OPHTHALMIC LENS HAVING EXTENDED DEPTH OF FIELD
20230047990 · 2023-02-16
Inventors
Cpc classification
International classification
Abstract
The present disclosure relates to an ophthalmic lens with an extended depth of field including an optical unit that includes a first surface and a second surface both centered by an optical axis and opposite to each other. At least one of the first and second surfaces is defined by a superposition of a base sag profile and a feature sag profile and includes in sequence a first zone, a second zone, and a third zone along a radial direction away from the optical axis. The first zone is designed as a freeform surface zone, and the second zone is designed as a phase transition zone. The ophthalmic lens enables patients to acquire a continuous range of vision from intermediate to far distances and also optimizes their far vision without visual interference, such that the resulting far vision correction is equivalent to that of existing monofocal ophthalmic lenses.
Claims
1. An ophthalmic lens with an extended depth of field, comprising an optical unit including a first surface and a second surface that are both centered by an optical axis and are opposite to each other, wherein at least one of the first surface and the second surface is defined by a superposition of a base sag profile and a feature sag profile and comprises: a first zone extending from the optical axis to a first radial boundary; a second zone extending from the first radial boundary to a second radial boundary; and a third zone extending from the second radial boundary to a circumference of the optical unit; wherein the first zone is designed as a freeform surface zone, and the second zone is designed as a phase transition zone.
2. The ophthalmic lens according to claim 1, wherein the at least one surface is defined by:
Z(r)=Z.sub.base(r)+Z.sub.feature(r), wherein Z(r) represents a sag profile of the at least one surface, Z.sub.base(r) represents the base sag profile, Z.sub.feature(r) represents the feature sag profile, and r represents a radial distance from the optical axis,
3. The ophthalmic lens according to claim 1, wherein the first zone comprises in sequence an inner region, a middle region and an outer region along a radial direction away from the optical axis, wherein in the feature sag profile corresponding to the first zone, feature sag of the inner region is constant, the feature sag of the middle region increases as per a power series along a radial direction away from the inner region, and the feature sag of the outer region increases linearly.
4. The ophthalmic lens according to claim 2, wherein the first zone comprises in sequence an inner region, a middle region and an outer region along a radial direction away from the optical axis, and
5. The ophthalmic lens according to claim 4, wherein r.sub.120 is in a range of 0.15 mm to 0.35 mm, r.sub.122 is in a range of 0.85 mm to 1.15 mm, and r.sub.112 is in a range of 1.2 mm to 1.5 mm.
6. The ophthalmic lens according to claim 4, wherein an optical power generated by the middle region is greater than 0 D and less than 1 D, and an optical power generated by the outer region is greater than −0.5 D and less than +0.5 D.
7. The ophthalmic lens according to claim 2, wherein
Z.sub.112(r)=Σ.sub.n=0.sup.N k.sub.112_nr.sup.n, 0<r≤r.sub.112, wherein k.sub.112_n represents a polynomial coefficient of the feature sag profile corresponding to the first zone, and N represents a polynomial coefficient required to achieve the feature sag profile of the first zone.
8. The ophthalmic lens according to claim 1, wherein the second zone comprises at least one stepped portion, and wherein in the feature sag profile corresponding to the second zone, the sag of each stepped portion increases along a radial direction away from the optical axis.
9. The ophthalmic lens according to claim 2, wherein the second zone comprises at least one stepped portion, and
10. The ophthalmic lens according to claim 9, wherein the feature sag z.sub.1 of the inner peripheral boundary of the first stepped portion is essentially the same as the feature sag of the first zone at the first radial boundary.
11. The ophthalmic lens according to claim 8, wherein the second zone comprises one to four stepped portions.
12. The ophthalmic lens according to claim 8, wherein the at least one stepped portion each has a radial width in a range of 0.1 mm to 0.3 mm and a height in a range of 0.1 wave to 0.5 wave; and the second radial boundary has a radial distance from the optical axis in a range of 1.5 mm to 2.0 mm.
13. The ophthalmic lens according to claim 1, wherein the feature sag profile corresponding to the third zone is substantially constant.
14. The ophthalmic lens according to claim 2, wherein
Z.sub.116(r)=C, r114<r≤r.sub.oz, wherein C represents a constant.
15. The ophthalmic lens according to claim 14, wherein C and the second zone have essentially same feature sags at the second radial boundary.
16. The ophthalmic lens according to claim 1, wherein a radial distance to the circumference of the optical unit from the optical axis is in a range of 2.5 mm to 4.0 mm.
17. The ophthalmic lens according to claim 4, wherein an optical power generated by the middle region is greater than 0 D and less than 1 D, and an optical power generated by the outer region is greater than −0.5 D and less than +0.5 D.
18. The ophthalmic lens according to claim 9, wherein the second zone comprises one to four stepped portions.
19. The ophthalmic lens according to claim 9, wherein the at least one stepped portion each has a radial width in a range of 0.1 mm to 0.3 mm and a height in a range of 0.1 wave to 0.5 wave; and the second radial boundary has a radial distance from the optical axis in a range of 1.5 mm to 2.0 mm.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0014] For a more complete understanding of the present disclosure and its advantages, reference is now made to the following description in conjunction with the accompanying drawings in which same reference signs indicate same features. In the drawings:
[0015]
[0016]
[0017]
[0018]
[0019]
[0020]
[0021]
[0022]
[0023] It will be understood by those skilled in the art that the following accompanying drawings are for illustrative purposes only. These accompanying drawings are not intended to limit the scope of the present disclosure in any way.
DETAILED DESCRIPTION
[0024] It shall be understood that the present disclosure simplifies the accompanying drawings and description to illustrate the components of the present disclosure in a manner that is helpful for a clear understanding, and other components visible in a typical ophthalmic lens are not shown for the sake of clarity and brevity. Accordingly, one of ordinary skill in the art shall understand that there exist certain other components desirable and/or needed in implementing the present disclosure. Because such components are well known in the art and may not be conducive to a better understanding of the present disclosure, no description of such components is provided in the present disclosure. The present disclosure is intended to cover all changes and modifications based on components known to those skilled in the art.
[0025] An existing extended depth of field technology (such as the aforementioned EDOF IOLs) creates a single-elongated focal point corresponding to the range of vision covering both far and intermediate vision without a significant discretion of foci as in multifocal IOLs, and thereby can provide the patients with a continuous range of vision correction from far to intermediate distances. The known EDOF technology can be classified into two types. One type is to adopt diffraction technology as in multifocal technology, the principles and shortcomings of which are thus similar to those of multifocal correction technology. The other is to use phase shift technology and also have following two shortcomings. 1) Although this technology adopts the phase shift technology, there are at least two partitions with two completely different base profiles (e.g., sag (i.e., sagittal height) profiles). In addition, the energy distribution, although continuous, still needs to be optimized, and the corrected vision of the patient is still unsatisfactory when looking into the distance via a small aperture, thus there is still a certain gap compared with the effect of monofocal IOL far vision correction. 2) Since the phase shift zone is close to the optical center, the IOL based on this technology is more like a monofocal IOL in the case of a large aperture, which cause the reduced ability to correct intermediate vision and thereby fail to achieve the effect of extending the depth of field.
[0026] Compared to existing EDOF designs (e.g., EDOF IOL), the improved ophthalmic lens with an extended depth of field according to the present disclosure creates a single-elongated focal point corresponding to the range of vision covering both far and intermediate vision by a unique freeform surface combined with a phase transition technology. Specifically, parameters of the freeform surface are reasonably configured to overcome the problem in the prior art that two partitions have different base profiles, and relative positions and amplitudes for the phase transition with a higher degree of freedom compared with the existing phase shift technology are configured to not only ensure the correction of the far and intermediate vision of the patient under different apertures while optimizing the light energy distribution for the far vision of the patient. Thus, the ophthalmic lens according to the present disclosure enables patients to acquire correction over a continuous range of vision from intermediate to far distances and also optimizes their far vision without visual disturbances, such that the resulting far vision correction is equivalent to that of existing monofocal ophthalmic lenses (such as, IOL). According to embodiments of the present disclosure, the light energy is more effectively distributed for the range of vision from intermediate to far distances under different optical apertures, whereby the energy distribution for key frequency bands corresponding to far distances is optimized and enhanced under a premise of maintaining the continuity of energy distribution.
[0027] Embodiments of the present disclosure may advantageously provide an ophthalmic lens for vision correction (including, but not limited to, myopia, hyperopia, astigmatism, cataracts, and/or presbyopia) with an extended depth of field and enhanced vision. In some embodiments, the ophthalmic lens may include contact lenses, corneal inlays or covers, or artificial lenses (IOLs), which may for example include phakic IOLs and piggyback IOLs (i.e., IOLs implanted in eyes with existing IOLs). The ophthalmic lens according to the present disclosure is particularly useful for the treatment of presbyopia and cataracts in the middle-aged population.
[0028]
[0029] As shown in
[0030] As shown in
[0031] In some embodiments, the first surface 106 includes: a first zone 112 extending from the optical axis 104 to the first radial boundary; a second zone 114 extending from the first radial boundary to the second radial boundary; and a third zone 116 extending from the second radial boundary to a circumference of the optical unit 102. The first zone 112 is designed as a freeform surface zone, the second zone 114 is designed as a phase transition zone, and the third zone 116 is designed as a peripheral optical zone. The surface profile of the first surface 106 is defined by the superposition of the base sag profile and the feature sag profile. For example, the base sag profile may be spherical or aspheric.
[0032] Although the first zone 112, the second zone 114, and the third zone 116 described above are illustrated and described as being disposed on the first surface 106 of the optical unit 102, the present disclosure contemplates that the first zone 112, the second zone 114, and the third zone 116 may additionally or alternatively be disposed on a second surface 108 of the optical unit 102, such that a similar light wave phase modulation effect is produced. In addition, the optical unit 102 determines a reference focal length of the ophthalmic lens, which typically needs to correspond to the patient's distance vision correction. However, the additional focal length of the ophthalmic lens may be defined relative to the reference focal length depending on the situation, e.g., depending on the dominant and non-dominant eyes to thereby improve the overall vision of both eyes.
[0033] As a particular embodiment, the surface profile of the first surface 106 may be described as a following equation (1):
Z(r)=Z.sub.base(r)+Z.sub.feature(r) (1)
[0034] where Z(r) represents a sag profile of the first surface 106, Z.sub.base(r) represents the base sag profile, Z.sub.feature(r) represents the feature sag profile, and r represents a radial distance from the optical axis 104.
[0035] Z.sub.base(r) and Z.sub.feature(r) may be described as following equations (2) and (3), respectively:
[0036] where c represents a base curvature of the first surface 106; k represents a conic constant; a.sub.4 and a.sub.6 represent a fourth order coefficient and a sixth order coefficient, respectively; Z.sub.112(r), Z.sub.114(r) and Z.sub.116(r) represent the feature sag profiles corresponding to the first zone 112, the second zone 114 and the third zone 116, respectively; and r112, r114 and r.sub.oz represent radial distances from the optical axis 104 to the first radial boundary, the second radial boundary, and the circumference of the optical unit 102, respectively.
[0037] Although the equation (2) describes the base sag profile of the aspheric surface in general, the equation (2) may be configured to describe the spherical surface by choosing k, a.sub.4 and a.sub.6 to be all zero.
[0038] In some embodiments, the first zone 112 as a freeform surface zone may include an inner region 120, a middle region 122, and an outer region 124 along a radial direction away from the optical axis 104. In the feature sag profile of the first zone 112 (i.e., without the contribution of the base sag profile), the sag of the inner region 120 is constant, sag of the middle region 122 increases as per a power series along a radial direction away from the inner region 120, and the sag of the outer region 124 increases linearly.
[0039] As a particular embodiment, Z.sub.112(r) corresponding to the feature sag profile of the first zone 112 may be a continuous curve and may be expressed as the following equation (4a):
[0040] where r.sub.120 and r.sub.122 represent radial distances from the optical axis 104 to outer peripheral boundaries of the inner region 120 and the middle region 122, respectively; k.sub.122_4, k.sub.122_3, k.sub.122_2, k.sub.122_1, and k.sub.122_0 represent polynomial coefficients of the feature sag profile corresponding to the middle region 122; and k.sub.124_1 and k.sub.124_0 represent linear coefficients of the feature sag profile corresponding to the outer region 124, with the k.sub.122_0 and k.sub.124_0 enabling the function continuity of Z.sub.112(r).
[0041]
[0042] Preferably, the radial distance r.sub.120 (e.g., a boundary radius) of the peripheral boundary of the inner region 120 from the optical axis 104 is in a range of 0.15 mm to 0.35 mm. Preferably, the power increase in the feature sag of the middle region 122 produces an optical power greater than 0 D (Diopter) and less than 1 D, and the radial distance r.sub.122 of the peripheral boundary of the middle region 122 from the optical axis 104 is in the range of 0.85 mm to 1.15 mm. Preferably, the linear increase in the feature sag of the outer region 124 produces an optical power greater than −0.5 D and less than +0.5 D, and the radial distance r.sub.112 of the outer peripheral boundary of the outer region 124 from the optical axis 104 is in the range of 1.2 mm to 1.5 mm.
[0043] As an alternative or optional embodiment, the feature sag profile of the first zone 112 is not configured by partition (e.g., inner, middle, and outer regions as described above), but is defined by polynomial fitting as a whole or in the form of a spline curve by fixing key nodes, provided that the aforesaid features are substantially satisfied.
[0044] As a particular embodiment, Z.sub.112(r) corresponding to the feature sag profile of the first zone 112 may be overall expressed as the following equation (4b):
Z.sub.112(r)=Σ.sub.n=0.sup.N k.sub.112_nr.sup.n, 0<r≤r.sub.112 (4b)
[0045] where k.sub.112_n represents a polynomial coefficient of the feature sag profile defining the first zone 112, and N represents a polynomial coefficient required to achieve the feature sag profile of the first zone 112.
[0046] In some embodiments, the second zone 114 as a phase transition zone may include at least one stepped portion. In the feature sag profile of the second zone 114 (i.e., without the contribution of the base sag profile), the sag of each stepped portion increases in a radial direction away from the optical axis 104.
[0047] As a particular embodiment, Z.sub.114(r) corresponding to the feature sag profile of the second zone 114 may be expressed as the following equation (5):
[0048] where Z.sub.114_i(r) represents a feature sag profile defining an i.sup.th stepped portion from the at least one stepped portion; hi represents a feature sag difference between an outer peripheral boundary and an inner peripheral boundary of the i.sup.th stepped portion; r.sub.i represents a radial distance from the inner peripheral boundary of the i.sup.th stepped portion to the optical axis 104; and z.sub.i represents a feature sag of the inner peripheral boundary of the i.sup.th stepped portion. It shall be noted that r.sub.i is equal to r112, and r.sub.(i+1) is equal to r114 for the last stepped portion (i.e., the outermost stepped portion with the largest i). Preferably, in order to ensure continuity between the inner peripheral boundary of the first stepped portion of the second zone 114 (i.e., the innermost stepped portion with i being 1) and the first zone 112, the feature sag z.sub.1 of the inner peripheral boundary of the of the first stepped portion may be substantially the same as the feature sag of the first zone 112 at the first radial boundary (i.e., at a distance r112 from the optical axis 104).
[0049]
[0050] Preferably, the number of stepped portions of the second zone 114 is in the range of 1 to 4. Preferably, the radial width of the stepped portion (i.e., r.sub.i+1−r.sub.i) is in the range of 0.1 mm to 0.3 mm, and the optical path difference of the step height (i.e., h.sub.i) is in the range of 0.1 wave to 0.5 wave at the designed wavelength. Preferably, the radial distance r114 of the second radial boundary from the optical axis 104 is in the range of 1.5 mm to 2.0 mm.
[0051] In some embodiments, the feature sag profile of the third zone 116, which is the peripheral optical zone, is substantially constant.
[0052] As a particular embodiment, Z.sub.116(r) corresponding to the feature sag profile of the third zone 116 may be expressed as the following equation (6):
Z.sub.116(r)=C, r114<r≤r.sub.oz (6)
[0053] where C represents a constant.
[0054] As an example, C may be 0. As another example, in order to ensure continuity between the third zone 116 and the second zone 114, C may be substantially the same as the feature sag of the second zone 114 at the second radial boundary (i.e., at a distance r114 from the optical axis 104).
[0055]
[0056] Preferably, the radial distance r.sub.oz to the peripheral boundary of the third zone 116, i.e., the circumference of the optical unit 102, from the optical axis 104 is in a range of 2.5 mm to 4.0 mm.
[0057] The improved ophthalmic lens with an extended depth of field according to the present disclosure may produce a delay in the phase distribution of light waves in space by an optical unit having at least some of the aforementioned features, such that each subwave of different phases in the light waves distributed in space generates interference, thereby achieving the effect of extending the depth of field by rational distribution of light energy for the range of vision from far to intermediate distances.
[0058] The experimental examples will be described in detail below in conjunction with specific examples of the present disclosure and comparative examples for performance comparison.
[0059] An example of an improved ophthalmic lens with an extended depth of field according to the present disclosure is designed and prepared based on the parameters illustrated in Table 1 below, where only one surface employs a superposition of the base sag profile and the feature sag profile based on the parameters in Table 1 below.
TABLE-US-00001 TABLE 1 Parameters Values Lens material 1.55 refractive index r112 1.22 mm r114 1.90 mm r.sub.oz 3.00 mm r.sub.120 0.19 mm r.sub.122 1.05 mm k.sub.122_4 0.00086632 mm.sup.−3 k.sub.122_3 −0.00369424 mm.sup.−2 k.sub.122_2 0.00492636 mm.sup.−1 k.sub.122_1 −0.00129371 k.sub.122_0 0.00009217 mm k.sub.124_1 0 k.sub.124_0 0.00094157 mm r.sub.1 1.22 mm z.sub.1 0.37 wave h.sub.1 0.09 wave r.sub.2 1.505 mm z.sub.2 0.26 wave h.sub.2 0.23 wave r.sub.3 1.71 mm z.sub.3 0.24 wave h.sub.3 0.15 wave r.sub.4 1.90 mm c 1/15 mm.sup.−1 k 0.21 a.sub.4 0.0016 a.sub.6 0.000078
[0060]
[0061] The existing monofocal ophthalmic lens prepared as a comparative example is essentially the same as the ophthalmic lens according to the aforesaid example, except for that a corresponding surface employs only the same base sag profile (that is, parameters, such as the lens material refractive index, r.sub.oz, c, k, a4, a6, etc., are the same) as in the example without the feature sag profile.
[0062] In order to confirm the performance improvement of the ophthalmic lens with an extended depth of field according to the example of the present disclosure over the existing monofocal ophthalmic lens taken as a comparative example, modulation transfer function (MTF) are obtained for different object vergences to acquire images, the results of which are shown in
[0063] The horizontal axis of
[0064] The terms “approximately” and “substantially” herein denote an amount that is equal to or close to the stated amount (e.g., an amount that still performs the desired function or achieves the desired result). For example, unless otherwise stated, the terms “about” and “substantially” may refer to the amount within (e.g., above or below) 10%, within (e.g., above or below) 5%, within (e.g., above or below) 1%, within (e.g., above or below) 0.1%, or within (e.g., above or below) 0.01% of the stated amount.
[0065] Various embodiments of the present disclosure have been described herein. Although the present disclosure has been described with reference to specific embodiments, this specification is only intended to illustrate rather than limit the present disclosure. Those of ordinary skill in the art may envisage various modifications and applications without departing from the basic concept and scope of the present disclosure.