CN116088164A - Method and device for setting field lens refraction surface for converting one-dimensional incidence into two-dimensional light path - Google Patents

Method and device for setting field lens refraction surface for converting one-dimensional incidence into two-dimensional light path Download PDF

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CN116088164A
CN116088164A CN202310300947.3A CN202310300947A CN116088164A CN 116088164 A CN116088164 A CN 116088164A CN 202310300947 A CN202310300947 A CN 202310300947A CN 116088164 A CN116088164 A CN 116088164A
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field lens
dimensional
curve
laser
scanning
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萧德瑛
郭诗坪
马奡麟
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Nantong Tangren Electronic Technology Co ltd
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    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B26/00Optical devices or arrangements for the control of light using movable or deformable optical elements
    • G02B26/08Optical devices or arrangements for the control of light using movable or deformable optical elements for controlling the direction of light
    • G02B26/0816Optical devices or arrangements for the control of light using movable or deformable optical elements for controlling the direction of light by means of one or more reflecting elements
    • G02B26/0833Optical devices or arrangements for the control of light using movable or deformable optical elements for controlling the direction of light by means of one or more reflecting elements the reflecting element being a micromechanical device, e.g. a MEMS mirror, DMD
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B26/00Optical devices or arrangements for the control of light using movable or deformable optical elements
    • G02B26/08Optical devices or arrangements for the control of light using movable or deformable optical elements for controlling the direction of light
    • G02B26/10Scanning systems

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Abstract

The invention provides a field lens refractive surface setting method and a device for converting one-dimensional incidence into a two-dimensional light path, wherein the preferred implementation method comprises the following steps: setting a curve scanned by laser as an 8-shaped scanning curve, parameterizing the 8-shaped scanning curve by adopting a rational function, setting the upper surface of a field lens as cosine wave, and setting the lower surface of the field lens as a slope on the center as cosine wave; and generating a reciprocating shape of an x-axis of the 8-shaped curve through the field lens refractive surface to form a back-and-forth swinging two-dimensional scanning light path, and calculating and solving to obtain a scanning curve after field lens refraction. The invention respectively sets the up-and-down fluctuating curved surface and the left-and-right fluctuating curved surface on the upper surface and the lower surface of the field lens to form the slope on the central line of the refractive surface of the field lens, or singly uses the field lens with up-and-down fluctuating or left-and-right fluctuating single surfaces on the two upper surfaces and the lower surface, so that the one-dimensional incident light of the turning lens can form a two-dimensional scanning light path through the field lens.

Description

Method and device for setting field lens refraction surface for converting one-dimensional incidence into two-dimensional light path
Technical Field
The invention relates to the technical field of two-dimensional laser scanning, in particular to a method and a device for setting a field lens refraction surface for converting one-dimensional incidence into a two-dimensional light path.
Background
The laser technology is a high-new technology crossing disciplines and industries, and along with the development of the laser technology, the laser scanning technology is more and more widely applied in the manufacturing field. The galvanometer laser scanning is mainly applied as a laser scanning technology, and is widely applied to the fields of laser cleaning, laser welding, laser marking and the like due to the characteristics of high precision, high speed and the like. The essence of the galvanometer laser scanning technology is that a high-density and high-power laser source is used as a processing main body, and static laser movement is realized through the one-dimensional or two-dimensional galvanometer reflection or refraction by the galvanometer movement, so that the laser is finally scanned and processed on a workpiece according to a specified rule.
The method of scanning various patterns or curves on a plane by using laser usually uses two galvanometer reflection light as an operation principle, that is, the light is beaten on a first galvanometer to generate the oscillation of a certain axis (such as an x axis), and then beaten on another galvanometer to generate the action of another axis (such as a y axis), so that different laser scanning curves can be formed on the scanning plane through operation, and the laser scanning curves can be displayed on the plane to generate processing or manufacturing effects (such as laser welding, laser marking and the like).
The most common method for scanning various patterns or curves on a plane by using laser is to operate with two vibrating mirrors, wherein light is beaten on a first vibrating mirror to generate the oscillation of the light on a certain axis through the oscillation of the vibrating mirrors, and the oscillating light is beaten on the other vibrating mirror to generate the oscillation on the other axis, so that the curves can be generated when the plane is scanned, and certain processing effects (such as laser welding, laser marking and the like) are shown on the plane.
However, when the two vibrating mirrors are used to generate curves, the two vibrating mirrors are controlled to have different vibration frequencies, and the difference of the vibration frequencies of the two vibrating mirrors can reach several times (sometimes hundreds of times for one axis to reciprocate many times) under a common use condition (not high-speed motion), but the motor control can be coped with because the speed requirement is not high, and even if the controller generates heat, the problem can be caused. The motor control is not feasible (insufficient command period of the controller, heat generation, structural fatigue and the like) due to the too high frequency under the high-speed scanning condition. In addition, in some applications, the total class of the high-speed pair curves is not needed as much, and sometimes only one type of the curve is needed, so that the use of the existing double vibrating mirrors is a resource waste to a certain extent under the condition.
Disclosure of Invention
In view of this, the present invention aims to realize a high-speed and large-area laser scanning curve by adding curved surface features of the upper and lower surfaces to the refractive surface of a field lens (or any lens between any laser source and the scanning surface) to generate a two-dimensional high-speed scanning curve.
The invention provides a field lens refraction surface setting method for converting one-dimensional incidence into a two-dimensional light path, which comprises the following steps: the upper surface and the lower surface of the field lens are respectively provided with an up-and-down undulating curved surface and a left-and-right undulating curved surface to form the slope on the central line of the refractive surface of the field lens, or the field lens with up-and-down undulating or left-and-right undulating on one side of the upper surface and the lower surface is singly used, and the one-dimensional incident light of the rotating lens forms a two-dimensional scanning light path through the field lens.
Further, the method for setting the field lens refraction surface for converting the one-dimensional incidence into the two-dimensional light path comprises the following steps:
s1, setting a curve scanned by laser as an 8-shaped scanning curve, parameterizing the 8-shaped scanning curve by adopting a rational function, and expressing as follows:
Figure SMS_1
(1)
in the formula (1), a is the x-axis length of the 8-shaped curve, b is the y-axis height of the 8-shaped curve, and phi is the rotation angle of the rotary mirror reflecting surface;
the figure-8 line (figure-light curve), also known as the heruo lemniscate (lemniscate of Gerono) or huyghen lemniscate (lemniscate of Huygens), is an algebraic curve with a fourth order, geometric genus (english) of 0, shaped like a lemniscate of 8 or infinite sign;
s2, carrying out surface curved surface treatment on the field lens so that a curve scanned by laser is a two-dimensional surface, setting the upper surface of the field lens as cosine wave, and setting the lower surface of the field lens as a slope on the center as cosine wave; the X-axis reciprocating shape of the 8-shaped curve is generated through the field lens refracting surface, a two-dimensional scanning light path swinging back and forth is formed, and the expression is as follows:
Figure SMS_2
Figure SMS_3
Figure SMS_4
(2)
a in the formula (2) is the length of an 8-shaped curve,
Figure SMS_5
for the scanning speed, t is the scanning time, +.>
Figure SMS_6
LN is the number of 8-shaped curves for scanning length;
s3, calculating and solving a scanning curve after refraction by a field lens (or any lens between any laser source and a scanning surface), and setting the refractive index of the field lens as n, wherein the relation expression of the refractive index, the incident angle and the exit angle is as follows:
Figure SMS_7
Figure SMS_8
Figure SMS_9
Figure SMS_10
Figure SMS_11
Figure SMS_12
(3)
in the formula (3), ni represents the refractive index of the ith refraction, as shown in FIG. 5, θ i Represents the angle theta between the incident laser and the vertical line of the upper surface of the mirror 0 The incident angle of refraction is represented by h2, which is the distance between the target surface and the x direction of the incident laser after the laser is refracted, F' is a first derivative of F to x1, F is the fluctuation function of the upper surface of the field mirror, x1 is the distance between the mirror edge and the incident laser in the x direction, θ 2 、θ 3 、θ 4 The refraction angles of the laser incident lens are respectively;
the scanning curve in the x direction is changed into by the field lens:
Figure SMS_13
the scan curve in the y-direction becomes:
Figure SMS_14
(4)
Figure SMS_15
;/>
in the formula (4), y is the y-axis height of the 8-shaped curve, θ 5 、θ 6 The incidence angles of the laser on the field lens and the scanned surface are respectively, and h3 is the distance between the target surface and the y direction of the incident laser after the laser is refracted.
The method comprises the steps of solving F (x 1) through the formula (3) and the formula (4),
Figure SMS_16
Further, the method for calculating the appearance of the upper surface and the lower surface of the field lens comprises the following steps:
though the formulas (5) and (6) are used, the formulas (5) and (6) are difficult to solve the analysis solution beyond the equation, so that the appearance of the upper surface A surface and the lower surface B surface of the field lens is required to be solved by adopting a numerical method;
Figure SMS_17
(5)
Figure SMS_18
Figure SMS_19
(6)
let equation (5) without affecting the 8-word curve period:
Figure SMS_20
then
Figure SMS_21
And->
Figure SMS_22
A, B are the required height and width of the 8-shaped curve of the laser scanning, and the shapes of the A face and the B face are obtained by solving the following formulas (5) and (6): />
Figure SMS_23
In the formula (5), y is the y-axis height of the 8-shaped curve, θ 5 、θ 6 The incidence angles of the laser light are respectively the field lens and the scanned surface.
Further, the setting method for surface-curved surface of the field lens in the step S2 includes:
the upper surface of the field lens is set to be a curved surface which is up and down fluctuated, and the lower surface of the field lens is set to be a curved surface which is left and right fluctuated, so that a slope is formed on the central line of the refractive surface of the field lens.
Further, the setting method for surface-curved surface of the field lens in the step S2 includes:
the use of a single surface of the two upper and lower surfaces with up-and-down or left-and-right relief field lens allows the formation of a laser scan curve.
Further, if the curve scanned by the laser in the step S2 is a straight line, the refractive surface of the field lens is set to be a plane.
The invention also provides a field lens refracting surface setting device for converting one-dimensional incidence into a two-dimensional light path, and the field lens refracting surface setting method for converting the one-dimensional incidence into the two-dimensional light path comprises the following steps:
a field lens: the scanning curve is used for refracting incident light through the refraction surface to form back and forth swing;
curved surface characteristics of field lens refractive surface: the surface of the field lens is curved so that a curve scanned by laser is a two-dimensional surface; the upper surface of the field lens is set as cosine wave, and the lower surface of the field lens is set as the slope on the center as cosine wave; the X-axis reciprocating shape of the 8-shaped curve is generated through the field lens refracting surface, and a two-dimensional scanning light path swinging back and forth is formed.
The present invention also provides a computer-readable storage medium having stored thereon a computer program which, when executed by a processor, implements the steps of the above-described field lens refractive surface setting method of converting a one-dimensional incidence into a two-dimensional optical path.
The invention also provides a computer device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, the processor implementing the steps of the field lens refractive surface setting method for converting a one-dimensional incidence into a two-dimensional light path as described above when executing the program.
Compared with the prior art, the invention has the beneficial effects that:
the invention sets up the up-down curved surface and the left-right curved surface of the field lens (or any lens between any laser source and scanning surface) to form the slope on the central line of the refractive surface of the field lens, or uses the field lens (or any lens between any laser source and scanning surface) with up-down or left-right fluctuation on one side of the two upper and lower surfaces alone to form the scanning mode of the laser scanning curve, can form the two-dimensional scanning light path of the one-dimensional incident light of the turning lens through the field lens (or any lens between any laser source and scanning surface), and realizes the two-dimensional high-speed scanning curve.
Drawings
Various other advantages and benefits will become apparent to those of ordinary skill in the art upon reading the following detailed description of the preferred embodiments. The drawings are only for purposes of illustrating the preferred embodiments and are not to be construed as limiting the invention.
In the drawings:
FIG. 1 is a flow chart of a method for setting a refractive surface of a field lens for converting one-dimensional incidence into a two-dimensional light path according to the present invention;
FIG. 2 is a schematic diagram of a computer device according to an embodiment of the present invention;
FIG. 3 is a schematic diagram of a 8-shaped line of a laser scanning curve according to an embodiment of the present invention;
FIG. 4 is a schematic view showing the shape of the upper surface A and the lower surface B of the refractive surface of the field lens according to the embodiment of the present invention;
FIG. 5 is a schematic view of the light path of a cross section of a field lens a-a according to an embodiment of the present invention;
FIG. 6 is a schematic view of a light path of a field lens b-b cross section according to an embodiment of the present invention;
fig. 7 is a schematic diagram of a process of converting a one-dimensional incident laser into a two-dimensional scanning light path according to an embodiment of the present invention.
Detailed Description
Reference will now be made in detail to exemplary embodiments, examples of which are illustrated in the accompanying drawings. When the following description refers to the accompanying drawings, the same numbers in different drawings refer to the same or similar elements, unless otherwise indicated. The implementations described in the following exemplary examples are not representative of all implementations consistent with the present disclosure. Rather, they are merely examples of apparatus and products consistent with some aspects of the disclosure as detailed in the appended claims.
The terminology used in the present disclosure is for the purpose of describing particular embodiments only and is not intended to be limiting of the disclosure. As used in this disclosure and the appended claims, the singular forms "a," "an," and "the" are intended to include the plural forms as well, unless the context clearly indicates otherwise. It should also be understood that the term "and/or" as used herein refers to and encompasses any or all possible combinations of one or more of the associated listed items.
It should be understood that although the terms first, second, third, etc. may be used in this disclosure to describe various information, these information should not be limited to these terms. These terms are only used to distinguish one type of information from another. For example, first information may also be referred to as second information, and similarly, second information may also be referred to as first information, without departing from the scope of the present disclosure. The word "if" as used herein may be interpreted as "at … …" or "at … …" or "responsive to a determination", depending on the context.
Embodiments of the present invention will be described in further detail below with reference to the accompanying drawings.
The embodiment of the invention provides a field lens refractive surface setting method for converting one-dimensional incidence into a two-dimensional light path, which is shown in fig. 1 and comprises the following steps:
s1, setting a curve scanned by laser as an 8-shaped scanning curve, parameterizing the 8-shaped scanning curve by adopting a rational function, and expressing as follows:
Figure SMS_24
(1)
in the formula (1), a is the x-axis length of the 8-shaped curve, b is the y-axis height of the 8-shaped curve, and phi is the rotation angle of the rotary mirror reflecting surface;
referring to FIG. 3, the figure 8 line (figure-eight curve), also known as Heronol lemniscate (lemniscate of Gerono) or Huygens lemniscate (lemniscate of Huygens), is an algebraic curve with a fourth order, geometric genus (English) of 0, shaped like an 8 or infinite sign lemniscate;
s2, carrying out surface curved surface treatment on the field lens so that a curve scanned by laser is a two-dimensional surface, setting the upper surface of the field lens as cosine wave, and setting the lower surface of the field lens as a slope on the center as cosine wave; the X-axis reciprocating shape of the 8-shaped curve is generated through the field lens refracting surface, a two-dimensional scanning light path swinging back and forth is formed, and the expression is as follows:
Figure SMS_25
Figure SMS_26
Figure SMS_27
(2)
in the formula (2), a is the length of an 8-shaped curve,
Figure SMS_28
for the scanning speed, t is the scanning time, +.>
Figure SMS_29
,LFor the scanning length, n is the number of 8-shaped curves, and T is the period;Ln is the scanning times of the 8-shaped curve in the scanning direction for the scanning length;
for clarity of explanation, the field lens is illustrated with two sections, a-a section and b-b section, referring to fig. 4, to illustrate the direction of travel of light, and a-a section is the section where the lens is centered, referring to fig. 5; the B-B section is a section of a certain light ray after being refracted by the A plane and directed to a certain point of the B plane, and the section of a-a on the B plane is only a straight line because the light ray passes through the center, as shown in fig. 6.
The setting method for carrying out surface curved surface on the field lens comprises the following steps:
the upper surface of the field lens is set to be a curved surface which is up and down fluctuant, and the lower surface of the field lens is set to be a curved surface which is left and right fluctuant, so that a slope is formed on the central line of the refractive surface of the field lens;
the setting method for carrying out surface curved surface on the field lens comprises the following steps:
the single use of the field lens with up-and-down fluctuation or left-and-right fluctuation on the single surface of the two upper surfaces and the lower surface enables the formation of a laser scanning curve;
setting the refractive surface of the field lens as a plane if the curve scanned by the laser is required to be a straight line;
s3, calculating and solving a scanning curve after field lens refraction, and setting the refractive index of the field lens as n, wherein the relation expression of the refractive index, the incident angle and the exit angle is as follows:
Figure SMS_30
Figure SMS_31
Figure SMS_32
Figure SMS_33
Figure SMS_34
;/>
Figure SMS_35
(3)
in the formula (3), n i The refractive index of the ith refraction is shown as θ in FIG. 5 i Represents the angle theta between the incident laser and the vertical line of the upper surface of the mirror 0 The incident angle of refraction is represented by h2, which is the distance between the target surface and the incident laser in the x direction after the laser is refracted, F' is a first derivative of F to x1, F is the fluctuation function of the upper surface of the field lens, x1 is the distance between the side of the lens and the incident laser in the x direction, and θ 2 、θ 3 、θ 4 The refraction angles of the laser incident lens are respectively;
the scanning curve in the x direction is changed into by the field lens:
Figure SMS_36
the scan curve in the y-direction becomes:
Figure SMS_37
(4)
Figure SMS_38
in the formula (4), y is the y-axis height of the 8-shaped curve, θ 5 、θ 6 The incidence angles of the laser on the field lens and the scanned surface are respectively, and the meaning of the h3 parameter is shown in the front;
the method comprises the steps of solving F (x 1) through the formula (3) and the formula (4),
Figure SMS_39
The method for calculating the appearance of the upper surface and the lower surface of the field lens comprises the following steps:
though the formulas (5) and (6) are used, the formulas (5) and (6) are difficult to solve the analysis solution beyond the equation, so that the appearance of the upper surface A surface and the lower surface B surface of the field lens is required to be solved by adopting a numerical method; order the
Figure SMS_40
(5)
Figure SMS_41
Figure SMS_42
(6)
Let equation (5) without affecting the 8-word curve period:
Figure SMS_43
then
Figure SMS_44
And->
Figure SMS_45
A, B are the required height and width of the 8-shaped curve of the laser scanning, and the shapes of the A face and the B face are obtained by solving the following formulas (5) and (6): />
Figure SMS_46
In the formula (5), y is the y-axis height of the 8-shaped curve, θ 5 、θ 6 The incidence angles of the laser light are respectively the field lens and the scanned surface.
Referring to fig. 7, a process of converting a one-dimensional incident laser into a two-dimensional scanning optical path according to the present embodiment is shown.
The embodiment of the invention also provides a field lens refracting surface setting device for converting one-dimensional incidence into a two-dimensional light path, and the field lens refracting surface setting method for converting the one-dimensional incidence into the two-dimensional light path comprises the following steps:
a field lens: the scanning curve is used for refracting incident light through the refraction surface to form back and forth swing;
curved surface characteristics of field lens refractive surface: the surface of the field lens is curved so that a curve scanned by laser is a two-dimensional surface; the upper surface of the field lens is set as cosine wave, and the lower surface of the field lens is set as the slope on the center as cosine wave; the X-axis reciprocating shape of the 8-shaped curve is generated through the field lens refracting surface, and a two-dimensional scanning light path swinging back and forth is formed.
According to the embodiment of the invention, the upper surface and the lower surface of the field lens are respectively provided with the up-and-down curved surface and the left-and-right curved surface to form the slope on the central line of the refractive surface of the field lens, or the field lens with the up-and-down or left-and-right fluctuation on one side of the upper surface and the lower surface is singly used to form a scanning mode of a laser scanning curve, one-dimensional incident light of the rotating lens can be formed into a two-dimensional scanning light path through the field lens, and a two-dimensional high-speed scanning curve is realized.
The embodiment of the invention also provides a computer device, and fig. 2 is a schematic structural diagram of the computer device provided by the embodiment of the invention; referring to fig. 2 of the drawings, the computer apparatus includes: input means 23, output means 24, memory 22 and processor 21; the memory 22 is configured to store one or more programs; when the one or more programs are executed by the one or more processors 21, the one or more processors 21 implement a field lens refractive surface setting method of converting one-dimensional incidence into a two-dimensional optical path as provided in the above-described embodiments; wherein the input device 23, the output device 24, the memory 22 and the processor 21 may be connected by a bus or otherwise, for example in fig. 2 by a bus connection.
The memory 22 is used as a readable storage medium of a computing device, and can be used for storing a software program and a computer executable program, and the program instructions corresponding to the field lens refractive surface setting method for converting one-dimensional incidence into two-dimensional light paths according to the embodiment of the invention; the memory 22 may mainly include a storage program area and a storage data area, wherein the storage program area may store an operating system, at least one application program required for functions; the storage data area may store data created according to the use of the device, etc.; in addition, memory 22 may include high-speed random access memory, and may also include non-volatile memory, such as at least one magnetic disk storage device, flash memory device, or other non-volatile solid-state storage device; in some examples, memory 22 may further comprise memory located remotely from processor 21, which may be connected to the device via a network. Examples of such networks include, but are not limited to, the internet, intranets, local area networks, mobile communication networks, and combinations thereof.
The input means 23 is operable to receive input numeric or character information and to generate key signal inputs relating to user settings and function control of the device; the output device 24 may include a display device such as a display screen.
The processor 21 executes various functional applications of the device and data processing by running software programs, instructions and modules stored in the memory 22, i.e. implements the above-described field lens refractive surface setting method for converting one-dimensional incidence into two-dimensional light paths.
The computer device provided by the above-mentioned embodiment can be used for executing the field lens refractive surface setting method for converting the one-dimensional incidence into the two-dimensional light path, and has corresponding functions and beneficial effects.
The embodiments of the present invention also provide a storage medium containing computer-executable instructions, which when executed by a computer processor, are for performing a field lens refractive surface setting method of converting a one-dimensional incidence into a two-dimensional optical path as provided in the above embodiments, the storage medium being any of various types of memory devices or storage devices, the storage medium comprising: mounting media such as CD-ROM, floppy disk or tape devices; computer system memory or random access memory such as DRAM, DDR RAM, SRAM, EDO RAM, lanbas (Rambus) RAM, etc.; nonvolatile memory such as flash memory, magnetic media (e.g., hard disk or optical storage); registers or other similar types of memory components, etc.; the storage medium may also include other types of memory or combinations thereof; in addition, the storage medium may be located in a first computer system in which the program is executed, or may be located in a second, different computer system, the second computer system being connected to the first computer system through a network (such as the internet); the second computer system may provide program instructions to the first computer for execution. Storage media includes two or more storage media that may reside in different locations (e.g., in different computer systems connected by a network). The storage medium may store program instructions (e.g., embodied as a computer program) executable by one or more processors.
Of course, the storage medium containing the computer executable instructions provided in the embodiments of the present invention is not limited to the field lens refractive surface setting method for converting the one-dimensional incidence into the two-dimensional optical path as described in the above embodiments, and may also perform the related operations in the field lens refractive surface setting method for converting the one-dimensional incidence into the two-dimensional optical path provided in any embodiment of the present invention.
Thus far, the technical solution of the present invention has been described in connection with the preferred embodiments shown in the drawings, but it is easily understood by those skilled in the art that the scope of protection of the present invention is not limited to these specific embodiments. Equivalent modifications and substitutions for related technical features may be made by those skilled in the art without departing from the principles of the present invention, and such modifications and substitutions will be within the scope of the present invention.
The foregoing description is only of the preferred embodiments of the invention and is not intended to limit the invention; various modifications and variations of the present invention will be apparent to those skilled in the art. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention should be included in the protection scope of the present invention.

Claims (8)

1. The field lens refraction surface setting method for converting one-dimensional incidence into two-dimensional light path is characterized by comprising the following steps: the upper surface and the lower surface of the field lens are respectively provided with an up-and-down undulating curved surface and a left-and-right undulating curved surface to form the slope on the central line of the refractive surface of the field lens, or the field lens with up-and-down undulating or left-and-right undulating on one side of the upper surface and the lower surface is singly used, and the one-dimensional incident light of the rotating lens forms a two-dimensional scanning light path through the field lens.
2. The field lens refractive surface setting method for converting one-dimensional incidence into two-dimensional light path according to claim 1, comprising the steps of:
s1, setting a curve scanned by laser as an 8-shaped scanning curve, parameterizing the 8-shaped scanning curve by adopting a rational function, and expressing as follows:
Figure QLYQS_1
(1)
in the formula (1), a is the x-axis length of the 8-shaped curve, b is the y-axis height of the 8-shaped curve, and phi is the rotation angle of the rotary mirror reflecting surface;
s2, carrying out surface curved surface treatment on the field lens so that a curve scanned by laser is a two-dimensional surface, setting the upper surface of the field lens as cosine wave, and setting the lower surface of the field lens as a slope on the center as cosine wave; the X-axis reciprocating shape of the 8-shaped curve is generated through the field lens refracting surface, a two-dimensional scanning light path swinging back and forth is formed, and the expression is as follows:
Figure QLYQS_2
Figure QLYQS_3
Figure QLYQS_4
(2)
in the formula (2), a is the length of an 8-shaped curve,
Figure QLYQS_5
for the scanning speed, t is the scanning time, +.>
Figure QLYQS_6
,LFor the scanning length, n is the number of 8-shaped curves, and T is the period;
s3, calculating and solving a scanning curve after field lens refraction, and setting the refractive index of the field lens as n, wherein the relation expression of the refractive index, the incident angle and the exit angle is as follows:
Figure QLYQS_7
Figure QLYQS_8
Figure QLYQS_9
Figure QLYQS_10
Figure QLYQS_11
Figure QLYQS_12
(3)
in the formula (3), n i The refractive index of the ith refraction is shown as θ in FIG. 5 i Represents the angle theta between the incident laser and the vertical line of the upper surface of the mirror 0 The incident angle of refraction is represented by h2, which is the distance between the target surface and the incident laser in the x direction after the laser is refracted, F' is one of the times of differentiation of F to x1, F is the fluctuation function of the upper surface of the field lens, x1 is the distance between the side of the lens and the incident laser in the x direction, and θ 2 、θ 3 、θ 4 The refraction angles of the laser incident lens are respectively;
the scanning curve in the x direction is changed into by the field lens:
Figure QLYQS_13
;/>
the scan curve in the y-direction becomes:
Figure QLYQS_14
(4)
Figure QLYQS_15
in formula (4), y is the y-axis height of the 8-shaped curve, as shown in FIG. 6. Theta 5 、θ 6 The incidence angles of the laser on the field lens and the scanned surface are respectively, and h3 is the distance between the target surface and the y direction of the incident laser after the laser is refracted;
the method comprises the steps of solving F (x 1) through the formula (3) and the formula (4),
Figure QLYQS_16
3. The field lens refractive surface setting method for converting one-dimensional incidence into two-dimensional light path according to claim 2, wherein the method for calculating the shape of the upper surface and the lower surface of the field lens comprises:
the appearance of the upper surface A surface and the lower surface B surface of the field lens is solved by adopting a numerical method according to the formula (5) and the formula (6); order the
Figure QLYQS_17
(5)
Figure QLYQS_18
Figure QLYQS_19
(6)
In the case of not affecting the 8-word curve period, let:
Figure QLYQS_20
then
Figure QLYQS_21
And->
Figure QLYQS_22
A, B are the required height and width of the 8-shaped curve of the laser scanning, and the shapes of the A face and the B face are obtained by solving the following formulas (5) and (6): />
Figure QLYQS_23
In the formula (5), y is the y-axis height of the 8-shaped curve, θ 5 、θ 6 The incidence angles of the laser light are respectively the field lens and the scanned surface.
4. The method for setting a refractive surface of a field lens for converting a one-dimensional incident light into a two-dimensional light path according to claim 2, wherein the method for setting a surface of the field lens in step S2 comprises:
the use of a single surface of the two upper and lower surfaces with up-and-down or left-and-right relief field lens allows the formation of a laser scan curve.
5. The method for setting a refractive surface of a field lens for converting a one-dimensional incident light into a two-dimensional light path according to claim 2, wherein the refractive surface of the field lens is set to be a plane if the curve scanned by the laser in step S2 is required to be a straight line.
6. A field lens refractive surface setting device for converting one-dimensional incidence into two-dimensional light path, characterized in that a field lens refractive surface setting method for converting one-dimensional incidence into two-dimensional light path according to any one of claims 1 to 5 is applied, comprising:
a field lens: the scanning curve is used for refracting incident light through the refraction surface to form back and forth swing;
curved surface characteristics of field lens refractive surface: the surface of the field lens is curved so that a curve scanned by laser is a two-dimensional surface; the upper surface of the field lens is set as cosine wave, and the lower surface of the field lens is set as the slope on the center as cosine wave; the X-axis reciprocating shape of the 8-shaped curve is generated through the field lens refracting surface, and a two-dimensional scanning light path swinging back and forth is formed.
7. A computer-readable storage medium, on which a computer program is stored, characterized in that the program, when being executed by a processor, implements the steps of the field lens refractive surface setting method for converting a one-dimensional incidence into a two-dimensional optical path as claimed in any one of claims 1 to 5.
8. A computer device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, characterized in that the processor implements the steps of the field lens refractive surface setting method for converting a one-dimensional incidence into a two-dimensional light path according to any of claims 1-5 when the program is executed.
CN202310300947.3A 2023-03-27 2023-03-27 Method and device for setting field lens refraction surface for converting one-dimensional incidence into two-dimensional light path Pending CN116088164A (en)

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CN112099024A (en) * 2020-09-16 2020-12-18 森思泰克河北科技有限公司 Single-axis rotating two-dimensional scanning system and multi-line laser radar
CN113238373A (en) * 2021-07-12 2021-08-10 沂普光电(天津)有限公司 Laser scanning unit and laser printer

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Publication number Priority date Publication date Assignee Title
CN1882866A (en) * 2003-12-10 2006-12-20 松下电器产业株式会社 Display unit and scanning method therefor
CN102207618A (en) * 2010-03-31 2011-10-05 兄弟工业株式会社 Scanning optical apparatus
CN103597399A (en) * 2011-06-22 2014-02-19 日立麦克赛尔株式会社 Image display device
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