CN112558325A - Refraction-diffraction mixed light and thin Alvarez zoom glasses - Google Patents
Refraction-diffraction mixed light and thin Alvarez zoom glasses Download PDFInfo
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- CN112558325A CN112558325A CN201910924564.7A CN201910924564A CN112558325A CN 112558325 A CN112558325 A CN 112558325A CN 201910924564 A CN201910924564 A CN 201910924564A CN 112558325 A CN112558325 A CN 112558325A
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- G—PHYSICS
- G02—OPTICS
- G02C—SPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
- G02C7/00—Optical parts
- G02C7/02—Lenses; Lens systems ; Methods of designing lenses
- G02C7/08—Auxiliary lenses; Arrangements for varying focal length
- G02C7/081—Ophthalmic lenses with variable focal length
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
- G02B27/42—Diffraction optics, i.e. systems including a diffractive element being designed for providing a diffractive effect
- G02B27/4205—Diffraction optics, i.e. systems including a diffractive element being designed for providing a diffractive effect having a diffractive optical element [DOE] contributing to image formation, e.g. whereby modulation transfer function MTF or optical aberrations are relevant
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B3/00—Simple or compound lenses
- G02B3/0081—Simple or compound lenses having one or more elements with analytic function to create variable power
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Abstract
The invention relates to the technical field of glasses, in particular to refraction and diffraction mixed type light and thin Alvarez zoom glasses. Comprises a spectacle frame, a lens and a control component; each lens is composed of two complementary refraction and diffraction mixed Alvarez lenses in surface shape; the center area of the refraction and diffraction mixed Alvarez lens is a continuous surface shape, the edge area of the refraction and diffraction mixed Alvarez lens is a diffraction microstructure, and the distribution areas of the continuous surface shape and the diffraction microstructure are determined according to the thickness limitation of the zoom spectacle lens; each lens is fixed on a guide rail of the frame through a sliding block, and one or two of the two refraction and diffraction mixed Alvarez lenses freely slide on the guide rail of the frame, so that the change of the power is realized; the invention can select various surface structures according to different requirements; and the degree of a wearer can be automatically adjusted, the degree adjusting range is large, the thickness of the lenses is small, the whole glasses are light in weight, comfortable to wear and convenient to use.
Description
Technical Field
The invention relates to the technical field of glasses, in particular to refraction and diffraction mixed type light and thin Alvarez zoom glasses.
Background
With the increasing popularity of electronic products and the increasing work pressure of learning, the number of myopia and hyperopia groups is increasing. With the improvement of living standard, people also put higher demands on the glasses, and the glasses are not only required to have the functions of correcting vision and treatment health care, but also have more demands on the appearance, lightness and zooming of the glasses. For hyperopic patients, the alternating use of progressive multifocal lenses or pairs of spectacles is generally required to meet different vision requirements. For myopia patients, if the degree of the glasses is adjusted according to the visual needs, the eyes can clearly observe the target in a relaxed state, the fatigue of the eye muscles is relieved, and the myopia is expected to be gradually corrected.
Continuous zoom, i.e. different spectacle powers, can be achieved with two Alvarez lenses (US 3305294). However, the edge curved surface of the Alvarez lens changes more severely, and the variable power range is limited under the limitation range of the thickness of the spectacle lens. The larger the zoom range, the larger the size and weight of the whole glasses, the less comfortable the wearing, and the smaller the size and weight, the smaller the zoom range of the glasses, and the user demand of the population with the height can not be satisfied. In view of the above, the prior patents CN108845382A, CN109116580A, CN109116581A employ harmonic diffractive Alvarez lens groups to reduce the interval between two Alvarez lenses and the thickness of the zoom lens group. However, as far as the present is concerned, the glasses are of continuous surface shape, and it is desirable that the Alvarez zoom glasses have a continuous surface shape to the extent possible. In addition, harmonic diffraction limits the flexibility of shape selection.
Disclosure of Invention
Aiming at the defects of the prior art, the invention provides a refraction and diffraction mixed type light and thin Alvarez zoom glasses.
The technical scheme of the invention is realized in the following mode.
A refraction and diffraction mixed type light and thin Alvarez zoom glasses comprises a glasses frame, lenses and a control component; each lens is composed of two complementary refraction and diffraction mixed Alvarez lenses in surface shape; the center area of the refraction and diffraction mixed Alvarez lens is a continuous surface shape, the edge area of the refraction and diffraction mixed Alvarez lens is a diffraction microstructure, and the distribution areas of the continuous surface shape and the diffraction microstructure are determined according to the thickness limitation of the zoom spectacle lens; the diffraction microstructure meets the requirements of conditions and design according to processing process conditions and scalar diffraction, and the thickness distribution of the diffraction microstructure is optimized; each lens is fixed on a guide rail of the frame through a sliding block, and one or two of the two refraction and diffraction mixed Alvarez lenses freely slide on the guide rail of the frame, so that the change of the power is realized;
the polynomial equation of the Alvarez lens is
Wherein z is the surface height; x and y are two-dimensional coordinates relative to the center of the lens, respectively; a is a polynomial coefficient used for determining the thickness of the zoom glasses; f (x, y) is a higher order polynomial,
f(x,y)＝b1x4+b2x3y+b3x2y2+b4xy3+b5y4
+c1x5+c2x4y+c3x3y2+c4x2y3+c5xy4+c6y5， (2)
+......
as a preference, the first and second liquid crystal compositions are,
and x, y, z are in meters.
The two face-type complementary refraction and diffraction mixed Alvarez lenses are relatively moved along the x direction by d, preferably, one is moved by + d/2, the other is moved by-d/2, the variation of the eyeglass power is 200Ad (n-1), wherein n is the refractive index of the material of the Alvarez lens.
The central area of the refraction and diffraction mixed Alvarez lens is a continuous surface shape, the edge area is a diffraction microstructure, and the distribution areas of the continuous surface shape and the diffraction microstructure are determined according to the thickness limit of the zoom spectacle lens. Assuming that the effective thickness of the single refraction and diffraction mixed Alvarez lens is D, the surface shape is:
when in use
When the temperature of the water is higher than the set temperature,
is a continuous surface shape;
when in use
Is a diffractive microstructure;
when in use
When the temperature of the water is higher than the set temperature,
is a diffractive microstructure;
wherein mod represents a modulo operation, m (x, y) is a different positive integer distribution that is preferred according to processing conditions, scalar diffraction satisfaction conditions, and design requirements, and λ is the design wavelength, preferably 587.5618 nm.
The diffraction microstructures of the edge regions of the refraction and diffraction mixed Alvarez lens can be in a continuous distribution as shown in formulas (5) and (6) or can be quantized into a multi-step distribution in the following mode. The step number is set to be P more than or equal to 2, and the height of each step
The diffractive microstructure is then:
when in use
And is
When the temperature of the water is higher than the set temperature,
z＝D/2-(p-1)h，p＝1,2,...P， (7)
when in use
And is
When the temperature of the water is higher than the set temperature,
z＝-D/2+(p-1)h，p＝1,2,...P。 (8)
advantageous effects
1. According to the refraction-diffraction mixed type light and thin Alvarez varifocus glasses, the central area is a continuous surface shape, the edge area is a diffraction microstructure, and various surface shape structures can be selected according to different requirements.
2. The refraction and diffraction mixed type light and thin Alvarez zoom glasses are suitable for being worn by a human body, a wearer can automatically adjust the degree, the degree adjusting range is wide, the thickness of the lenses is thin, and the whole glasses are light in weight, comfortable to wear and convenient to use.
Drawings
FIG. 1 is a profile of a single Alvarez lens moved relative to 0.005m by 100 degrees;
FIG. 2 is a profile of a single Alvarez lens moved relative to 0.001m by 100 degrees;
FIGS. 3(a) to 3(c) are schematic structural diagrams of a single refraction-diffraction hybrid Alvarez lens according to this embodiment; FIG. 3(a) is a surface shape of a single refraction and diffraction mixed Alvarez lens which moves by 100 degrees relative to 0.005 m; FIG. 3(b) is a continuous diffractive structure of the edge region of a single diffractive-refractive hybrid Alvarez lens shifted by 100 degrees by 0.005m relative to the edge region; FIG. 3(c) is a 4-step diffractive structure of the edge region of a single diffractive-refractive hybrid Alvarez lens shifted by 100 degrees by 0.005m relative to the edge region;
FIGS. 4(a) to 4(c) are schematic structural diagrams of a single refraction and diffraction hybrid Alvarez lens of this embodiment, which is moved by 0.001m and varies by 100 degrees; FIG. 4(a) is a surface shape of a single refraction and diffraction mixed Alvarez lens which moves by 100 degrees relative to 0.001 m; FIG. 4(b) is a continuous diffractive structure of the edge region of a single diffractive-refractive hybrid Alvarez lens shifted by 100 degrees by 0.001m relative to the edge region; FIG. 4(c) is a 4-step diffractive structure of the edge region of a single diffractive-refractive hybrid Alvarez lens shifted by 100 degrees by 0.001m relative to the edge region;
FIGS. 5(a) and 5(b) are surface shapes of the single refraction and diffraction hybrid type Alvarez lens of the present embodiment at different positions of the central section thereof, which is shifted by 100 degrees by 0.001 m;
FIG. 6 is a schematic diagram of a continuous diffractive structure of the present embodiment, in which larger positive integer values are selected for the edge regions of a single refraction-diffraction hybrid Alvarez lens that moves by 100 degrees relative to 0.001m to increase the width of the diffractive microstructure;
fig. 7 is a central cross-sectional view of a single hybrid Alvarez lens with different positive integer values for different zones.
Detailed Description
To better illustrate the objects and advantages of the present invention, the following further description is made with reference to the accompanying drawings and examples.
Comparative example 1
If n is 1.5 and d varies by 100 degrees from 0.005m, a is 200m-2. If the value ranges of x and y are +/-0.025 m and +/-0.015 m respectively, the curved surface is shown in fig. 1, the variation range of z is +/-2.167 mm, namely the thickness of a single Alvarez lens is not less than 4.334 mm.
Comparative example 2
If n is 1.5 and d varies by 100 degrees from 0.001m, a is 1000m-2. If the value ranges of x and y are +/-0.025 m and +/-0.015 m respectively, the curved surface is shown in fig. 2, the variation range of z is +/-10.833 mm, namely the thickness of a single Alvarez lens is not less than 21.667 mm.
Example 1
A refraction and diffraction mixed type light and thin Alvarez zoom glasses comprises a glasses frame, lenses and a control component; each lens is composed of two complementary refraction and diffraction mixed Alvarez lenses in surface shape; in order to reduce the thickness of a single Alvarez lens, an refraction-diffraction mixed type surface shape is adopted. The center area of the refraction and diffraction mixed Alvarez lens is a continuous surface shape, the edge area of the refraction and diffraction mixed Alvarez lens is a diffraction microstructure, and the distribution areas of the continuous surface shape and the diffraction microstructure are determined according to the thickness limitation of the zoom spectacle lens; the diffraction microstructure meets the requirements of conditions and design according to processing process conditions and scalar diffraction, and the thickness distribution of the diffraction microstructure is optimized; each lens is fixed on a guide rail of the frame through a sliding block, and one or two of the two refraction and diffraction mixed Alvarez lenses freely slide on the guide rail of the frame, so that the change of the power is realized;
the polynomial equation of the Alvarez lens is
Wherein z is the surface height, x and y are respectively two-dimensional coordinates with respect to the lens center, A is a polynomial coefficient determining the thickness of the variable focus lens, f (x, y) is a high order polynomial,
f(x,y)＝b1x4+b2x3y+b3x2y2+b4xy3+b5y4
+c1x5+c2x4y+c3x3y2+c4x2y3+c5xy4+c6y5， (10)
+......
as a preference, the first and second liquid crystal compositions are,
and x, y, z are in meters.
The two complementary Alvarez lenses with the surface shapes are relatively moved by d along the x direction, preferably, one is moved by + d/2, the other is moved by-d/2, and the variation of the eyeglass power is 200Ad (n-1), wherein n is the refractive index of the material of the Alvarez lens.
If n is 1.5 and d varies by 100 degrees from 0.005m, a is 200m-2. If x and y are within ± 0.025m and ± 0.015m, respectively, and the thickness D of the single refraction and diffraction mixed Alvarez lens piece is 2mm, and λ is 587.5618nm, the refractive index of the single refraction and diffraction mixed Alvarez lens piece is larger than that of the single refraction and diffraction mixed Alvarez lens piece
When the temperature of the water is higher than the set temperature,
is a continuous surface shape; when in use
When the temperature of the water is higher than the set temperature,
is a diffractive microstructure; when in use
When the temperature of the water is higher than the set temperature,
is a diffractive microstructure, where mod represents the modulo operation. When m (x, y) is 20, the curved surface is as shown in fig. 3(a), and the edge region is a diffraction microstructure which is continuously distributed as shown in fig. 3 (b).
The edge area diffractive microstructure was quantified as a 4-step distribution, as shown in fig. 3 (c).
When in use
Then, the continuous surface is:
when in use
And is
Then the diffractive microstructure is:
z＝D/2-(p-1)h，p＝1,2,...P， (13)
when in use
And is
Then the diffractive microstructure is:
z＝-D/2+(p-1)h，p＝1,2,...P。 (14)
example 2
If n is 1.5 and d varies by 100 degrees from 0.001m, a is 1000m-2. If x and y are within ± 0.025m and ± 0.015m, respectively, and the thickness of the single refraction and diffraction mixed Alvarez lens is 2mm, and λ is 587.5618nm, the refractive index of the single refraction and diffraction mixed Alvarez lens is larger than that of the single refraction and diffraction mixed Alvarez lens
When the temperature of the water is higher than the set temperature,
is a continuous surface shape; when in use
When the temperature of the water is higher than the set temperature,
is a diffractive microstructure; when in use
When the temperature of the water is higher than the set temperature,
is a diffractive microstructure, where mod represents the modulo operation. When m (x, y) is 20, the curved surface is as shown in fig. 4(a), and the edge region diffraction microstructure is as shown in fig. 4 (b).
The edge area diffractive microstructure is quantified as a 4-step distribution, as shown in fig. 4 (c).
Example 3
In both of the above examples, m (x, y) was taken to be 20, and as can be seen from FIG. 4(b), the height of the diffractive microstructure was 23.5 μm and the width was less than 30 μm.
In the case shown in fig. 4, different positive integers m (x, y) can be selected according to the processing conditions.
Taking the section when y is 0 as an example, in the diffraction microstructure, the width of the diffraction microstructure becomes smaller toward the edge as shown in fig. 5(a) when-0.025 m < x < -0.02m and in fig. 5(b) when-0.0195 m < x < -0.0145 m. In order to reduce the processing difficulty, the width of the diffraction microstructure can be increased, i.e. different values of m can be selected, for example, when m is 40 when m is less than-0.025 m < x < -0.02m in the diffraction microstructure, as shown in fig. 6, the width of the diffraction microstructure is greater than the width of the diffraction microstructure in the region of-0.0195 m < x < -0.0145m where m is still 20.
Fig. 7 is a central cross-sectional view of a single hybrid Alvarez lens with different positive integer values for different zones. The thickness of a single Alvarez lens is greatly reduced while ensuring ease of processing.
The above detailed description is intended to illustrate the objects, aspects and advantages of the present invention, and it should be understood that the above detailed description is only exemplary of the present invention and is not intended to limit the scope of the present invention, and any modifications, equivalents, improvements and the like made within the spirit and principle of the present invention should be included in the scope of the present invention.
Claims (6)
1. A refraction and diffraction mixed type light and thin Alvarez zoom glasses comprises a glasses frame, lenses and a control component; each lens is fixed on a guide rail of the frame through a sliding block, and one or two of the two refraction and diffraction mixed Alvarez lenses freely slide on the guide rail of the frame, so that the change of the power is realized; the control component is used for controlling the sliding block to move; the method is characterized in that: each lens is composed of two complementary refraction and diffraction mixed Alvarez lenses in surface shape; the center area of the refraction and diffraction mixed Alvarez lens is a continuous surface shape, and the edge area of the refraction and diffraction mixed Alvarez lens is a diffraction microstructure.
2. The hybrid thin and lightweight Alvarez zoom lens of claim 1, wherein: the thickness of the lens can be changed according to processing technology conditions, scalar diffraction satisfaction conditions and design requirements;
the polynomial equation of the Alvarez lens is
Wherein z is the surface thickness in meters; x and y are two-dimensional coordinates, in meters, relative to the center of the lens, respectively; a is a polynomial coefficient used for determining the thickness of the zoom glasses; f (x, y) is a higher order polynomial,
the two face-type complementary refraction and diffraction mixed Alvarez lenses are relatively moved along the x direction by d, preferably, one is moved by + d/2, the other is moved by-d/2, the variation of the eyeglass power is 200Ad (n-1), wherein n is the refractive index of the material of the Alvarez lens.
3. The hybrid thin and lightweight Alvarez zoom lens of claim 2, wherein: the formula (1) is
z is the surface thickness in meters; x and y are two-dimensional coordinates, in meters, relative to the center of the lens, respectively; a is a polynomial coefficient for determining the thickness of the variable focus spectacles.
4. The hybrid thin and lightweight Alvarez zoom lens of claim 1, 2 or 3, wherein: the method for determining the continuous surface shape of the central area and the diffraction microstructure distribution area of the edge area of the refraction and diffraction hybrid Alvarez lens is as follows:
the effective thickness of the single hybrid Alvarez lens optic is D,
when in use
Then, the continuous surface is:
when in use
Then the diffractive microstructure is:
when in use
Then the diffractive microstructure is:
wherein mod represents a modulo operation; m (x, y) is a different positive integer distribution determined according to processing conditions, scalar diffraction satisfaction conditions, and design requirements; λ is the design wavelength.
5. The hybrid thin and lightweight Alvarez zoom lens of claim 1, 2 or 3, wherein: the method for determining the continuous surface shape of the central area and the diffraction microstructure distribution area of the edge area of the refraction and diffraction hybrid Alvarez lens is as follows:
the effective thickness of the single refraction and diffraction mixed Alvarez lens is D, the step number is P which is more than or equal to 2, and the height of each step
When in use
Then, the continuous surface is:
when in use
And is
Then the diffractive microstructure is:
z＝D/2-(p-1)h，p＝1,2,...P， (7)
when in use
And is
Then the diffractive microstructure is:
z＝-D/2+(p-1)h，p＝1,2,...P。 (8)
6. the hybrid thin and lightweight Alvarez zoom lens of claim 4 or 5, wherein: the wavelength λ is 587.5618 nm.
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Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US3507565A (en) * | 1967-02-21 | 1970-04-21 | Optical Res & Dev Corp | Variable-power lens and system |
| US4070105A (en) * | 1976-03-05 | 1978-01-24 | Marzouk Youssef Marzouk | Laminar fresnel reduced ophthalmic lens construction |
| US8197062B1 (en) * | 2008-03-19 | 2012-06-12 | Glenn Arthur Morrison | Varifical lens system for eyeglasses |
| CN108845382A (en) * | 2018-06-12 | 2018-11-20 | 杭州电子科技大学 | A kind of Alvarez lens zoom system containing harmonic diffraction surfaces |
| CN109116581A (en) * | 2018-08-28 | 2019-01-01 | 杭州电子科技大学 | A kind of humorous diffraction Alvarez zoom intelligent glasses |
-
2019
- 2019-09-25 CN CN201910924564.7A patent/CN112558325B/en active Active
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US3507565A (en) * | 1967-02-21 | 1970-04-21 | Optical Res & Dev Corp | Variable-power lens and system |
| US4070105A (en) * | 1976-03-05 | 1978-01-24 | Marzouk Youssef Marzouk | Laminar fresnel reduced ophthalmic lens construction |
| US8197062B1 (en) * | 2008-03-19 | 2012-06-12 | Glenn Arthur Morrison | Varifical lens system for eyeglasses |
| CN108845382A (en) * | 2018-06-12 | 2018-11-20 | 杭州电子科技大学 | A kind of Alvarez lens zoom system containing harmonic diffraction surfaces |
| CN109116581A (en) * | 2018-08-28 | 2019-01-01 | 杭州电子科技大学 | A kind of humorous diffraction Alvarez zoom intelligent glasses |
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