PROGRESSIVE ADDITION LENSES WITHOUT NARROW PROGRESSIVE CORRIDOR
20230161180 · 2023-05-25
Inventors
Cpc classification
G02C7/022
PHYSICS
International classification
Abstract
Provided is a progressive addition lens without a progressive corridor and capable of eliminating the peripheral unwanted astigmatism on both sides of the central progressive zone of the lens. The rear surface of the lens blank is processed to form a three-dimensional freeform surface, making it the lens of the present invention, which can provide a clear distance view on the top thereof, a clear near view on the bottom thereof, and a clear intermediate view thereof at the middle progressive zone. The present disclosure has a wide field of view and a high visual clarity that greatly reduces the interference of vision in the peripheral unwanted astigmatism area.
Claims
1. A progressive addition lens without narrow progressive corridor, comprising: a distant vision zone at an upper part of a lens; a near vision zone at a lower part of the lens; and a intermediate vision zone at a middle part of the lens and between the distant vision zone and the near vision zone, wherein a peripheral astigmatism zone is on both sides of the intermediate vision zone, wherein the lens is directly formed by a freeform machining process, a rear surface of the lens is a freeform surface, the intermediate vision zone increases a field of view by the freeform surface, forms an area that does not have a progressive corridor area and reduces the peripheral astigmatism zone, and a ratio of the peripheral astigmatism zone to the intermediate vision zone is between 5% and 20%, wherein the front surface of the lens is a spherical surface, or an aspherical surface determined according to the following formula:
x2+y2+(1+Q)z2−2zR=0 where x is the x axis of a coordinate system on a surface of the lens, y is the y axis of the coordinate system of the surface of the lens, z is a surface height, R is a radius of curvature of an apex of the lens, and Q is the spherical surface or the aspherical surface (Q=0 represents the spherical surface, and Q≠0 represent the aspherical surface).
2. The progressive addition lens without narrow progressive corridor of claim 1, wherein the rear surface of the lens is composed of a combination of a primary structure height function and a secondary structure height function.
3. The progressive addition lens without narrow progressive corridor of claim 2, wherein the primary structure height function is determined by all of or part of the combination of shape functions that control a variation of a vertical degree in a Zernike function, and the shape functions include Z.sub.3 to Z.sub.27. wherein the Zernike function is determined according to the following formula:
4. The progressive addition lens without narrow progressive corridor of claim 3, wherein the Zernike function is determined according to the following formula:
5. The progressive addition lens without narrow progressive corridor of claim 2, wherein the secondary structure height function includes Z.sub.6 to Z.sub.27 in addition to the Zernike function used in the primary structure height function.
6. The progressive addition lens without narrow progressive corridor of claim 1, wherein the freeform surface includes spherocylindrical power and progressive addition power, wherein the spherocylindrical power is determined according to the following formula:
F(θ)=S+C sin.sup.2(θ−α), and
R(θ)=(n.sub.2−n.sub.1)/F(θ), where s is the degree of the spherical surface, c is the degree of the cylindrical surface, α is the cylindrical axis, F(θ) is the degree at an angle θ, R(θ) is the radius of curvature at the angle θ, n.sub.1 is the refractive index of air (n.sub.1=1.0), and n.sub.2 is the refractive index of the lens.
7. The progressive addition lens without narrow progressive corridor of claim 1, wherein the lens is manufactured by a freeform machining process.
8. The progressive addition lens without narrow progressive corridor of claim 1, wherein the lens is manufactured by a polishing process after a freeform machining process.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0016] The patent or application file contains at least one drawing executed in color. Copies of this patent or patent application publication with color drawing(s) will be provided by the Office upon request and payment of the necessary fee.
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DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT
[0027] The detailed description of the present disclosure is provided in combination with the accompanying drawings.
[0028] In general, in the case of ignoring the thickness of the lens (thin lens), the total power of the lens can be determined by the sum of the surface powers of the two surfaces of the lens (i.e., the front surface and the rear surface), and the surface power of the lens is calculated from the refractive index (n) and radius of curvature (R) of the lens. Consequently, the refractive index of the lens can be determined when the material of the lens is known. In addition, as long as the shapes of the front and rear surfaces of the lens are determined, the surface power of lens can be known.
[0029] The front surface of the lens of the present disclosure may be a spherical surface or an aspherical surface, and the rear surface of the lens is a freeform surface, but not limited thereto. Therefore, as shown in
[0030] It is worth noting that the intermediate vision zone of the present disclosure does not have progressive corridor areas, and the peripheral astigmatism areas on both sides of the intermediate vision zone are greatly eliminated such that the progressive addition lens of the present disclosure has a wide field of view and high definition that greatly eliminates peripheral astigmatism from interfering with vision. That is, the ratio of the peripheral astigmatism zone to the intermediate vision is about 5%˜20%, and the best is about 5%˜10%.
[0031] If the front surface of the present disclosure is spherical or aspherical, it is determined according to the following formula:
x.sup.2+y.sup.2+(1+Q)z.sup.2−2zR=0, (1)
[0032] where x is the x axis of a coordinate system on a surface of the lens, y is the y axis of the coordinate system of the surface of the lens, z is a surface height, R is a radius of curvature of an apex of the lens, and Q is the spherical surface or the aspherical surface (Q=0 represents the spherical surface, and Q≠0 represent the aspherical surface).
[0033] The rear surface of the present disclosure is a freeform surface made by a freeform machining process includes spherocylindrical power and progressive addition power. The spherocylindrical power is determined according to the following formula:
F(θ)=S+C sin.sup.2(θ−α), and (2)
R(θ)=(n.sub.2−n.sub.1)/F(θ), (3)
[0034] where s is the degree of the spherical surface, c is the degree of the cylindrical surface, α is the cylindrical axis, F(θ) is the degree at an angle θ, R(θ) is the radius of curvature at the angle θ, n.sub.1 is the refractive index of air (n.sub.1=1.0), and n.sub.2 is the refractive index of the lens.
[0035] The progressive addition power is designed on the rear surface of the lens of the present disclosure. Accordingly, the full surface height function of the present disclosure can be obtained by combining both a primary structure height function and a secondary structure height function.
[0036] The primary structure height function is mainly used to design the magnitude and rate of change of the distant vision power and the near vision addition power, and is composed of all or partial combinations of the shape functions that control the vertical power changes in the Zernike polynomial. The shape functions include Z.sub.3 to Z.sub.27 (please refer to the Zernike polynomial below and Table 1 below).
[0037] The height function (Z.sub.k(x, y)) of the lens surface geometry can be described by the combination of Zernike polynomials representing the shape of the aberration surface:
[0038] where k is the k-th polynomial (integer of k≥0), x is a horizontal coordinate, y is a vertical coordinate, m is an angular frequency, n is the n-th order aberration, and a, b and c are all integers greater than or equal to 0.
[0039] Moreover, under the condition that the secondary structure height function does not affect the equivalent spherical power (M) distribution presented by the primary structure height function, the added high-order Zernike function is mainly used to design the distribution, reduction and removal of the peripheral astigmatism power. In addition to the above-mentioned Zernike function used in the primary structure height function. The secondary structure height function includes Z.sub.6 to Z.sub.27 (please refer to the following Zernike polynomials and Table 1).
[0040] Using the aforesaid full surface height function of the lens of the present disclosure, the combination of Zernike polynomials up to sixth order and the Zernike coefficients thereof can be derived. The Zernike coefficients are variable. After that, the equivalent spherical power and astigmatism power of the lens can be calculated according to the coefficients brought into the polynomials according to the following formula:
[0041] where c.sub.n.sup.m is the Zernike coefficient of the nth-order aberration angular frequency m, r is the simulated pupil radius (here set to 2.25 mm), M is the equivalent spherical power, Jo is the power of orthogonal astigmatism, J.sub.45 is the power of oblique astigmatism, and J is the power of astigmatism.
[0042] In order to facilitate the understanding of the design of the progressive addition lenses without narrow progressive corridor of the present disclosure, the present disclosure provides the following specific embodiments, which are described as follows.
First Embodiment
[0043] In the first embodiment of the present disclosure, the material thereof is PC (n−1.586), the prescription thereof is plano/+2.00 Add, the diameter thereof is 67 mm, the front surface shape of the progressive addition lenses without narrow progressive corridor is designed to be Q=0 (spherical), and the base curve is +4.50 D. Therefore, the design of the rear surface shape of the progressive addition lens of the present disclosure is as follows.
[0044] In the first embodiment of the present disclosure, the primary structure height function is determined according to the following formula:
[0045] In the first embodiment of the present disclosure, the secondary structure height function is determined according to the following formula:
Z.sub.k(x,y)=0 (10)
[0046] The three-dimensional space data (x, y, z) obtained from the above formula is further converted into a computer numerical control program and input into a freeform machine, and the rear surface shape of the progressive addition lenses without narrow progressive corridor is formed through the freeform machining process.
Second Embodiment
[0047] In the second embodiment of the present disclosure, the material thereof is PC (n−1.586), the prescription thereof is −2.50/+2.00 Add, the diameter thereof is 67 mm, the front surface shape of the progressive addition lens is designed to be Q=0 (spherical), and the base curve is +2.25 D.
[0048] In light of the above, the detection methods of lens power distribution can be divided into optical and non-optical methods. The optical methods can be divided into Moire optical interference technology and wavefront aberration detection technology. The non-optical methods are mainly to scan the height change on the lens with a three-dimensional coordinate measuring machine, and then convert it into a power distribution diagram.
[0049] The measured diagram of the second embodiment of the present disclosure is that after the previous wavefront aberration detector measures the power of the entire surface of the lens to obtain data, the contour diagram is drawn with MATLAB software. The actual mass-produced lens of the second embodiment is tested by the instrument. The detection is mainly based on the center of the lens, and the lens area with a diameter of 40 mm is the actual measurement range. The lens area within this range is sufficient to cover all important optical areas of current progressive lenses. The actual measurement diagrams are shown in
Third Embodiment
[0050] In the third embodiment of the present disclosure, the material thereof is PC (n−1.586), the prescription thereof is plano/+2.00 Add, the diameter thereof is 67 mm, the front surface shape of the progressive addition lens is designed to be Q=0 (spherical), and the base curve is +4.50 D. Therefore, the design of the rear surface shape of the progressive addition lens of the present disclosure is as follows.
[0051] In the third embodiment of the present disclosure, the primary structure height function is also determined according to the above formula, while the secondary structure height function is determined according to the following formula:
Z.sub.k(x,y)=C.sub.15Z.sub.15(x,y)=C.sub.15√12(5x.sup.4y.sup.3−10x.sup.2y.sup.3+y.sup.5) (11)
[0052] With the design of the rear surface shape of the progressive addition lens mentioned above,
[0053] It is worth mentioning that the Zernike coefficients of the above specific embodiments of the present disclosure are shown in Table 1.
TABLE-US-00001 TABLE 1 Zernike coefficients of the surface height function of the progressive addition lens of the present disclosure Coefficient Coefficient Coefficient k of Z.sub.k(x, y) of front of rear of sum of two and C.sub.k C.sub.n.sup.m(x, y) surface (μm) surface (μm) surfaces (μm) 3 C.sub.2.sup.−2 0.1 −0.1 0.2 4 C.sub.2.sup.0 −1262.8 975.5 −287.2 5 C.sub.2.sup.+2 0.1 −0.1 0.0 6 C.sub.3.sup.−3 0.1 −0.1 0.0 7 C.sub.3.sup.−1 0.1 79.9 80.0 8 C.sub.3.sup.+1 0.1 −0.1 0.2 9 C.sub.3.sup.+3 0.1 −0.1 0.2 10 C.sub.4.sup.−4 0.1 −0.1 0.2 11 C.sub.4.sup.−2 0.1 −0.1 0.2 12 C.sub.4.sup.0 −5.4 2.5 −3.0 13 C.sub.4.sup.+2 0.1 −0.1 0.0 14 C.sub.4.sup.+4 0.1 −0.1 0.0 15 C.sub.5.sup.−5 0.1 −0.1 0.0 16 C.sub.5.sup.−3 0.1 −0.1 0.0 17 C.sub.5.sup.−1 0.1 −10.1 −10.0 18 C.sub.5.sup.+1 0.1 −0.1 0.2 19 C.sub.5.sup.+3 0.1 −0.1 0.2 20 C.sub.5.sup.+5 0.1 −0.1 0.2 21 C.sub.6.sup.−6 0.1 −0.1 0.2 22 C.sub.6.sup.−4 0.1 −0.1 0.2 23 C.sub.6.sup.−2 0.1 −0.1 0.2 24 C.sub.6.sup.0 0.1 −0.1 0.0 25 C.sub.6.sup.+2 0.1 3.2 3.4 26 C.sub.6.sup.+4 0.1 −0.1 0.0 27 C.sub.6.sup.+6 0.1 −0.1 0.0
[0054] In addition, please note that, as shown in
[0055] In light of the above, the present disclosure can directly use commercially available lens blanks to process the rear surface of the lens by a freeform machine according to the different needs of users to form the freeform surface. It can also be processed according to various needs, such as coatings including anti-scratch, anti-reflection, anti-fog, photochromic, etc., which can not only reduce mold development costs, but also reduce inventory costs.
[0056] The lens blank mentioned in the present disclosure generally refers to a blank made from a mold with a predetermined power curvature on the front surface of the lens, or made from a mold with basic power on the front and back surfaces of the lens. Then, the rear surface of the lens blank is freeform machined and polished to achieve the desired prescription of the consumer.
[0057] Although the present disclosure has been described with reference to the preferred exemplary preferred embodiments thereof, it is apparent to those skilled in the art that a variety of modifications and changes may be made without departing from the scope of the present disclosure which is intended to be defined by the appended claims.