片式扭鏡片在第一鏡片131第二 132第三光學面路均係為非球面，使用式⑶ 二/未，么式设計其光學面之曲面；在第一鏡片131第一光而ϋ鏡片132第四光學面132b之主掃描方向均係為非球並讨if ί(2)為非球面公式設計其光學面之曲面。其光學特性盥曲及表二，光關㈣6,細光細咖之i 15 M366474 表一、第一實施例之扭光學特柹 fs= 30.221 光學面 (optical surface) 平徑(mm) (Radius) d厚度(mm) (thickness) nd折射率 (refraction index) 反射鏡反射面R0 lens 1 Rl(Toric) Rlx Rly* R2(Ext. polynomial) 00 00 -93.880 12.00 11.70 1 1.529 R2x* R2y* lens 2 R3(Ext. polynomial) -38.449 -38.449 11.77 1.529 R3x* R3y* R4(Toric) -56734.738 -56734.738 11.73 R4x R4y* -48.243 13578.669 79.87 感光鼓(drum)R5 00 0.0 *表不非球面0.10 彡 5 = max〇W (7) where 'δ is the ratio of the minimum filament to the maximum spot on the target. Γ, the resolution of the two-piece calendar lens of this creation can use the ratio of the maximum value of the geometric first point on the 15th and the minimum value of the geometric light point on the reflective surface. The ratio table is: 'Effects equations (8) and (9), η =£^〇V^j (3⁄4 ·υ (乂〇Λ〇) <0.05 < 0.005 (8) (9) f in ' Sa# Sb The light spot on the light drum is formed by any one of the light illuminating material _, the s field light drum 15 , the light spot and the light spot on the most photosensitive drum 15 and the light spot of the light ray is scanned in the sub-scan. Direction and main features =: Embodiments and cooperation · This creation is based on the actual age of T, and the two-piece type of the laser scanning device. The main components of the lens are followed by the _ _ _ _ _ _ However, in general, with the laser scanning device, except for the creation of the lens == M366474 • the calendar lens, the other structure is a general notification technology, so those who are familiar with the art in this field understand, this The constituent elements of the two-piece twist lens of the rotating polygon scanning laser scanning device disclosed in the creation are not limited to the embodiment of the structure disclosed below, It is the two components of the rotating polygon mirror and the components of the lens that can be changed, modified, or even changed in an equivalent manner, for example, the curvature radius design of the first, the first 131 and the second lens 132. , material # selection, spacing adjustment, etc. are not limited. For convenience of description and comparison, the following examples all use the spin-rotation polygon mirror 10 on the spot Sa 〇 = 7.22 (pm), Sb 〇 = 660 · 94 (μιη However, it is not limited to this. <First Embodiment> The short concentrating two-piece twisted lens of the present embodiment is aspherical on the third optical path of the second lens 132 of the first lens 131. Using the formula (3) two / no, the curved surface of the optical surface is designed; the first light in the first lens 131 and the main scanning direction of the fourth optical surface 132b of the lens 132 are both aspheric and if (2) Design the surface of the optical surface for the aspherical formula. The optical characteristics are distorted and Table 2, light off (4) 6, fine light coffee i 15 M366474 Table 1, the first embodiment of the twisted optical characteristics fs = 30.221 optical surface ( Optical surface) diameter (mm) (Radius) d thickness (mm) (thickness) nd refractive index (refraction index) reflection Mirror reflection surface R0 lens 1 Rl(Toric) Rlx Rly* R2(Ext. polynomial) 00 00 -93.880 12.00 11.70 1 1.529 R2x* R2y* lens 2 R3(Ext. polynomial) -38.449 -38.449 11.77 1.529 R3x* R3y* R4 (Toric) -56734.738 -56734.738 11.73 R4x R4y* -48.243 13578.669 79.87 Drum R5 00 0.0 *Table is not spherical

表二(a)、第一實施例之光學面m而灸鉍環像曲面方程式係數T〇ric Equation Coefficient -- 光學面 (optical surface) Ky圓錐係數 (Conic Coefficient) 4th次冪係數6th次冪係數8也次冪係數 Order Order Order Coefficient (B4) Coefficient (B6) Coefficient (B8) 10th次冪係數 Order 1 Coefficient (B10) Rl* -1.0145E+01 -9.8372E-07 -1.7388E-10 6.9464E-15 -9.2575E-17 R4* 4.6428E+04 -1.5454E-06 -6.9730E-11 3.5310E-14 -6.2971E-18 16 M366474 Ιε3··=?33κ,ρου·-§υ)福孝教sw a3ps30uu-2snb3'sulou-od PU-X3碱牵^锶柃喵喵^靶呤^樂 *2Table 2 (a), optical surface m of the first embodiment and moxibustion ring image equation coefficient T〇ric Equation Coefficient - optical surface Ky cone coefficient (Conic Coefficient) 4th power coefficient 6th power coefficient 8 is also the power coefficient Order Order Order Coefficient (B4) Coefficient (B6) Coefficient (B8) 10th power coefficient Order 1 Coefficient (B10) Rl* -1.0145E+01 -9.8372E-07 -1.7388E-10 6.9464E- 15 -9.2575E-17 R4* 4.6428E+04 -1.5454E-06 -6.9730E-11 3.5310E-14 -6.2971E-18 16 M366474 Ιε3··=?33κ,ρου·-§υ)福孝教sw A3ps30uu-2snb3'sulou-od PU-X3 alkali traction ^ 锶柃喵喵 ^ target 呤 ^ music * 2

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sX 卜X 9X lX 〇X 一 V 17 M366474 經由此所構成的短聚光距二片式扭鏡片之光學面，f〜 118.315 > f(2)Y= 223S9A (mm)，* y =71.50 > yb=53A7(mm) > ΓΓsX 卜X 9X lX 〇X a V 17 M366474 The optical surface of the short-distance two-piece twisted lens formed by this, f~118.315 > f(2)Y= 223S9A (mm), * y =71.50 &gt ; yb=53A7(mm) > ΓΓ

Π見二T7.0卜可將旋轉多面鏡10上光點掃描成為掃插：線二在感触〗5讀行綠，形紐顿先點6 H 及祕’如仏、感級15上朴雄z == 距與〜軸Y距離(mm)的光點之幾何光點直徑(㈣，四.且本只施例之光點分佈圖及光點大小形狀圖，如圖7及圖，所示。表三、第一實施例滿足條件表 d1 d3 d5 fs tan〇3) = ^ ya 主掃描方向 Λ·((^1_1)η 卜(¾ -1) 3.4292 0.7538 Al)y /(2)y 0-1358 5 _ mm(^«ax,y) 0.11 0.0023 0.00008 18 M366474 表四、第一實施例感类鼓上丰爸曼^半徑汽$方根半徑表 Y(mm) 113.17 105.27 95.38 «5.〇Γ^7^^Γ^41 66 „ 〇, )〇„ ~ 光點最大 " ---- 半徑(μηι) (Max. SpotSee the two T7.0 Bu can scan the spot on the rotating polygon mirror 10 into a sweep: Line 2 in the sense of 〗 5 read green, shape Newton first point 6 H and secret 'such as 仏, sense level 15 on Park Xiong z == geometric spot diameter of the spot from the distance from the axis Y (mm) ((4), IV. and the spot distribution map and spot size shape of this example, as shown in Figure 7 and Figure Table 3, the first embodiment satisfies the condition table d1 d3 d5 fs tan〇3) = ^ ya main scanning direction Λ·((^1_1)η 卜 (3⁄4 -1) 3.4292 0.7538 Al)y /(2)y 0 -1358 5 _ mm(^«ax,y) 0.11 0.0023 0.00008 18 M366474 Table 4, the first embodiment of the sense of drums on the Feng Daoman ^ radius steam $ square root radius table Y (mm) 113.17 105.27 95.38 «5. Γ^7^^Γ^41 66 „ 〇, )〇„ ~ Spot Maximum " ---- Radius (μηι) (Max. Spot

Radius) 10.692 8.462 10.546 19.587 17 175 it 570 i〇 ljCA ,Λ 光點& 方 /a/：> U.579 江脱 10.427 6.220 3.614 3.052 2.206 根半徑 (μπι)Radius) 10.692 8.462 10.546 19.587 17 175 it 570 i〇 ljCA , Λ Spot & side /a/:> U.579 江脱 10.427 6.220 3.614 3.052 2.206 Root Radius (μπι)

SuT 4·^« ««2 6.398 5.666 4.638 4.728 3.897 2.711 ,.880 ,417 ,15〇SuT 4·^« ««2 6.398 5.666 4.638 4.728 3.897 2.711 ,.880 ,417 ,15〇

<第二實施例> 本實施例之短聚光距二片式fB鏡片在第—鏡片131第二光學面⑽與第二鏡片132第三光學面咖均係為非球面，使用為非球，公式設計其光學面之曲面；在第—鏡片131第一光學面 =二US第四光學面l32b t主掃描方向均係為非4 非球*參=::=:9=學= 曲點位於ψ=6_47。。<Second Embodiment> The short optical distance two-piece fB lens of the present embodiment is aspherical on the second optical surface (10) of the first lens 131 and the second optical surface of the second lens 132, and is used as a non-spherical surface. The ball, the formula is designed to be the curved surface of the optical surface; in the first optical surface of the first lens 131 = the second US fourth optical surface l32b t main scanning direction is non-four non-ball * parameter =:: =: 9 = learning = song The point is located at ψ=6_47. .

19 M366474 表五、第二實施例之扭光學特柹 f^28!954 ' 光學面 (optical surface) 半徑(mn〇 (Radius) d厚度(mm) (thickness) nd折射率广rpfrantirm ίηΗ户y、反射鏡反射面R0 lens 1 Rl(Toric) 00 12.00 1 1.529 Rlx Rly* 00 -56.141 13.96 R2(Ext. polynomial) R2x* R2y* -31.111 -31.111 13.56 lens 2 R3(Ext. polynomial) R3x* -140.361 12.06 1.529 R3y* -140.361 R4(Toric) R4x -37.540 79.73 R4y* 6098.953 感光鼓(drum)R5 00 0.0 *表示非球面 ---19 M366474 Table 5, Twisted optical characteristics of the second embodiment f^28!954 'optical surface radius (mn〇(Radius) d thickness (mm) (thickness) nd refractive index wide rpfrantirm ίη Seto y, Mirror reflection surface R0 lens 1 Rl(Toric) 00 12.00 1 1.529 Rlx Rly* 00 -56.141 13.96 R2(Ext. polynomial) R2x* R2y* -31.111 -31.111 13.56 lens 2 R3(Ext. polynomial) R3x* -140.361 12.06 1.529 R3y* -140.361 R4(Toric) R4x -37.540 79.73 R4y* 6098.953 Drum R5 00 0.0 * indicates aspheric surface ---

表六(A)、第二實施例之光學面非球面參數光學面 (optical surface)Table 6 (A), the optical surface aspherical parameters of the second embodiment, optical surface

Rl* R4* --孩·像曲面方程式係數Toric Equation Coefficient_|Rl* R4* -- Child-like surface equation coefficient Toric Equation Coefficient_|

Ky圓錐係數4th次幕係數 6th次幕係數gth次幕係數l〇th次幕係數 (Conic Order Order 〇rder OrderKy cone coefficient 4th curtain coefficient 6th curtain coefficient gth curtain coefficient l〇th curtain coefficient (Conic Order Order 〇rder Order

Coefficient) Coefficient (B4) Coefficient (B6) Coefficient (B8) ^ff^Cient ' -------(Bl〇)_ 3.5663E-01 3.0005E-06 5.6757E-10 2.2990E-13 -4.2545E-17, 1.3628E+04 -9.5217E-07 2.3670E-11 3.8344E-15 -1.2502E-18 20 M366474Coefficient) Coefficient (B4) Coefficient (B6) Coefficient (B8) ^ff^Cient ' -------(Bl〇)_ 3.5663E-01 3.0005E-06 5.6757E-10 2.2990E-13 -4.2545E -17, 1.3628E+04 -9.5217E-07 2.3670E-11 3.8344E-15 -1.2502E-18 20 M366474

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經由此所構成的短聚光距二片式扭鏡片之光學面， 89.253、f(2)Y= _3G6.1G7 (mm)，其旧9 73、％=5515(_，H 最大視窗肖P=34.673。，可紐轉乡錢1G ±光點娜成為掃^ 光線，在感光鼓I5上進行聚焦，形成較倾光肠並滿足式(4)〜(: 及式(7)〜(9)之條件’如表七、感光鼓15上以中心軸ζ軸在γ方向距離中心軸γ距離(mm)的光點之幾何光點直徑(μιη)，如表八；且本實施例之光點分佈圖及光點大小形狀圖，如圖1〇及圖u所示。表七、第二實施例滿足條件表 ί/j + ί/3 + d5 fs 3.6365 tan〇3) = A y〇 0.6917 主掃描方向 f(i)y f(2)y 0.1216 5 min(Smax>y) max(U 0.21 „ _ max(Sb ·5α) W max / 〇 \^b0 Sa0) 0.0021 min〇VD (n) 0.00012 表八、苐一·實施例感光政上光點最大半徑與均方根半徑表 Y(腕）U4 64 1〇7.19 97_50 87_〇4~^~^~^Γ^ΠΓ69 71: m 光點最大 ' ' ---- 半徑(μιη) (Max. SpotThe optical surface of the short-distance two-piece twisted lens thus formed, 89.253, f(2)Y= _3G6.1G7 (mm), the old 9 73, %=5515 (_, H max window Xiao P= 34.673., can turn the money into the home 1G ± light point Na becomes a sweeping light, focus on the photosensitive drum I5, forming a more inclined intestine and satisfy the formula (4) ~ (: and formula (7) ~ (9) The condition is as shown in Table 7. The geometric spot diameter (μιη) of the spot on the photosensitive drum 15 with the central axis ζ axis in the γ direction from the central axis γ distance (mm), as shown in Table VIII; and the spot distribution of this embodiment Figure and spot size shape diagram, as shown in Figure 1 and Figure u. Table VII, the second embodiment meets the condition table ί/j + ί/3 + d5 fs 3.6365 tan〇3) = A y〇0.6917 main scan Direction f(i)yf(2)y 0.1216 5 min(Smax>y) max(U 0.21 „ _ max(Sb ·5α) W max / 〇\^b0 Sa0) 0.0021 min〇VD (n) 0.00012 Table VIII,苐一·Examples Photosensitive political spot maximum radius and root mean square radius table Y (wrist) U4 64 1〇7.19 97_50 87_〇4~^~^~^Γ^ΠΓ69 71: m Spot maximum ' ' - --- Radius (μιη) (Max. Spot

Radius) 6.428 5.183 10.919 8.992 2.324 4.215 2.410 5.249 8.179 6.748 2.989 3.270 先點均方根半徑 (μιη) (RMS Spot Radius ) 2.853 2.067 4.140 3.704 1.475 2.284 1.081 2.195 3.301 2,554 1.300 1.676 22 M366474 <第三實施例> 本實施例之短聚光距二片式扭鏡片在第一鏡片131第二光學面131b與第二鏡片132第三光學面132a均係為非球面，使用式(^) 為非球面公式設計其光學面之曲面；在第一鏡片131第一光學面 131a、第二鏡片132第四光學面132b之主掃描方向均係為非球面’使用式(2)為非球面公式設計其光學面之曲面。其光學特性與非球面參數如表九及表十，光路圖如圖12，第四光學面之反曲點位於ψ=31.86°。Radius) 6.428 5.183 10.919 8.992 2.324 4.215 2.410 5.249 8.179 6.748 2.989 3.270 First point rms radius (μιη) (RMS Spot Radius) 2.853 2.067 4.140 3.704 1.475 2.284 1.081 2.195 3.301 2,554 1.300 1.676 22 M366474 <Third embodiment> The short concentrating two-piece twisted lens of the present embodiment is aspherical on the second optical surface 131b of the first lens 131 and the third optical surface 132a of the second lens 132, and is designed by using the formula (^) as an aspherical formula. The curved surface of the optical surface; the main scanning direction of the first optical surface 131a of the first lens 131 and the fourth optical surface 132b of the second lens 132 are aspherical surfaces. The curved surface of the optical surface is designed using the aspherical formula (2). . The optical characteristics and aspherical parameters are shown in Table 9 and Table 10. The optical path diagram is shown in Fig. 12. The inflection point of the fourth optical surface is at ψ=31.86°.

表九、第三實施例之ίθ光學特性 fs= 27.043 ~ - 光学面半徑(mm) d厚度(mm) nd折射率 (optical surface) (Radius) (thickness) (refraction index) 反射鏡反射面R〇 00 11.50 1 lens 1 Rl(Toric) 1.607 Rlx 00 12.08 Rly* -177.893 R2(Ext. polynomial) R2x* -40.553 8.89 R2y* -40.553 lens 2 R3(Ext. 1.607 polynomial) R3x* -210.675 10.84 R3y* -210.675 R4(Toric) R4x 〇〇 79.34 R4y* 32522.536 感光鼓〇lruni)R_5 00 0.0 +表不非球面 —---- 23 M366474 M(A)、$ 三 -----學像曲面方程式係數Toric Equation Coefficient Ky圓錐係數光學面 (optical surface) (ConicTable IX, θθ optical characteristics of the third embodiment fs= 27.043 ~ - optical surface radius (mm) d thickness (mm) nd refractive index (optical surface) (Radius) (thickness) (refraction index) mirror reflection surface R〇 00 11.50 1 lens 1 Rl(Toric) 1.607 Rlx 00 12.08 Rly* -177.893 R2(Ext. polynomial) R2x* -40.553 8.89 R2y* -40.553 lens 2 R3(Ext. 1.607 polynomial) R3x* -210.675 10.84 R3y* -210.675 R4(Toric) R4x 〇〇79.34 R4y* 32522.536 Drumstick 〇lruni)R_5 00 0.0 +Table is not spherical----- 23 M366474 M(A), $三------------------------- Coefficient Ky cone optical surface (Conic

Coefficient) 10th次冪係數 Order Coefficient (B4) Coefficient (B6) Coefficient (B8) ^eJ)1Cient 4th次冪係數 Order 6tti次冪係數 Order 8th次冪係數 OrderCoefficient) 10th power coefficient Order Coefficient (B4) Coefficient (B6) Coefficient (B8) ^eJ)1Cient 4th power factor Order 6tti power factor Order 8th power factor Order

Rl* 6.4840E-01 -1.5823E-07 -6.9601E-11 2.6894E-14 4.603 IE-17 R4* -1.9666E+04 -5.5815E-10 -4.2780E-12 -2.0912E-15 -5.6015E-19 24 M366474Rl* 6.4840E-01 -1.5823E-07 -6.9601E-11 2.6894E-14 4.603 IE-17 R4* -1.9666E+04 -5.5815E-10 -4.2780E-12 -2.0912E-15 -5.6015E- 19 24 M366474

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sX 卜X ,χ .X 寸x ιΧ ox !V 25 M366474 經由此所構成的短聚光距二片式扭鏡片之光風 85.306、f(2)Y= _281.7G8 (mm)，其 ya=79.34、y 88 予’. 最大視窗角β=48.188。，可將旋轉多面鏡⑴上光點=)，使得光線，麵級15上進行糕，形雜小的総6,並滿及式⑺，之條件’如表卜、感級15上财心軸向距離中:軸γ距離(_的光點之幾何光點直徑㈣），如表十一，且本實糊之光點分個及光點大小雜圖，如圖Η及圖Μ 所示。sX 卜X , χ .X inch x ιΧ ox !V 25 M366474 The light wind 85.306, f(2)Y= _281.7G8 (mm) of the short concentrating two-piece twisted lens formed by this, ya=79.34 , y 88 to '. The maximum window angle β = 48.188. , can rotate the polygon mirror (1) on the light point =), so that the light, the surface level 15 on the cake, the shape of the small 総6, and full formula (7), the conditions 'such as table, level 15 on the financial axis In the distance: the axis γ distance (the geometric spot diameter (4) of the spot of _), as shown in Table XI, and the spot of the real paste and the spot size are shown in Figure Η and Figure 。.

表Η—、第三實施例滿足條件表 di -l· fs tan〇3) = ^ ya 主掃描方向 f .^ndi -1) {nd2 -1) 3.6879 1.1180 A”少 f{2)y 0.1341 s max(5maxy) 0.24 max(Sb -Sn) max /〇 Q；''''Γ— (n) 0.0041 _min〇VSa) t n。） 0.00035Table Η—, the third embodiment satisfies the condition table di -l· fs tan〇3) = ^ ya main scanning direction f .^ndi -1) {nd2 -1) 3.6879 1.1180 A" less f{2)y 0.1341 s Max(5maxy) 0.24 max(Sb -Sn) max /〇Q;''''Γ—(n) 0.0041 _min〇VSa) tn.) 0.00035

26 M366474 表十二、第-三寬秀逆產患雙主_光點最大半徑與均方根半徑表 Y(mm) 134.53 120.14 104,45 ^〇6 76.76 64.33 52.62 41.48 30.77 20.36 10.14 〇.〇〇光點最大---一 - 半徑(μπι) (Max. Spot ^^方 18276 17720 12 150 6,538 5·355 7 810 9391 1〇·683 8·825 4.359 5_729 5·651 根半徑 _ (RMS Spot26 M366474 Table 12, the third-thirth wide show, the opposite of the main _ spot maximum radius and root mean square radius table Y (mm) 134.53 120.14 104,45 ^〇6 76.76 64.33 52.62 41.48 30.77 20.36 10.14 〇. Point Max---One-Radius (μπι) (Max. Spot ^^方18276 17720 12 150 6,538 5·355 7 810 9391 1〇·683 8·825 4.359 5_729 5·651 Root Radius _ (RMS Spot

Radius) 7.478 6.545 4.622 3.210 2.677 3.429 3.597 3.625 3.101 2.102 2.484 2 827 <第四實施例> 本實施例之短聚光距二片式ie鏡片在第一鏡片131第二光學面i3ib與第二鏡片132第三光學面132a均係為非球面，使用式^ 為非球面公式設計其光學面之曲面；在第一鏡片131第一光學面 131a、第二鏡片132第四光學面132b之主掃描方向均係為非球面’使用式(2)為非球面公式設計其光學面之曲面。其光學特性與非球面參數如表十三及表十四，光路圖如圖15，第四光學面13沘之反曲點位於ψ=18.94。。 27 M366474 表十三、第四實施例之fB光夸特性 fs= 21.528 ~~---- 光學面半徑(mm) d厚度(mm) nd折射率 (optical surface) (Radius) (thickness) (refraction index) 反射鏡反射面R0 00 12.00 1 lens 1 1 COQ Rl(Toric) 1 .jZy Rlx 00 10.00 Rly* -60.135 R2(Ext. polynomial) R2x* -52.599 22.00 R2y* -52.599 lens 2 i ς〇〇 R3(Ext. 1 polynomial) R3x* -229.314 9.50 R3y* -229.314 R4(Toric) R4x -30.927 71.50 R4y* 353.231 感光鼓(drum)R5 00 0.0Radius) 7.478 6.545 4.622 3.210 2.677 3.429 3.597 3.625 3.101 2.102 2.484 2 827 <Fourth embodiment> The short concentrating two-piece IE lens of this embodiment is in the second optical surface i3ib and the second lens of the first lens 131 The third optical surface 132a is aspherical, and the curved surface of the optical surface is designed by using the aspherical formula; the main scanning direction of the first optical surface 131a of the first lens 131 and the fourth optical surface 132b of the second lens 132. Both are aspherical surfaces. Using equation (2), the surface of the optical surface is designed for the aspherical formula. The optical characteristics and aspherical parameters are shown in Table 13 and Table 14. The optical path diagram is shown in Fig. 15. The inflection point of the fourth optical surface 13沘 is located at ψ=18.94. . 27 M366474 Table XIII, fB light-characteristic characteristics of the fourth embodiment fs= 21.528 ~~---- Optical surface radius (mm) d thickness (mm) nd refractive index (optical surface) (Radius) (thickness) (refraction Index) Reflector Reflector R0 00 12.00 1 lens 1 1 COQ Rl(Toric) 1 .jZy Rlx 00 10.00 Rly* -60.135 R2(Ext. polynomial) R2x* -52.599 22.00 R2y* -52.599 lens 2 i ς〇〇R3 (Ext. 1 polynomial) R3x* -229.314 9.50 R3y* -229.314 R4(Toric) R4x -30.927 71.50 R4y* 353.231 Drum (Rrum) R5 00 0.0

表十四(A)、第四實施例之光學面非琅面來盤光學面 (optical surface) 環像曲面方程式儀數T〇ric Equation Coeffieient Ky圓錐係數 (Conic Coefficient) 4th次冪係數6th次冪係數她次幂係數 Order Order Order Coefficient (B4) Coefficient (B6) Coefficient (B8) 10th次冪係數 Order Coefficient (BIO) Rl* -1.6797E+00 1.3101E-05 -1.4918E-08 -5.2543E-12 9.1885E-15 R4* 0.0000E+00 -3.0013E-06 1.3772E-09 -2.8610E-13 8.4676E-17Table 14 (A), the fourth embodiment of the optical surface non-faceted disk optical surface (optical surface) ring image surface equation number T〇ric Equation Coeffieient Ky cone coefficient (Conic Coefficient) 4th power coefficient 6th power Coefficient her power coefficient Order Order Order Coefficient (B4) Coefficient (B6) Coefficient (B8) 10th power coefficient Order Coefficient (BIO) Rl* -1.6797E+00 1.3101E-05 -1.4918E-08 -5.2543E-12 9.1885E-15 R4* 0.0000E+00 -3.0013E-06 1.3772E-09 -2.8610E-13 8.4676E-17

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0A --3m 寸.9 00+30000Ό 01-3S86·寸 00+30000Ό 00+3000-0 00+30000,0 Ξώ06εζτ u-ss·' 00+30000Ό 01-3寸£61·· 00+30000Ό 90,HS90_l_ ooiooo.o 00+30000Ό 00+30000Ό 6S9U1.6 οο+ωοοοο-0 s—36-·· 00+30000Ό 00+30000Ό =-=938寸 6·寸 00+30000Ό 90,H09s,l_ 00+30000Ό 00+30000Ό 00+30000,0 00+3000-0 00+3000-0 卜S9卜9Γ6 00+30000,0 S-388Z-9-00+30000,0 00+30000,0 00+30000,0 00+Η0000Ό 00+30000Ό 00+30000,0 S_39S-I— 00+30000Ό S—31I00.8 00+30000Ό 9X ^ .X ~v 29 M366474 經由此所構成的短聚光m fe鏡片之光學面，f 獅π、f矿·232·765 (mm)，其 ya=7i 5G、的346 f(1)产得最大視窗角β，.789。’可將旋轉多〕，使描光線，在感細上進嫩，形成較小的光=== (4H6)及式(7H9)之條件，如表十五、感光鼓15上以中心軸^ ^方向距離中心軸γ距離(m_先點之幾何光點直徑㈣，如十六’且本實施例之光點分佈圖及光點大小形狀圖，如圖16及圖17所示。表十五、第四實施例滿足條件表0A --3m inch.9 00+30000Ό 01-3S86·inch00+30000Ό 00+3000-0 00+30000,0 Ξώ06εζτ u-ss·' 00+30000Ό 01-3 inch £61·· 00+30000Ό 90, HS90_l_ ooiooo.o 00+30000Ό 00+30000Ό 6S9U1.6 οο+ωοοοο-0 s—36-·· 00+30000Ό 00+30000Ό =-=938 inch 6·inch00+30000Ό 90,H09s,l_ 00+30000Ό 00 +30000Ό 00+30000,0 00+3000-0 00+3000-0 BU S9 BU 9Γ6 00+30000,0 S-388Z-9-00+30000,0 00+30000,0 00+30000,0 00+Η0000Ό 00+30000Ό 00+30000,0 S_39S-I— 00+30000Ό S—31I00.8 00+30000Ό 9X ^ .X ~v 29 M366474 The optical surface of the short concentrating m fe lens thus formed, f lion π, f mine · 232 · 765 (mm), its ya = 7i 5G, 346 f (1) produced the maximum window angle β, .789. 'You can rotate more', so that the light is traced, and the light is tender, and the conditions of smaller light === (4H6) and formula (7H9) are formed, as shown in Table 15. The central axis of the photosensitive drum 15 is ^ ^ Direction distance from the central axis γ distance (m_ geometric point diameter of the first point (four), such as sixteen' and the light spot distribution map and the spot size shape diagram of this embodiment, as shown in Fig. 16 and Fig. 17. V. Fourth embodiment satisfies the condition table

4.9006 0.7478 d5 ~fs~~ tan()3) = ^-4.9006 0.7478 d5 ~fs~~ tan()3) = ^-

主掃描方向人.( 又 _ miU (nd\ ~ 1) ! ^nd2 ~ f(l)y fJ)y 0.0779 maX(5max,y) _max(^-gj 'Sa〇) = min(VSj 0.46 0.0233 0.0028Main scanning direction person. (also _ miU (nd\ ~ 1) ! ^nd2 ~ f(l)y fJ)y 0.0779 maX(5max,y) _max(^-gj 'Sa〇) = min(VSj 0.46 0.0233 0.0028

.M366474 表十六、第四y施例處立鼓占患艮半徑表 Υ(_ Π6.88 108.26 97.69 86.96 : ^ 光點最大 _ 半徑(μπι) 29.722 19.256 21.576 21.001 18 266 15 4¾ im (Max. Spot 15.438 13.833 13.628 13.843 13.692 13.545 13.853.M366474 Table 16 and the fourth y example of the standing drum occupying the radius of the affected area (_ Π 6.88 108.26 97.69 86.96 : ^ spot maximum _ radius (μπι) 29.722 19.256 21.576 21.001 18 266 15 43⁄4 im (Max. Spot 15.438 13.833 13.628 13.843 13.692 13.545 13.853

Radius) 光點4方根半徑Radius) Spot 4 square root radius

XlsP〇t 15611 9·971 11 092 11 160 10538 «338 7,S7 7,88 8,17 8,74 7,71 ?426 Radius <第五實施例> 本實施例之短聚光距二片式扭鏡片在第—鏡片131第二面131b與第二鏡片132第三光學面132&均係為非球面使= 為非球面公式設計其光學面之曲面；在第—鏡片131第 131a、第二鏡片132第四光學面之主掃描方向均面’使用式⑵為非球面公式設計其光學面之曲面。其光1 = 非球面參數如表十七及表十八，光顧如圖18，第四光學面^ 之反曲點位於ψ=9.60°。 U2b 31 M366474 表十七、第五實施例之ίθ光學特神 27.457 光學面 (optical surface) 半徑(nun) (Radius^ d厚度(mm) nd折射率 (thickness) (refraction index) 11.50 反射鏡反射面RO lens 1 Rl(Toric) Rlx 〇〇 Rly* -66.864 R2(Ext. polynomial) R2x* -25.656 R2y* -25.656 lens 2 R3(Ext. polynomial) R3x* -116.923 R3y* -116.923 R4(Toric) R4x 00 R4y* 4331.455 感光鼓(drum)R5 00 表示非球面 12.30 15.30 16.94 72.69 0.0 1 1.607 1.529XlsP〇t 15611 9·971 11 092 11 160 10538 «338 7, S7 7,88 8,17 8,74 7,71 ?426 Radius <Fifth Embodiment> The short convergence distance of the present embodiment The twisted lens is on the second surface 131b of the first lens 131 and the third optical surface 132 of the second lens 132 is aspherical so that the surface of the optical surface is designed for the aspherical formula; in the 131st, the first lens 131 The main scanning direction of the fourth optical surface of the second lens 132 is uniform. The curved surface of the optical surface is designed using the aspherical formula (2). Its light 1 = aspherical parameters are shown in Table 17 and Table 18, as shown in Figure 18, and the inflection point of the fourth optical surface ^ is at ψ = 9.60 °. U2b 31 M366474 Table 17 and the fifth embodiment of the ίθ optical feature 27.457 optical surface radius (nun) (Radius^d thickness (mm) nd refractive index (refraction index) 11.50 mirror reflection surface RO lens 1 Rl(Toric) Rlx 〇〇Rly* -66.864 R2(Ext. polynomial) R2x* -25.656 R2y* -25.656 lens 2 R3(Ext. polynomial) R3x* -116.923 R3y* -116.923 R4(Toric) R4x 00 R4y* 4331.455 Drum R5 00 means aspheric 12.30 15.30 16.94 72.69 0.0 1 1.607 1.529

查土6(A)、第五實施例之光學面而灸爷光學面 (optical surface) 環像曲面方程式係數Toric Equation Coeffident Ky圓錐係數 (Conic Coefficient) 4th次冪係數6th次幂係數8th次幂係數 Order Order 〇rder Coefficient (B4) Coefficient (B6) Coefficient (B8) 10th次冪係數 Order Coefficient (BIO) Rl* -5.3352E-01 8.6041E-07 -9.7060E-10 1.7705E-12 -6.6323E-16 R4* -3.8593E+04 -5.9560E-07 1.1700E-10 -1.0388E-14 -2.1561E-18 32 -M366474 寸寸 ISO- =(c8s30u.2uou)lf#教 81¾ JSPs3ouuo!wnb3I.su!0ux0d pusxw^傘^祺柃««^评岭蝉奪 *s -39-Γ3 00+30000Ό 00+30000ΌChasing 6 (A), the optical surface of the fifth embodiment and the optical surface of the moxibustion. The toric equation Coeffident Ky conical coefficient (Conic Coefficient) 4th power coefficient 6th power coefficient 8th power factor Order Order 〇rder Coefficient (B4) Coefficient (B6) Coefficient (B8) 10th power factor Order Coefficient (BIO) Rl* -5.3352E-01 8.6041E-07 -9.7060E-10 1.7705E-12 -6.6323E-16 R4* -3.8593E+04 -5.9560E-07 1.1700E-10 -1.0388E-14 -2.1561E-18 32 -M366474 inch ISO- =(c8s30u.2uou)lf#教813⁄4 JSPs3ouuo!wnb3I.su!0ux0d pusxw ^ Umbrella ^祺柃««^评岭蝉夺*s -39-Γ3 00+30000Ό 00+30000Ό

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% y 9Χ εΧ% ιΧ οχ !V 33 M366474 、至由此所構成的短聚光距二片式㊉鏡片之 89.834、f(2)Y= -314.630 (mm)，其 _,694、_，— 得最大視靠β=33.523。，可將旋轉多面鏡ig⑨(=)’使靜·嶋件，如表十九、感光=中在Y方向距離中心轴γ距離(mm)的光點之幾何光點直徑_，如表一十，且本實施例之光點分佈圖及光點大小形狀圖，如圖及圖20所示。表十九、第五實施例滿足條件表 3.6235 0.6625 0.1393 0.14 0.0031 0-000062 dx+d3+ d5 ~"Is tan(j3)=— y a 主掃描方向Λ · •/⑴ y 7(2)少% y 9Χ εΧ% ιΧ οχ !V 33 M366474, to the short-growth two-piece ten lens 89.834, f(2)Y= -314.630 (mm), _, 694, _, - The maximum depends on β = 33.523. The rotating polygon mirror ig9 (=) can be used to make the static and 嶋 pieces, as shown in Table 19, sensitization = the geometric spot diameter _ of the spot in the Y direction from the central axis γ distance (mm), as shown in Table 1-10 The light spot distribution map and the spot size shape map of the present embodiment are as shown in FIG. 20 and FIG. Table 19 and the fifth embodiment satisfy the condition table 3.6235 0.6625 0.1393 0.14 0.0031 0-000062 dx+d3+ d5 ~"Is tan(j3)=— y a Main scanning direction Λ · •/(1) y 7(2)

δ min(U _maxH)δ min(U _maxH)

Vmax=ls~sJ'Vmax=ls~sJ'

=min(VSJ η-= 一(ny 34 M366474 半徑表表二十 Y(mm) 109.48 102.58 93.62 於》β 41·66 31.11 麵脈‘ 半徑(μτη) (Max. Spot=min(VSJ η-= one (ny 34 M366474 radius table table twenty Y(mm) 109.48 102.58 93.62 on" β 41·66 31.11 face vein ‘ radius (μτη) (Max. Spot

RadiUS) 8.153 5.794 4.331 6204 ΛΑηο 先點均方 6M2 6121 5601 6344 7-047 5.073 1.624 U78 根半徑 (μιη) (RMS Spot . 2.978 2.667 2.552 1.859 0.802 0.799RadiUS) 8.153 5.794 4.331 6204 ΛΑηο First point mean square 6M2 6121 5601 6344 7-047 5.073 1.624 U78 Root radius (μιη) (RMS Spot . 2.978 2.667 2.552 1.859 0.802 0.799

Radius) 4.063 2.235 I.733 2.662 3.067 3.144 鲁 < 弟六實施例> 本實施例之短聚光距二片式ie鏡片在第—鏡片131第二光風 2 131b與第二鏡片132第三光學面13仏均係為非球面，使用式為非球面公式設計其光學面之曲面；在第131第-光學面第二鏡片132第四光學面132b之主掃描方向均係為非球非球非球面公式設計其光學面之曲面。其絲特性與 132b ^ ―及表二十二，光路圖如圖2卜第四光學面 • ZD之反曲點位於ψ=13.07。。 35 M366474 表二十一、第六實施例之fB光曼特,μ： fs= 34.163 ' 光學面半徑(mm) d厚度(mm) nd折射率 (optical surface) (Radius) (thickness) (refraction index) 反射鏡反射面R0 00 11.50 1 lens 1 1.607 Rl(Toric) Rlx 00 10.43 Rly* -86.447 R2(Ext. polynomial) R2x* -51.671 17.49 R2y* -51.671 lens 2 1.529 R3(Ext. polynomial) R3x* -458.049 6.95 R3y* -458.049 R4(Toric) R4x -125.463 65.46 R4y* 947.263 感光鼓(drum)R5 氺生· JU π 00 0.0 *表示非球面Radius) 4.063 2.235 I.733 2.662 3.067 3.144 Lu < Sixth Embodiment> The short concentrating two-piece IE lens of this embodiment is in the first lens 131 second glare 2 131b and second lens 132 third optical The surface 13仏 is aspherical, and the surface of the optical surface is designed by using the aspherical formula; the main scanning direction of the fourth optical surface 132b of the 131st optical surface 132 is an aspherical non-spherical non-spherical The spherical formula is designed to be the surface of its optical surface. Its silk characteristics are 132b ^ ― and Table 22, the optical path diagram is shown in Figure 2, the fourth optical surface. • The inflection point of ZD is at ψ=13.07. . 35 M366474 Table 21, fB light mantle of the sixth embodiment, μ: fs = 34.163 ' Optical surface radius (mm) d thickness (mm) nd refractive index (optical surface) (Radius) (thickness) (refraction index Reflector reflecting surface R0 00 11.50 1 lens 1 1.607 Rl(Toric) Rlx 00 10.43 Rly* -86.447 R2(Ext. polynomial) R2x* -51.671 17.49 R2y* -51.671 lens 2 1.529 R3(Ext. polynomial) R3x* - 458.049 6.95 R3y* -458.049 R4(Toric) R4x -125.463 65.46 R4y* 947.263 Drum R5 Twin · JU π 00 0.0 * indicates aspheric

環像曲面方程式係數Toric Equa^ Coeffident 表二十二(Α)、第六實施例之光學面非玻面|齡光學面 --- (optical Ky圓錐係數4也次冪係數6th次冪係數8th次冪係數10th : surface) (Conic Order Order 〇rder Order 10th次冪係數 surface) (Comc Order Order 〇rder «rderRing image equation coefficient Toric Equa^ Coeffident Table 22 (Α), the sixth embodiment of the optical surface non-glass surface | age optical surface --- (optical Ky cone coefficient 4 also power coefficient 6th power factor 8th times Power factor 10th : surface) (Conic Order Order 〇rder Order 10th power factor surface) (Comc Order Order 〇rder «rder

Coefficient) Coefficient (B4) Coefficient (B6) Coefficient (B8) ~~Γ----~~__} (BIO)Coefficient) Coefficient (B4) Coefficient (B6) Coefficient (B8) ~~Γ----~~__} (BIO)

Rl* 4.4964E+00 2.5138E-06 -1.0359E-09 2.7212E-12 -8.4279E-15 —?ί!_-1.2544E+02 -2.4604E-06 -2.9977E-10 1.9307E-13 -1.3388E-17 36 ，M3.66474Rl* 4.4964E+00 2.5138E-06 -1.0359E-09 2.7212E-12 -8.4279E-15 —?ί!_-1.2544E+02 -2.4604E-06 -2.9977E-10 1.9307E-13 -1.3388 E-17 36 , M3.66474

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60ώδ§Ί· 69S0PI ε'390ε·? 00+30000Ό lspes°uofanb3 I-SOUXIOapsJXH^,#^^^®18^^蝶 -Α % 90-3兮66·' 60ώ09-0' 00+300000 00+ωοοοο.ο ΟΟ+ΗΟΟΟΟΌ 60ώ-Νζ/ι 00+30000Ό ΟΟ+ΗΟΟΟΟΌ 00+300000 00+30000Ό 00+30000 0 80ώ896Γ' ΟΟ+ΗΟΟΟΟΌ 90_S6§.8_ 00+30000Ό ΟΟ+ΗΟΟΟΟΌ &0丨3卜卜卜S 00+30000Ό 90ώ°Ι8Γε_ 00+300000 00+300000 00+30000Ό 00+30000.° 00+30000Ό S-Η 卜 §6 00+30000Ό 寸 0,39 寸 ε·ι_ 00+30000Ό ΟΟ+ΗΟΟΟΟΌ 00+ωοοοο.ο 00+30000Ό 00+30000Ό 00+ωοοοο.ο £0-3S06' 0Ρ+30000Ό εο·3 卜 68·寸 00+300000 *2 L〆 9X 寸X εΧ ιΧ οχ ΪΥ 37 M366474 經由此所構成的短聚光距二片式伤鏡片之光學 89.991 > f(2)Y= -52,085 (mm) , ^ ya=65.46 . yb^8.2〇8(mm) 〇)；：得最大視窗角β=33.523。，可將旋轉多面鏡1G上光點掃描)= 描光線’在感光鼓15上進行聚焦，形成較小的光點6，並^ (4H6)及式⑺〜(9)之條件，如表二十三、感光鼓15上以中心抽;z 轴在Y方向距離中心軸γ距離(mm)的光點之幾何光點直徑(㈣， m本細狀綠_枝_、綱，如圖表二十三、第六實施例滿足條件表 i/j + i/3 + ^^Is ,yb_ tan(jS).. ya 主掃描方向 mini^ δ y | (nd2~l) ij) ，（2)r η. maxdax，） max(^ -Sa) (Sb〇 · SaQ) min(^ -Sa) 2.7648 0.8892 0.1598 0.16 0.0035 0.00010 38 •M3.66474 彳f與财根半徑裘 0.00 光點最大 '------ 半徑(μτη) (Max. Spot 光點均方根半徑 (μια) (RMS Spot 3.479 3.46560ώδ§Ί· 69S0PI ε'390ε·? 00+30000Ό lspes°uofanb3 I-SOUXIOapsJXH^,#^^^®18^^蝶-Α % 90-3兮66·' 60ώ09-0' 00+300000 00+ωοοοο .ο ΟΟ+ΗΟΟΟΟΌ 60ώ-Νζ/ι 00+30000Ό ΟΟ+ΗΟΟΟΟΌ 00+300000 00+30000Ό 00+30000 0 80ώ896Γ' ΟΟ+ΗΟΟΟΟΌ 90_S6§.8_ 00+30000Ό ΟΟ+ΗΟΟΟΟΌ &0丨3卜卜卜00+30000Ό 90ώ°Ι8Γε_ 00+300000 00+300000 00+30000Ό 00+30000.° 00+30000Ό S-Η Bu §6 00+30000Ό Inch 0,39 inch ε·ι_ 00+30000Ό ΟΟ+ΗΟΟΟΟΌ 00+ωοοοο. ο 00+30000Ό 00+30000Ό 00+ωοοοο.ο £0-3S06' 0Ρ+30000Ό εο·3 卜68·inch00+300000 *2 L〆9X inch X εΧ ιΧ οχ ΪΥ 37 M366474 The optical distance of the two-piece lens is 89.991 > f(2)Y= -52,085 (mm) , ^ ya=65.46 . yb^8.2〇8(mm) 〇);: The maximum window angle β=33.523. , can scan the rotating polygon mirror 1G spot scanning) = tracing light 'focusing on the photosensitive drum 15, forming a smaller spot 6, and ^ (4H6) and the conditions of the formula (7) ~ (9), as shown in Table 2 Thirteen, the photosensitive drum 15 is centered; the z-axis is in the Y direction from the central axis γ distance (mm) of the geometric point diameter of the spot ((4), m fine green___, as shown in Figure 20 3. The sixth embodiment satisfies the condition table i/j + i/3 + ^^Is , yb_ tan(jS).. ya main scanning direction mini^ δ y | (nd2~l) ij) , (2) r η . maxdax,) max(^ -Sa) (Sb〇· SaQ) min(^ -Sa) 2.7648 0.8892 0.1598 0.16 0.0035 0.00010 38 •M3.66474 彳f and the root radius 裘0.00 The light spot is the largest '----- - Radius (μτη) (Max. Spot rms radius (μια) (RMS Spot 3.479 3.465

Radius) 19.320 4.986 7.902 4 158 3 ORR ^ 来S说方 3.088 3.540 5.156 3.890 3.067 3.314 399 1.475 祕叫 7201 3.776 3.506 1.915 1.403 1.765 2.283 1.931 1.534 1.408 1. • 藉由上述之實施例說明，本創作至少可達下列功效：、⑴藉由本創作之二片式扭鏡片之設置，可將旋轉多面鏡在成像面上光闕距料速特描現象，修正鱗速特描，使雷射光束於成像面之投射作等速率掃描，使成像於兩相鄰光點間距相等。 (2)藉由本創作之κ㊉鏡片之設置，可畸變修正於主，方向及崎描方向掃描絲，使糕於雜的目機上之光點付以縮小。 * 方！^藉t創作之—片式㊉鏡狀設置，可畸變修正於主掃 _ 崎描錢，使成像在目標物上的光點大小均 (4)藉由本創作之二片S扭鏡片之設置離，使雷射掃描裝置之體積得以減小，達成小型先距性的以為摘作的祕實施例，對摘作而言僅是說明所;本專業技術人員理解，在本創作權利要求的精神和範_可對其進行許纽變，修改，甚至等效變 39 M366474 更’但都將落人本創作的保護範圍内【圖式簡單說明】圖1 為本創作短聚光距二片式扭鏡片之光學路徑之示音圖. 圖2為本第 =學=\，線— 同而變化之示意圖；九面概投射位置之不圖3 明圖；為聚光距二片式扭鏡片第二鏡片之第四光學面反曲圖4為短聚光距二片式糊感光鼓之幾何光點及符號說圖5為t創伽縣H切制域光财效視窗最大角示思·圖；圖6為本創作第—實施例之光學路捏圖；圖7為第-實施例感光鼓上之光點分布圖；圖8為第-實施例之在目標物上不同位置之光點大小形狀圖；圖9為第二實施例之光學路徑圖圖1〇為第二實施例感光鼓上之光點分佈圖·，圖11為第二實施例在目標物上不同位置之光點大小型狀圖；圖12為第三實施例之光學路徑圖；圖13為第三實施例感光鼓上之光點分佈圖；圖14為第三實施例在目標物上不同位置之光點大小形狀圖； M366474 '圖b為第四實施例之光學路徑圖； . 圖16為第四實施例感光鼓上之光點分佈圖；圖17為第四實施例在目標物上不同位置之光點大小形狀圖’ 圖18為第五實施例之光學路徑圖；圖19為第五實施规級上之光點分佈圖；圖2〇為第五實施例在目標物上不同位置之光點大小形狀圖； _ 圖21為第六實施例之光學路徑圖；圖22為第六實施例感光鼓上之光點分佈圖；及圖23為第咖目驗他㈣點大小形狀圖。【主要元件符號說明】 10 :旋轉多面反射鏡； 11:雷射光源； 111 :光束； • 113a ' 113b、113c :掃描光線； 131 :第一鏡片； 131a :第一光學面； 131b :第二光學面； 132 :第二鏡片； 132a :第一光學面； 132b :第二光學面； 15 :感光鼓； M366474 16 :柱面鏡； 2、2a、2b、2c :光點；及 3:有效掃描視窗。Radius) 19.320 4.986 7.902 4 158 3 ORR ^ To S say 3.088 3.540 5.156 3.890 3.067 3.314 399 1.475 Secret 7201 3.776 3.506 1.915 1.403 1.765 2.283 1.931 1.534 1.408 1. • By the above example, this creation is at least The following effects: (1) With the setting of the two-piece twist lens of the present invention, the rotating polygon mirror can be used to describe the speed of the aperture on the imaging surface, and the scale speed is specially described to make the projection of the laser beam onto the imaging surface. An equal-rate scan is performed so that the imaging is equally spaced between two adjacent spots. (2) With the setting of the κ10 lens of this creation, the distortion can be corrected in the main direction, the direction and the direction of the scan, so that the light spot on the miscellaneous eyepiece is reduced. * Party! ^ Born t creation - slice ten mirror setting, distortion correction in the main sweep _ Saki-shou money, so that the size of the spot on the target is (4) by the setting of the two S-twist lenses of this creation The embodiment of the present invention is understood to be a mere embodiment of the invention. _ can be changed, modified, and even equivalent to 39 M366474 more 'but will fall within the protection scope of this creation [simplified diagram] Figure 1 is a short-distance two-piece twist lens The sound path of the optical path. Fig. 2 is a schematic diagram of the first = learning = \, line - the same change; the nine-sided general projection position is not shown in Figure 3; is the second lens of the concentrated distance two-piece twist lens The fourth optical surface is recurved. Figure 4 is the geometric spot and symbol of the short-converging two-chip paste photosensitive drum. Figure 5 is the maximum angle of the graph of the H-cutting area H-cutting area. 6 is an optical path pinch of the first embodiment of the present invention; FIG. 7 is a light spot distribution diagram of the photosensitive drum of the first embodiment. 8 is a view showing a shape of a spot at different positions on a target of the first embodiment; FIG. 9 is an optical path diagram of the second embodiment, FIG. 1 is a distribution of light spots on the photosensitive drum of the second embodiment, Figure 11 is a view showing a spot size pattern of different positions on the object of the second embodiment; Figure 12 is an optical path diagram of the third embodiment; Figure 13 is a light spot distribution diagram of the photosensitive drum of the third embodiment; 14 is a light spot size shape diagram of different positions on the target object of the third embodiment; M366474 'FIG. b is an optical path diagram of the fourth embodiment; FIG. 16 is a light spot distribution diagram on the photosensitive drum of the fourth embodiment; Figure 17 is a view showing a shape of a spot at different positions on a target of the fourth embodiment. Figure 18 is an optical path diagram of the fifth embodiment; Figure 19 is a distribution of light spots on the fifth embodiment; Figure 2 FIG. 21 is an optical path diagram of the sixth embodiment; FIG. 22 is a light spot distribution diagram of the photosensitive drum of the sixth embodiment; and FIG. 23 is a view of a light spot size at different positions on the object of the fifth embodiment; For the first coffee, check his (four) point size chart. [Main component symbol description] 10: rotating polygon mirror; 11: laser light source; 111: light beam; • 113a '113b, 113c: scanning light; 131: first lens; 131a: first optical surface; 131b: second Optical surface; 132: second lens; 132a: first optical surface; 132b: second optical surface; 15: photosensitive drum; M366474 16: cylindrical mirror; 2, 2a, 2b, 2c: spot; and 3: effective Scan the window.

4242

Claims

M3 66474六、申請專利範圍：M3 66474 Sixth, the scope of application for patents:

V.月气修正V. Moon correction

1.一種短聚光距二片式ίθ鏡片，其係適用於雷射掃描裝置，該雷射掃描裝置至少包含-肋發射雷射光束之光源、—用以將雷射光束反射成掃描光線之旋轉多面鏡及一用以感光之目標物；該二片式ίθ鏡片由旋轉多面鏡依序起算，係由一第一鏡片及一第二鏡片所構成，該第一鏡片具有一第一光學面及一第二光學面，該第二鏡片具有-第三光學面及—第四光學面，其特徵在於：該二片式ίθ鏡片在光軸上的主掃描方向，該第一、第二及第三光學面之凹面在該旋轉多面鏡侧，該第四光學面具有一反曲點且其凸面在該旋轉多面鏡侧；該第一光學面、該第二光學面、該第三光學面、该第四光學面在主掃描方向均為非球面；並滿足下列條件： 25<A±^±^l<5>2 ； J S 0.5429 <tan〇3)< 1.2799 ；其中，山為光軸上時該旋轉多面鏡反射面至該第一鏡片之方疋轉夕面鏡側光學面之距離、山為光軸上時該第一鏡片之目標物侧光學面至該第二鏡片之旋轉多面鏡侧光學面之距離、山為光軸上時s亥弟二鏡片之目標物側光學面至該目標物之距離、尨為該二片式ίθ鏡片之複合焦距，p為最大有效視窗角。 2,如申請專利範圍第1項所述之短聚光距二片式扭鏡片，在主掃描方向進一步滿足下列條件：〇M<fs.^^+^izRUQ22 ; Λΐ)Υ J(2)y 其中’ f⑴γ為該第一鏡片在主掃描方向之焦距、f(2)Y為該第二鏡片在主掃描方向之焦距、fs為二片式扭鏡片之複合焦距、 43 =)叱分別為該第一鏡片與該第二鏡片之折射率㈣action 搞t二專她圍第1項所述之短聚光距二片式ίθ鏡片，其中該知光線於該目標物上形成—最 ^光點與該最小光點大小的比值滿足：及最从點，該最大先 0.10^5=^¾^ . max(U , 點之為該目標物上該掃描光線形成的Y位置上的光 =之最大+徑、δ為該目標物上該最小光點與該最大光點之比 =申^利範圍第1項所述之短聚光距二片式历鏡片其甲該 =ί 標物上形成—最大先贼—最小光點，在該目標足該最大光點的比值與在該目標物上最小光點的比值分別滿 ^0.05 、max〇V 又) 點在^ ^與^為織轉多面鏡反射面上該掃描光線的光私在♦描方向及主掃描方向之均方根半徑、1與&為該 ^掃描光線形成的任-個光點在副掃描方向及主掃描^ 之句方根半徑、η臟為該旋轉多面鏡反射面該目獅鳩= =面上掃描光朗光點鱗描在該目標物上該最小光點的比 44 M366474 丨.逆 !· ί 七、圖式：A short-focusing two-piece ίθ lens suitable for use in a laser scanning device comprising at least a light source for emitting a laser beam from a rib, for reflecting a laser beam into a scanning light a rotating polygon mirror and a target for sensitization; the two-piece ίθ lens is sequentially formed by a rotating polygon mirror, and is composed of a first lens and a second lens, the first lens having a first optical surface And a second optical surface, the second lens has a third optical surface and a fourth optical surface, wherein the two-dimensional ίθ lens is in a main scanning direction on the optical axis, the first and second a concave surface of the third optical surface on the side of the rotating polygon mirror, the fourth optical mask having an inflection point and a convex surface on the side of the rotating polygon mirror; the first optical surface, the second optical surface, and the third optical surface The fourth optical surface is aspherical in the main scanning direction; and the following conditions are satisfied: 25 <A±^±^l<5>2; JS 0.5429 <tan〇3)<1.2799; wherein, the mountain is light Rotating the polygon mirror reflection surface to the side of the first lens on the shaft The distance between the optical side of the mirror side, the distance from the target side optical surface of the first lens to the rotating polygon side optical surface of the second lens when the mountain is on the optical axis, and the shaidi two lens when the mountain is on the optical axis The distance from the target side optical surface to the target, 尨 is the composite focal length of the two-piece ίθ lens, and p is the maximum effective viewing angle. 2. The short concentrating two-piece twisted lens described in claim 1 of the patent application further satisfies the following conditions in the main scanning direction: 〇M<fs.^^+^izRUQ22; Λΐ)Υ J(2)y Wherein 'f(1) γ is the focal length of the first lens in the main scanning direction, f(2)Y is the focal length of the second lens in the main scanning direction, fs is the composite focal length of the two-piece twisted lens, 43 =) 叱 respectively The refractive index of the first lens and the second lens (4) action is a short-focusing two-piece ίθ lens described in item 1, wherein the light is formed on the target - the most light spot The ratio of the minimum spot size satisfies: and the most from the point, the maximum first 0.10^5=^3⁄4^. max(U, the point is the maximum of the light at the Y position formed by the scanning ray on the target object + The diameter, δ is the ratio of the minimum spot to the maximum spot on the target = the short concentrating distance of the two-piece lens as described in item 1 of the claim area, which is formed on the target - 最大The thief-minimum spot, the ratio of the maximum spot at the target to the minimum spot on the target is ^0.05, max〇V ) ^ ^ and ^ are the surface of the scanning ray mirror, the radiance of the scanning light and the root mean square radius of the main scanning direction, 1 and & are the light formed by the scanning light. The point in the sub-scanning direction and the square root radius of the main scanning ^, η dirty is the rotating polygon mirror reflecting surface of the lion 鸠 = = surface scanning light glare point scale on the target of the minimum spot ratio 44 M366474 丨.Reverse!· ί VII, Schema:

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46 M3 6647446 M3 66474

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48 M3 6647448 M3 66474

49 M36647449 M366474

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