CN108628002B - Double-sided zoom lens combination device and combination method with mirror image design - Google Patents
Double-sided zoom lens combination device and combination method with mirror image design Download PDFInfo
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Abstract
The invention discloses a double-sided zoom lens combination device and a double-sided zoom lens combination method with mirror image design. The combination method combines two groups of double-sided zoom lenses and drives the two groups of double-sided zoom lenses through a motor.
Description
Technical Field
The invention belongs to the technical field of optical lenses, and particularly relates to a double-sided zoom lens combination device and a double-sided zoom lens combination method with mirror image design.
Background
Chinese patent 201710727180.7, "equidistant variable focus lens direct line single sheet for use in a vision correction dual lens group", designs a progressive focus lens having a plurality of focus areas on one lens, each of which has a focus value that varies to be sequentially arranged. The lens design can generate diopter jump phenomenon in the transition region of the corrugation and the corrugation, so that diopter discontinuous change is caused, and the effect of vision training is affected. The lens diopter value range N of the adjacent strip-shaped curved surfaces is a certain value between 10 degrees and 100 degrees, and the specific value of the value is not described in detail. When the refractive power tolerance of the human eye is extremely poor, more than 50 degrees, visual dizziness and the like may occur. This lens design does not truly achieve continuous dynamic zoom. Therefore, the technical scheme cannot realize the effect of visual training.
Chinese patent 201520246792.0, "an arbitrary zoom lens set," provides a: one surface of each lens is a horizontal plane, and the other surface of each lens is a non-horizontal curved surface which accords with the mathematical variation rule; the non-horizontal curved surface of the lens is provided with a highest point and a lowest point; a plurality of continuously-changed optical centers are uniformly distributed between the highest point and the lowest point of the non-horizontal curved surface of the lens along the non-horizontal curved surface of the lens; the diopter numbers of the optical centers are sequentially decreased or increased. The zoom range of the zoom lens group is +3.00D to-8.00D. The negative lens training interval for middle-high myopia people is limited, and the function of the whole visual function training cannot be achieved.
Along with the development of society and the progress of science and technology, a large number of teenagers and children form the problems of myopia, hyperopia, astigmatism, amblyopia and other ametropia under the influence of electronic products and academic task aggravation, so that a large number of vision health care products are generated. Meanwhile, as the population age structure of the country changes, the proportion of middle-aged and elderly people is gradually enlarged, and the presbyopia phenomenon brings great visual inconvenience to the vast middle-aged and elderly people. Most vision rehabilitation institutions or vision care products on the market need the teenagers and children to go to professional institutions for long-term vision training service, consume a great deal of teenager learning and life time, and bring great inconvenience to the daily life of the teenagers and children.
Presbyopic glasses and common progressive multifocal lenses also face more limitations in solving the presbyopic problem, such as inconvenient carrying, small zoom amount and the like. The variable-focus lens has small variable-focus amount, very narrow variable-focus optical area (namely a variable-focus visual area), larger distortion of peripheral aberration area and insufficient wearing comfort.
Disclosure of Invention
The invention provides a double-sided zoom lens combination device with mirror image design, which comprises a group of double-sided zoom lenses, wherein the group of double-sided zoom lenses comprises two double-sided zoom lenses, and each double-sided zoom lens comprises two symmetrical zoom curved surfaces with mirror image design;
the two double-sided zoom lenses are respectively denoted as a first lens and a second lens.
The invention may also include another set of double-sided zoom lenses, denoted as third and fourth lenses, respectively.
The zoom curved surface is a free-form curved surface, and the free-form curved surface comprises two optical vertexes, namely a highest point and a lowest point of the free-form curved surface. The highest point to the lowest point are changed in a wave mode designed by a specific mathematical model. The free curved surface has a highest point and a lowest point in the horizontal direction (X axis) relative to the cross section of the lens, and the wave-shaped height fluctuation change rule is shown between the highest point and the lowest point. The vertical direction (Y axis) of the free-form surface comprises a peak structure and a valley structure, wherein the peak highest point is the highest point of the free-form surface, and the valley lowest point is the lowest point of the free-form surface. And the peaks and valleys are symmetrical about the X-axis. .
The surface structures of the two symmetrical mirror image design zoom curved surfaces included in each double-sided zoom lens are the same, the highest point of one free curved surface and the highest point of the other free curved surface are symmetrical relative to the cross section, and the lowest point of one free curved surface and the lowest point of the other free curved surface are symmetrical relative to the cross section.
The highest point of the zooming curved surface of the first lens is placed in the same direction as the lowest point of the zooming curved surface of the second lens, and the lowest point of the zooming curved surface of the first lens is placed in the same direction as the highest point of the zooming curved surface of the second lens; the highest point of the zooming curved surface of the third lens is placed in the same direction as the lowest point of the zooming curved surface of the fourth lens, and the lowest point of the zooming curved surface of the third lens is placed in the same direction as the highest point of the zooming curved surface of the fourth lens. The lowest point of the zooming curved surface of the third lens and the highest point of the zooming curved surface of the fourth lens are placed in the same direction; the first lens and the fourth lens are centrally symmetrical about the midpoint of the middle plane. The second lens and the third lens are centrally symmetrical about the midpoint of the middle plane.
The double-sided zoom lens formed by the two symmetrical mirror-image designed zoom curved surfaces comprises a P point, a C area, an N point and an A area, wherein the P point is an optical center point corresponding to the maximum positive degree, namely the position corresponding to the highest point of the free curved surface. The N point is the optical center point corresponding to the maximum negative degree, namely the position corresponding to the lowest point of the free curved surface. The C area is a continuous zooming channel, and a transition area from the maximum positive degree of the P point to the maximum negative degree of the N point is a transition area of a connecting line between the highest point and the lowest point. Zone a is the peripheral aberration region, i.e., the lens highest point, lowest point, and the region outside the transition region between the highest and lowest points.
The diopter change rate delta of the C region is calculated as follows:
δ＝2*(D P -D N )/L，
wherein D is P Diopter representing the highest point, D N Representing the lowest diopter. L represents the distance from the highest point to the lowest point.
The ratio of the thickness of the highest point of the free-form surface to the thickness of the lowest point of the free-form surface to the distance between the highest point and the lowest point of the free-form surface is in the range of 10:0.5:50-20:1.8:120;
the highest point diopter range of the free-form surface is +5.00D to +10.00D, and the lowest point diopter range of the free-form surface is-10.00D to-20.00D.
The diopter range of the double-sided zoom lens formed by the two symmetrical mirror-image designed zoom curved surfaces is +20.00D to-40.00D linear zooming.
The invention discloses a double-sided zoom lens combination method with mirror image design, which comprises the following steps: combining two groups of double-sided zoom lenses and driving the double-sided zoom lenses through a motor, wherein each group of double-sided zoom lenses comprises two double-sided zoom lenses, one group of double-sided zoom lenses is respectively marked as a first lens and a second lens, and the other group of double-sided zoom lenses is respectively marked as a third lens and a fourth lens;
the highest point of the zooming curved surface of the first lens is placed in the same direction as the lowest point of the zooming curved surface of the second lens, and the lowest point of the zooming curved surface of the first lens is placed in the same direction as the highest point of the zooming curved surface of the second lens; the highest point of the zooming curved surface of the third lens is placed in the same direction as the lowest point of the zooming curved surface of the fourth lens, and the lowest point of the zooming curved surface of the third lens is placed in the same direction as the highest point of the zooming curved surface of the fourth lens; the first lens and the fourth lens are centrally symmetrical about the midpoint of the middle surface; the second lens and the third lens are centrally symmetrical about the midpoint of the middle surface; the motor controls the first lens and the second lens to move at the same speed in one direction, and the motor controls the third lens and the fourth lens to move at the same speed in the other direction;
when the lenses move in a staggered way to reach the maximum range, the highest point of the zooming curved surface of the first lens coincides with the highest point of the zooming curved surface of the second lens, the highest point of the zooming curved surface of the third lens coincides with the highest point of the zooming curved surface of the fourth lens, and the equivalent diopter is +32.00D;
when the staggered movement of the lenses reaches the maximum range in the other direction, the lowest point of the zooming curved surface of the first lens is overlapped with the lowest point of the zooming curved surface of the second lens, the lowest point of the zooming curved surface of the third lens is overlapped with the lowest point of the zooming curved surface of the fourth lens, and the equivalent diopter is-52.00D, so that the diopter of continuous change of { +32.00D to-52.00D } is realized; in the process of the staggered movement of the two groups of double-sided zoom lenses, the actual zoom ratio is controlled by controlling the running step length of the motor.
The beneficial effects are that: the invention realizes large-scale continuous zooming by reversing the traditional lens processing design thought and carrying out double-sided mirror image free-form surface zooming design, and breaks through the technical defects of image jump phenomenon, insufficient zooming range and the like in the prior art. The free zooming caused by the staggered movement of the free-form surface lens can regularly carry out scientific and effective visual training on various non-pathological, non-organic ametropia people and amblyopia people with certain refractive properties. Thereby achieving the aims of improving the visual function, improving the visual ability, relieving the eye fatigue and the like.
The method is different from the common zoom lens, and the double-sided zoom lens can realize linear zooming of a single lens with a zooming range of { +16.00D to-26.00D }. The lens group can realize linear zooming with a zooming range of { +32.00D to-52.00D } and provides an effective solution for the group vision function training of low-vision ordinary people.
Drawings
The foregoing and other advantages of the invention will become more apparent from the following detailed description of the invention when taken in conjunction with the accompanying drawings and detailed description.
Fig. 1a is a front view of a lens of the present invention.
FIG. 1b is a top view of the lens of the present invention.
Fig. 2a is a schematic view of the front parameters of the lens in the embodiment.
Fig. 2b is a schematic cross-sectional view of an embodiment.
FIG. 3a is a schematic diagram of the assembly of the present invention fully overlapped.
FIG. 3b is a schematic view of the combination device of the present invention.
FIG. 3c is a schematic view of the high point coincidence of the combination device of the present invention.
Fig. 4 is a side view of the combination of the present invention.
Detailed Description
The invention will be further described with reference to the accompanying drawings and examples.
The invention provides a double-sided zoom lens combination device with mirror image design, which comprises a group of double-sided zoom lenses, wherein the group of double-sided zoom lenses comprises two double-sided zoom lenses, each double-sided zoom lens comprises two symmetrical zooming curved surfaces with mirror image design, as shown as 1 and 2 in fig. 1b, namely two symmetrical zooming curved surfaces with mirror image design.
As shown in fig. 3a, the present invention comprises two double-sided zoom lenses, denoted as first lens 4 and second lens 6, respectively.
As shown in fig. 3a, the present invention further comprises another set of double-sided zoom lenses, denoted as third lens 5 and fourth lens 7, respectively.
As shown in fig. 2b, the zoom curved surface is a free-form curved surface, and the free-form curved surface includes two optical vertices, which are respectively the highest point and the lowest point of the free-form curved surface. The highest point to the lowest point are changed in a wave mode designed by a specific mathematical model. The free-form surface has a highest point and a lowest point in the horizontal direction (X-axis) relative to the cross section 3 of the lens, and a wavy fluctuation rule is shown between the highest point and the lowest point. The vertical direction (Y axis) of the free-form surface comprises a peak structure and a valley structure, wherein the peak highest point is the highest point of the free-form surface, and the valley lowest point is the lowest point of the free-form surface. And the peaks and valleys are symmetrical about the X-axis.
The two symmetrical mirror image design zoom curved surfaces included in each double-sided zoom lens have the same surface structure, and the highest point of one free curved surface and the highest point of the other free curved surface are symmetrical relative to the section 3, and the lowest point of one free curved surface and the lowest point of the other free curved surface are symmetrical relative to the section 3.
The highest point of the zooming curved surface of the first lens 4 is placed in the same direction as the lowest point of the zooming curved surface of the second lens 6, and the lowest point of the zooming curved surface of the first lens 4 is placed in the same direction as the highest point of the zooming curved surface of the second lens 6; the highest point of the zooming curved surface of the third lens 5 is placed in the same direction as the lowest point of the zooming curved surface of the fourth lens 7, and the lowest point of the zooming curved surface of the third lens 5 is placed in the same direction as the highest point of the zooming curved surface of the fourth lens 7; the first lens 4 and the fourth lens 7 are centered with respect to the midpoint of the intermediate surface 8. The second lens 6 and the third lens 5 are centered about the midpoint of the intermediate surface 8.
As shown in fig. 1a, the double-sided zoom lens formed by the two symmetrical mirror-image design zoom curved surfaces includes a P point, a C region, an N point and an a region, wherein the P point is an optical center point corresponding to the maximum positive power, i.e. a position corresponding to the highest point of the free curved surface. The N point is the optical center point corresponding to the maximum negative degree, namely the position corresponding to the lowest point of the free curved surface. The C area is a continuous zooming channel, and a transition area from the maximum positive degree of the P point to the maximum negative degree of the N point is a transition area of a connecting line between the highest point and the lowest point. Zone a is the peripheral aberration region, i.e., the lens highest point, lowest point, and the region outside the transition region between the highest and lowest points.
The diopter change rate delta of the continuous zooming C area is calculated as follows:
δ＝2*(D P -D N )/L，
wherein D is P Diopter representing the highest point, D N Representing the lowest diopter. L represents the distance from the highest point to the lowest point.
The ratio of the thickness of the highest point of the free-form surface to the thickness of the lowest point of the free-form surface to the distance between the highest point and the lowest point of the free-form surface is in the range of 10:0.5:50-20:1.8:120.
The highest point diopter range of the free-form surface is +5.00D to +10.00D, and the lowest point diopter range of the free-form surface is-10.00D to-20.00D.
The diopter range of the double-sided zoom lens formed by the two symmetrical mirror-image designed zoom curved surfaces is +20.00D to-40.00D linear zooming.
The invention also discloses a double-sided zoom lens combination method with mirror image design, which comprises the following steps: combining two groups of double-sided zoom lenses and driving the double-sided zoom lenses through a motor, wherein each group of double-sided zoom lenses comprises two double-sided zoom lenses, one group of double-sided zoom lenses is respectively marked as a first lens 4 and a second lens 6, and the other group of double-sided zoom lenses is respectively marked as a third lens 5 and a fourth lens 7;
the highest point of the zooming curved surface of the first lens 4 is placed in the same direction as the lowest point of the zooming curved surface of the second lens 6, and the lowest point of the zooming curved surface of the first lens 4 is placed in the same direction as the highest point of the zooming curved surface of the second lens 6; the highest point of the zooming curved surface of the third lens 5 is placed in the same direction as the lowest point of the zooming curved surface of the fourth lens 7, and the lowest point of the zooming curved surface of the third lens 5 is placed in the same direction as the highest point of the zooming curved surface of the fourth lens 7; the first lens 4 and the fourth lens 7 are centered with respect to the midpoint of the intermediate surface 8. The second lens 6 and the third lens 5 are centered about the midpoint of the intermediate surface 8.
When the two groups of double-sided zoom lenses move in parallel through the motor and the staggered movement of the lenses reaches the maximum range, the highest point of the zoom curved surface of the first lens 4 coincides with the highest point of the zoom curved surface of the second lens 6, the highest point of the zoom curved surface of the third lens 5 coincides with the highest point of the zoom curved surface of the fourth lens 7, and the equivalent diopter is +32.00D;
when the staggered movement of the lenses reaches the maximum range in the other direction, the lowest point of the zooming curved surface of the first lens 4 is overlapped with the lowest point of the zooming curved surface of the second lens 6, the lowest point of the zooming curved surface of the third lens 5 is overlapped with the lowest point of the zooming curved surface of the fourth lens 7, and the equivalent diopter is-52.00D, so that the diopter of continuous change of { +32.00D to-52.00D } is realized;
as shown in fig. 3a, 3b, 3c and 4, the actual zoom ratio is controlled by controlling the running step of the motor 9 during the interlacing motion of the two sets of double-sided zoom lenses. The free curved surface is a complex curved surface having no rotational symmetry axis in the X-axis direction and has an axisymmetric relationship in the Y-axis direction. The complex curved surface is essentially a specially designed progressive addition lens. The traditional progressive multi-focal lens is longitudinally placed in front of a human eye surface, a far vision zone, a middle transition zone and a near vision zone are designed, the diopter difference between the far vision zone and the near vision zone is called ADD, the diopter of the far vision zone reaching the near vision zone through the middle transition zone is continuously changed, the phenomenon of image jump is avoided, aberration zones are arranged on two sides of the transition zone, the peripheral zone is also called, and the human eye can not view objects in the peripheral zone.
The double free-form surface zoom lens is transversely placed in front of the human eye surface, and a far vision zone, a middle transition zone and a near vision zone are not designed. But a continuous zoom channel is transversely designed at the maximum position of positive diopter, the maximum position of negative diopter and the middle of the maximum position of positive and negative diopter, and the length of the channel reaches more than 50 mm. Meanwhile, the free curved surface breaks the limitation of the traditional progressive multi-focus single-sided design, and realizes double-sided symmetrical zooming, so that the diopter change range is greatly increased, large-range continuous zooming is realized, and no image jump phenomenon is generated.
The degree of vergence of a lens to light is called optical power, the unit is Diopter (D), definition of lens top power: one lens has two top powers, a front top power and a back top power. Wherein the back vertex power refers to the reciprocal of the paraxial back vertex focal length measured in meters, i.e. [ phi ] v ＝1/I f Wherein phi is v Represents the back power of the lens, unit m -1 . And the sign D, wherein the power of the rear vertex of the positive lens is positive, and the power of the rear vertex of the negative lens is negative.
For free-form lenses, the back power cannot be the only indicator of the lens diopter parameter and the surface power profile should also be analyzed. The method comprises the following steps:
the double-sided free-form surface zoom lens of the present invention designs the lens as a P-point (Positive point), a C-zone (continuous zoom channel, continuous zooming), an N-point (Negative point), and a-zone (peripheral aberration region, aberration Astigmation). See in detail fig. 1a and 1b.
The invention is characterized in thatThe diopter change rate formula of the C area of the double-sided free-form surface zoom lens is as follows: δ=2 x (D P -D N ) and/L, the unit is D/mm, representing the diopter change degree of the continuous zoom zone of the double-sided free-form surface zoom lens. The detailed zoom data is shown in table 1.
TABLE 1
The maximum difference between the double-sided free-form surface zoom lens and the common spherical lens and the aspherical lens is that the lens has innumerable diopters, and the diopters are continuously changed. The wearer cannot feel the jump phenomenon, and the diopter smooth transition can be realized. The sphere diopter calculation mode is as follows: when a light beam enters one medium from another medium through a single spherical interface, the vergence of the light rays between different mediums will change, assuming that the light beam has a refractive index n 1 Through a sphere of curvature K (equal to the inverse of the radius of curvature, i.e. 1/r), into a medium of refractive index n 2 The diopter of this sphere is:
in the case of the two-sided free-form-surface zoom lens of the present invention, the diopter is determined by the front and back surface configurations, and the design of the lens is mainly the design of the surface configuration, and the continuous change of diopter is the result of the continuous change of the local surface curvature radius. According to a calculation formula of the diopter of the spherical lens, the diopter of any point on the surface of the C region of the double-sided free-form surface zoom lens is calculated as follows:
in the above formula, K Front part Is the curvature of the front surface at this point of the free-form surface (the specific value is the inverse of the radius of curvature), K Rear part (S) Is the back surface curvature (inverse of the radius of curvature) at that point, n is the refractive index of the lens medium, and d is the thickness of the lens at that point. It is generally believed that when the lens thickness is less than one centimeter, the lens is a thin lens and the diopter change due to the lens thickness is negligible. As can be seen from the above formula, the lens point diopter is only related to the radius of curvature of the front and back surfaces and the refractive index of the lens itself;
the point diopter of the double-sided free-form surface zoom lens can be simplified as follows:
the limit calculation of d approaching zero is adopted to obtain:
D thin ＝(n-1)(K front part -K Rear part (S) )……………………………………………………………(004)
Meanwhile, the double-sided free-form surface zoom lens adopts double-sided mirror symmetry design, and the curvature radiuses are equal in size and opposite in direction. The diopter value of this point is:
D thin ＝2(n-1)K………………………………………………………………(005)
the mathematical function for the free-form surface is designed as follows:
assuming a ray of light, when passing through a certain point on the double-sided free-form surface lens, because the plane is non-planar, countless normal planes can appear, and the normal planes can overlap countless intersecting curves after intersecting with the free-form surface. Of these intersecting curves, two are the most specific: the radius of curvature of a intersecting line is the largest, and the curvature is recorded as K 1 The other intersection line has the smallest radius of curvature, and the curvature is marked as K 2 . At the same time, the two intersecting curves are perpendicular to each other.
The method comprises the following steps of obtaining according to a Gaussian curvature calculation formula and an average curvature calculation formula:
the matrix determinant is defined by a gaussian curvature K and an average curvature H:
through the diopter distribution of each point of the double-sided free-form surface lens, mathematical model fitting can be performed on the surface of the whole surface lens. The diopter of the surface of the lens continuously changes, and the lens is suitable for B spline function fitting and radial basis function fitting. Since the B-spline fitted curve is infinitely differentiable inside all nodes. The single surface of the double-surface free-form surface zoom lens is fitted by adopting an internal B spline function, and the B spline curve describes the double-free-form surface zoom lens as follows:
N i, (u)，N i, (v) Fitting a base function in the x and y directions in a mathematical model to a B spline surface, d i, Is the control vertex of the free-form surface.
And (3) fitting the mathematical model by the B spline surface, and simulating a free-form surface model with set diopter change by a computer. And (5) performing sample making and die building through a die, and performing pouring numerical control cutting after die production. Preparing the double-sided free-form surface continuous zoom lens. The single-sided zoom amount can achieve continuous zooming of { +8.00D to-13.00D }, the double-sided zoom amount is { +16.00D to-26.00D }, and the lens pattern diagram is shown in figures 2a, 2b, 3a, 3b and 3c; the lens inspection data are shown in table 1.
The length of the lens is 56mm, and the height of the lens is 25mm. The thickness of the highest point of the single lens is 6.5mm, the thickness of the lowest point of the single lens is 0.5mm, and the distance between the highest point and the lowest point is 43mm. Core ratio of the zoom lens of the invention: peak thickness: minimum thickness: highest to lowest distance = 13:1:108.
The detailed physical parameters are shown in fig. 2a, 2b, 3a, 3b, 3c and 4.
In fig. 2a, the lens length is 56mm, the height is 25mm, the highest point and the lowest point are both positioned on the horizontal middle line of the lens, the highest point is 6.5mm from the horizontal edge of the lens, the lowest point is 6.5mm from the horizontal edge of the lens, the highest point and the lowest point are 12.5mm from the upper edge and the lower edge of the lens, the highest point diopter is +16.00D, and the lowest point diopter is-26.00D.
In said fig. 2b, the lens has a peak thickness of 6.5mm and a peak thickness of 0.5mm, and the lens edge thickness is 4.0mm and 1.0mm, respectively.
In fig. 3a, the top view of the lens is completely overlapped, two groups of lenses are overlapped and combined in a staggered manner and driven by a motor, each group of double-sided zoom lenses comprises two double-sided zoom lenses, one group of double-sided zoom lenses is respectively marked as a first lens 4 and a second lens 6, and the other group of double-sided zoom lenses is respectively marked as a third lens 5 and a fourth lens 7; the highest point of the zooming curved surface of the first lens 4 is placed in the same direction as the lowest point of the zooming curved surface of the second lens 6, and the lowest point of the zooming curved surface of the first lens 4 is placed in the same direction as the highest point of the zooming curved surface of the second lens 6; the highest point of the zooming curved surface of the third lens 5 is placed in the same direction as the lowest point of the zooming curved surface of the fourth lens 7, and the lowest point of the zooming curved surface of the third lens 5 is placed in the same direction as the highest point of the zooming curved surface of the fourth lens 7; the first lens 4 and the fourth lens 7 are centered with respect to the midpoint of the intermediate surface 8. The second lens 6 and the third lens 5 are centered about the midpoint of the intermediate surface 8. The motor 1 controls the first lens 4 and the second lens 6 to move simultaneously at the same speed in one direction. The motor 2 controls the third lens 5 and the fourth lens 7 to move simultaneously at the same speed in the other direction.
In fig. 3b, the top plan view right above coincides with the low point. The motor controls the first lens 4 and the second lens 6 to move in the same direction and at the same speed. The motor controls the first lens 6 and the second lens 7 to move at the same speed in opposite directions.
In fig. 3c, the top plan view top points are overlapped. The motor controls the first lens 4 and the second lens 6 to move in the same direction and at the same speed. The motor controls the first lens 6 and the second lens 7 to move at the same speed in opposite directions.
In fig. 4, two sets of lenses are stacked and combined in a staggered manner in an oblique front plan view. The motor controls the first lens 4 and the second lens 6 to move in the same direction and at the same speed. The motor controls the first lens 6 and the second lens 7 to move at the same speed in opposite directions.
The invention detects 14 lenses one by one diopter from the highest point to the lowest point, detects every 1mm, and detects 43 diopters in total. The difference in diopter change at each point of the 14 groups of lenses is controlled within the range of 0.1D. The highest point diopter was point 1 and diopter was +16.00d. The minimum point diopter was 43 points and diopter was-26.00D. The distance from the highest point to the lowest point was 43mm, and the diopter change rate was-1.00D/mm.
The mirror image designed double-sided zoom lens group is overlapped in a staggered mode, left and right parallel movement is achieved, when the staggered movement of the lenses reaches the maximum range, the highest point of one group of lenses is overlapped with the highest point of the other group of lenses, the equivalent diopter is +32.00D, the lowest point of one group of lenses is overlapped with the lowest point of the other group of lenses, and the equivalent diopter is-52.00D. The diopter of { +32.00D to-52.00D } continuous change is realized. In the whole lens interlacing motion process, the actual zoom rate is controlled by controlling the running step length of the motor.
The mirror image design double-sided zoom lens of the invention continuously zooms within the central 2mm range, astigmatism is controlled within 0.50D, and the large-range zoom is suitable for vision training of most people with ametropia, including myopia, hyperopia, astigmatism, presbyopia, amblyopia with refractive properties and most people with asthenopia. Through near point training and far point training, the regulating ability of eyeballs and the visual function of cerebral cortex are gradually improved.
Examples
The embodiment provides a double-sided zoom lens combination device with mirror image design, which comprises two groups of double-sided zoom lenses, wherein each group of double-sided zoom lenses comprises two double-sided zoom lenses, and each double-sided zoom lens comprises two symmetrical zoom curved surfaces with mirror image design;
of the two sets of double-sided zoom lenses, one set of double-sided zoom lenses is denoted as a first lens 4 and a second lens 6, respectively, and the other set of double-sided zoom lenses is denoted as a third lens 5 and a fourth lens 7, respectively.
As shown in fig. 1a and 1b, the zoom curved surface is a free-form curved surface, and the free-form curved surface includes a highest point and a lowest point. The highest point to the lowest point are changed in a wave mode designed by a specific mathematical model.
The two symmetrical mirror image design zoom curved surfaces included in each double-sided zoom lens have the same surface structure, and the highest point of one free curved surface and the highest point of the other free curved surface are symmetrical relative to the section 3, and the lowest point of one free curved surface and the lowest point of the other free curved surface are symmetrical relative to the section 3.
The highest point of the zooming curved surface of the first lens 4 is placed in the same direction as the lowest point of the zooming curved surface of the second lens 6, and the lowest point of the zooming curved surface of the first lens 4 is placed in the same direction as the highest point of the zooming curved surface of the second lens 6; the highest point of the zooming curved surface of the third lens 5 is placed in the same direction as the lowest point of the zooming curved surface of the fourth lens 7, and the lowest point of the zooming curved surface of the third lens 5 is placed in the same direction as the highest point of the zooming curved surface of the fourth lens 7; the first lens 4 and the fourth lens 7 are centered with respect to the midpoint of the intermediate surface 8. The second lens 6 and the third lens 5 are centered about the midpoint of the intermediate surface 8.
The double-sided zoom lens formed by the two symmetrical mirror-image designed zoom curved surfaces comprises a P point, a C area, an N point and an A area, wherein the P point is an optical center point corresponding to the maximum positive degree, namely the position corresponding to the highest point of the free curved surface. The N point is the optical center point corresponding to the maximum negative degree, namely the position corresponding to the lowest point of the free curved surface. The C area is a continuous zooming channel, and the transition area from the maximum positive degree of the P point to the maximum negative degree of the N point is the transition area of the connecting line between the highest point and the lowest point. Zone a is the peripheral aberration region, i.e., the lens highest point, lowest point, and the region outside the transition region between the highest and lowest points.
The diopter change rate delta (unit is D/mm) of the region C is calculated as follows:
δ＝2*(D P -D N ) and/L. Wherein D is P Diopter representing the highest point, D N Representing the lowest diopter. L represents the distance from the highest point to the lowest point.
The ratio of the thickness of the highest point of the free curved surface to the thickness of the lowest point of the free curved surface to the distance between the highest point and the lowest point of the free curved surface is 13:1:108.
The highest point diopter of the free-form surface is +8.00D, and the lowest point diopter of the free-form surface is-13.00D.
The diopter range of the double-sided zoom lens formed by the two symmetrical mirror-image designed zoom curved surfaces is
+16.00D-26.00D linear zooming.
The present embodiment also provides a method for combining two sets of double-sided zoom lenses in mirror image design, as shown in fig. 3a and 3b, wherein each set of double-sided zoom lenses includes two double-sided zoom lenses, one set of double-sided zoom lenses is respectively marked as a first lens 4 and a second lens 6, and the other set of double-sided zoom lenses is respectively marked as a third lens 5 and a fourth lens 7;
the highest point of the zooming curved surface of the first lens 4 and the lowest point of the zooming curved surface of the second lens 6 are symmetrical relative to the middle surface 8, and the lowest point of the zooming curved surface of the first lens 4 and the highest point of the zooming curved surface of the second lens 6 are symmetrical relative to the middle surface 8; the highest point of the zooming curved surface of the third lens 5 and the lowest point of the zooming curved surface of the fourth lens 7 are symmetrical relative to the middle surface 8, and the lowest point of the zooming curved surface of the third lens 5 and the highest point of the zooming curved surface of the fourth lens 7 are symmetrical relative to the middle surface 8;
when the two groups of double-sided zoom lenses move in parallel through the motor and the staggered movement of the lenses reaches the maximum range, the highest point of the zoom curved surface of the first lens 4 coincides with the highest point of the zoom curved surface of the second lens 6, the highest point of the zoom curved surface of the third lens 5 coincides with the highest point of the zoom curved surface of the fourth lens 7, and the equivalent diopter is +32.00D;
when the staggered movement of the lenses reaches the maximum range in the other direction, the lowest point of the zooming curved surface of the first lens 4 is overlapped with the lowest point of the zooming curved surface of the second lens 6, the lowest point of the zooming curved surface of the third lens 5 is overlapped with the lowest point of the zooming curved surface of the fourth lens 7, and the equivalent diopter is-52.00D, so that the diopter of continuous change of { +32.00D to-52.00D } is realized;
in the process of the staggered movement of the two groups of double-sided zoom lenses, the actual zoom ratio is controlled by controlling the running step length of the motor.
The double-sided free-form surface zoom lens of the present invention designs the lens as a P-point (Positive point), a C-zone (continuous zoom channel, continuous zooming), an N-point (Negative point), and a-zone (peripheral aberration region, aberration astigmation). See fig. 1a and 1b.
Through the diopter distribution of each point of the double-sided free-form surface lens, mathematical model fitting can be performed on the surface of the whole surface lens. The diopter of the surface of the lens continuously changes, and the lens is suitable for B spline function fitting and radial basis function fitting. Since the B-spline fitted curve is infinitely differentiable inside all nodes. The single surface of the double-surface free-form surface zoom lens is fitted by adopting an internal B spline function, and the B spline curve describes the double-free-form surface zoom lens as follows:
N i, (u)，N i, (v) Fitting a base function in the x and y directions in a mathematical model to a B spline surface, d i, Is the control vertex of the free-form surface.
And (3) fitting the mathematical model by the B spline surface, and simulating a free-form surface model with set diopter change by a computer. And (5) performing sample making and die building through a die, and performing pouring numerical control cutting after die production. A double-sided free-form surface continuous zoom lens. The single-sided zoom amount can realize continuous zooming of { +8.00D to-13.00D, and the double-sided zoom amount is { +16.00D to-26.00D }.
The length of the lens is 56mm, and the height of the lens is 25mm. The thickness of the highest point of the single lens is 6.5mm, the thickness of the lowest point of the single lens is 0.5mm, and the distance between the highest point and the lowest point is 43mm. Core ratio of the zoom lens of the invention: peak thickness: minimum thickness: highest to lowest distance = 13:1:108.
The two-sided freeform lenses of this embodiment are staggered in lens sets, with one lens placed in a { +16.00D to-26.00D } orientation (i.e., positive power on the left and negative power on the right) and the other lens placed in a { +26.00D to +16.00D } orientation (i.e., negative power on the left and positive power on the right). When the staggered movement of the lenses reaches the maximum range, the highest point of one group of lenses coincides with the highest point of the other group of lenses, the equivalent diopter is +32.00D, the lowest point of one group of lenses coincides with the lowest point of the other group of lenses, and the equivalent diopter is-52.00D. The diopter of { +32.00D to-52.00D } continuous change is realized. In the whole lens interlacing motion process, the actual zoom rate is controlled by controlling the running step length of the motor.
The invention realizes large-scale continuous zooming by reversing the traditional lens processing design thought and carrying out double-sided mirror image free-form surface zooming design, and breaks through the technical defects of image jump phenomenon, insufficient zooming range and the like in the prior art. Meanwhile, the function simulation of the computer simulation software can be used for quickly and simply obtaining the free-form surface zoom lens with the required zoom interval and vertex height. The wide-range free zooming is truly realized, and brand new solving approaches and tools are brought to the problems of visual function impairment, poor eyesight, visual fatigue and the like caused by the problem of the ametropia of the vast teenagers.
The free zooming caused by the staggered movement of the free-form surface lens can regularly carry out scientific and effective visual training on various non-pathological, non-organic ametropia crowds and certain amblyopia crowds with refractive properties. Thereby achieving the aims of improving the visual function, improving the visual ability, relieving the eye fatigue and the like.
The present invention provides a double-sided zoom lens combination device and a combination method of mirror image design, and the method and the way for realizing the technical scheme are numerous, the above description is only a preferred embodiment of the present invention, and it should be noted that, for those skilled in the art, several improvements and modifications can be made without departing from the principle of the present invention, and these improvements and modifications should also be regarded as the protection scope of the present invention. The components not explicitly described in this embodiment can be implemented by using the prior art.
Claims (1)
1. The double-sided zoom lens combination device with the mirror image design is characterized by comprising a group of double-sided zoom lenses, wherein the group of double-sided zoom lenses comprises two double-sided zoom lenses, and each double-sided zoom lens comprises two symmetrical zoom curved surfaces with the mirror image design;
the two double-sided zoom lenses are respectively marked as a first lens (4) and a second lens (6);
the device also comprises another group of double-sided zoom lenses, and the other group of double-sided zoom lenses are respectively marked as a third lens (5) and a fourth lens (7);
the zoom curved surface is a free curved surface, and the free curved surface comprises two optical vertexes, namely a highest point and a lowest point of the free curved surface;
the surface structures of the two symmetrical mirror image designed zoom curved surfaces included in each double-sided zoom lens are the same, the highest point of one free curved surface and the highest point of the other free curved surface are symmetrical relative to the section plane (3), and the lowest point of one free curved surface and the lowest point of the other free curved surface are symmetrical relative to the section plane (3);
the highest point of the zooming curved surface of the first lens (4) is placed in the same direction as the lowest point of the zooming curved surface of the second lens (6), and the lowest point of the zooming curved surface of the first lens (4) is placed in the same direction as the highest point of the zooming curved surface of the second lens (6); the highest point of the zooming curved surface of the third lens (5) is placed in the same direction as the lowest point of the zooming curved surface of the fourth lens (7), and the lowest point of the zooming curved surface of the third lens (5) is placed in the same direction as the highest point of the zooming curved surface of the fourth lens (7); the first lens (4) and the fourth lens (7) are in central symmetry about the middle point of the middle surface (8), and the second lens (6) and the third lens (5) are in central symmetry about the middle point of the middle surface (8);
the double-sided zoom lens formed by the two symmetrical mirror-image designed zoom curved surfaces comprises a P point, a C area, an N point and an A area, wherein the P point is an optical center point corresponding to the maximum positive degree, namely the position corresponding to the highest point of the free curved surface; the N point is an optical center point corresponding to the maximum negative degree, namely the position corresponding to the lowest point of the free curved surface; the C area is a continuous zooming channel, and a transition area from the maximum positive degree of the P point to the maximum negative degree of the N point is a transition area of a connecting line between the highest point and the lowest point; the zone A is a peripheral aberration zone, namely a zone outside the highest point and the lowest point of the lens and a transition zone between the highest point and the lowest point;
the diopter change rate delta of the C region is calculated as follows:
δ＝2*(D P -D N )/L，
wherein D is P Diopter representing the highest point, D N Diopter representing the lowest point, L representing the distance from the highest point to the lowest point;
the ratio of the thickness of the highest point of the free-form surface to the thickness of the lowest point of the free-form surface to the distance between the highest point and the lowest point of the free-form surface is in the range of 10:0.5:50-20:1.8:120;
the highest point diopter range of the free-form surface is +5.00D to +10.00D, and the lowest point diopter range of the free-form surface is-10.00D to-20.00D;
the diopter range of the double-sided zoom lens formed by the two mirror-image designed zoom curved surfaces is +20.00D to-40.00D linear zooming;
combining two groups of double-sided zoom lenses and driving the double-sided zoom lenses through a motor, wherein each group of double-sided zoom lenses comprises two double-sided zoom lenses, one group of double-sided zoom lenses is respectively marked as a first lens (4) and a second lens (6), and the other group of double-sided zoom lenses is respectively marked as a third lens (5) and a fourth lens (7);
the motor controls the first lens (4) and the second lens (6) to move at the same speed in one direction, and the motor controls the third lens (5) and the fourth lens (7) to move at the same speed in the other direction;
when the two groups of double-sided zoom lenses move in parallel through a motor and the lenses move in a staggered way to reach the maximum range, the highest point of the zoom curved surface of the first lens (4) coincides with the highest point of the zoom curved surface of the second lens (6), the highest point of the zoom curved surface of the third lens (5) coincides with the highest point of the zoom curved surface of the fourth lens (7), and the equivalent diopter is +32.00D;
when the staggered movement of the lenses reaches the maximum range in the other direction, the lowest point of the zooming curved surface of the first lens (4) is overlapped with the lowest point of the zooming curved surface of the second lens (6), the lowest point of the zooming curved surface of the third lens (5) is overlapped with the lowest point of the zooming curved surface of the fourth lens (7), and the equivalent diopter is-52.00D, so that the diopter of continuous change of { +32.00D to-52.00D } is realized;
in the process of the staggered movement of the two groups of double-sided zoom lenses, the actual zoom ratio is controlled by controlling the running step length of the motor.
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| CN105467618A (en) * | 2015-12-31 | 2016-04-06 | 江苏鹰视菲诺智能科技有限公司 | Electronic focal-length-adjustable glasses |
| CN106405869A (en) * | 2016-12-14 | 2017-02-15 | 北京耐德佳显示技术有限公司 | Lens set with adjustable focal length |
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