CN115969573A - Single-focus enhanced intraocular lens with smooth phase distribution - Google Patents
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Abstract
The invention discloses a single-focus enhanced intraocular lens with smooth phase distribution, which comprises a lens main body and a supporting loop; wherein the lens body comprises optical surfaces, wherein the optical surfaces comprise a first optical surface, a second optical surface; the first optical surface or the second optical surface is provided with a diffraction profile, the diffraction profile comprises a plurality of annular zones, and the diffraction profile meets smooth phase distribution. By adopting the technical scheme, the artificial lens obtained by the invention has high diffraction efficiency, higher far-sight optical performance and larger intermediate-sight focal depth, meets the basic performance of a single-focus enhanced artificial lens, has continuous and smooth surface contour and low processing difficulty, and effectively reduces optical pollution phenomena such as light, stray light and the like.
Description
Technical Field
The invention relates to the technical field of intraocular lenses, in particular to a continuous-profile single-focus enhanced intraocular lens with smooth phase distribution.
Background
The replacement of the natural crystalline lens of human eyes by implanting artificial crystalline lens through operation is the core means of the cataract recovery operation at present. The most advanced IOL design today tends to extend the depth of focus or multifocal, creating in succession multifocal, EDOF intraocular lenses, providing patients with clear vision over multiple distances or a continuous large range to meet the needs of daily living, and providing good eyeglass independence. The triple-focus artificial lens adds an intermediate visual range on the basis of double focuses to supplement the defects of the original visual range, meets the requirements of a patient on the cases of looking near, looking at the middle and looking far, meets the practical requirements, and can generate certain optical phenomena such as halation, glare and the like. While the EDOF intraocular lens is more continuous in optical performance and has no break point compared with the trifocal intraocular lens, the actual implantation experience does not bring better intermediate and near vision than the trifocal intraocular lens.
The main method for realizing the large focal depth design is to introduce annular partition design and refraction and diffraction mixed design into the artificial lens. The TECNIS SymfonyTM IOLs series large focal depth artificial lens provided by J & J Vision company obtains more continuous optical performance by introducing a unique diffraction structure patent technology and combining an achromatic technology, but the performance depends on the size of a pupil; because a diffraction structure is used, an apodization profile exists and is distributed in a periodic circular ring step manner, and certain energy cannot be converged to a designed diffraction order due to the appearance of profile breakpoints; in processing, the product has higher requirements on polishing, and performance is easily reduced due to processing precision or errors. An ophthalmic lens with extended depth of field (patent CN 113693780A) is designed in segments, using a free-form surface design in the inner annular region and a conventional diffractive design in the outer annular region. The design combination brings more excellent large focal depth performance and can have the visual anti-interference capability similar to that of a single-focus artificial lens. The introduction of complex designs such as free-form surfaces and discontinuous diffraction profiles has resulted in increased processing difficulties and costs.
The single focus enhanced intraocular lens is set to target performance according to the requirements of patients. Monofocal intraocular lenses provide vision treatment for only one distance and, as are commonly used to correct distance vision, provide clear, low optical contamination, but patients often require some intermediate range of vision to facilitate their daily needs. According to the thought, certain large focal depth design can be made on the basis of keeping the performance characteristics of a single focus, so that certain performance tends to be in the middle and short focal distances, and most daily requirements are met.
The diffraction profile with smooth phase distribution has the characteristics of continuity, smoothness and flexibility in regulation and control, and can meet the requirements of design and processing. Based on the problems encountered in design and processing, there is a need to design a single focus enhanced intraocular lens with a smooth phase profile. The performance requirements of the single-focus enhanced intraocular lens are met, and meanwhile, the diffraction profile of the intraocular lens needs to have the characteristics of continuity, smoothness, high diffraction efficiency, multiple phase function design parameters and the like.
Disclosure of Invention
In order to solve the problems in the prior art, the invention provides a single-focus enhanced intraocular lens with smooth phase distribution, which can be designed according to performance requirements by regulating and controlling a phase function through a plurality of parameters according to the flexible regulation and control characteristics of a phase model and taking an additional focal power as an optimization variable to obtain the single-focus enhanced performance intraocular lens.
In order to achieve the technical purpose, the invention provides the following technical scheme:
a single focus enhanced intraocular lens with a smooth phase profile comprising:
a lens body, a support tab; wherein the lens body comprises optical surfaces, wherein the optical surfaces comprise a first optical surface, a second optical surface; a diffraction profile is disposed on the first optical surface or the second optical surface, wherein the diffraction profile comprises a number of annular zones, wherein the diffraction profile satisfies a smooth phase profile.
Optionally, the total surface profile height of the optical surface provided with a diffraction profile satisfies the following formula:
Z totol ＝Z(r)+h(r)
wherein Z is totol The total surface profile height of the optical surface of the additional diffraction profile; z (r) is the profile height of the even aspheric surface; h (r) is the diffraction profile height; r is the radial distance from a point on the optical axial plane.
Optionally, the optical surfaces are even aspheric surfaces, wherein the profile height function of the even aspheric surfaces satisfies the following formula:
in the formula: z (r) is a curve expression of the even-order aspheric surface in the direction of radius r, c is the reciprocal of the curvature radius of the even-order aspheric surface, k is the conic coefficient of the even-order aspheric surface, r is the radial distance of a point on the central facing surface of the even-order aspheric surface, and alpha i Is a coefficient of a higher order term of an aspheric surface
Optionally, the diffraction profile satisfies the following formula:
in the formula: h (r) is an expression of the diffraction profile (4), λ is the design wavelength, n 2 Is the refractive index of the intraocular lens material, n 1 The refractive index, φ (r), of the medium surrounding the intraocular lens is a designed phase function corresponding to the diffraction profile.
Optionally, the phase function satisfies the following formula:
in the formula: phi (r) is a phase function corresponding to the diffraction profile; r is the radial distance of a point on the optical axial plane; po is the parameter used in the phase function for regulation; tan (r) is -1 Is an arctangent function; sin is a sine function; alpha is a sine amplitude regulation parameter; so is the amplitude modulation parameter of the arctangent function; t is the phase function with respect to r 2 The period of (c).
Optionally, the phase function further includes using one or more of a cosine function, a parabola, a quadratic curve function or a hyperbolic function to achieve a smooth phase distribution, and the diffraction profile obtained based on the smooth phase distribution further includes performing a segmentation or apodization process.
Optionally, the lens body is made of hydrophobic acrylate, hydrophilic acrylate or polymethyl methacrylate, wherein the design wavelength of the lens body is 550nm.
Optionally, the thickness of the lens body is 0.6mm to 1.2mm, the diameter of the lens body is 6mm, and the diameter of the diffraction profile is 5mm.
The optional range of the additional focal power of the artificial lens is-1.0D- +1.0D, and the range of the basic focal power of the artificial lens is + 10D- +30D. The single-focus enhancing performance refers to the expansion of a certain intermediate visual range focal depth on the basis of the performance of the similar hyperopic single-focus artificial lens.
The optional basic focal power of the artificial lens is determined by a basic surface type, and the additional focal power of the artificial lens is determined by a parameter T in the diffraction phase function, wherein the parameter T and the additional focal power P d Satisfies the following formula:
the invention has the following technical effects:
1. the invention provides a single focus enhanced intraocular lens with smooth phase distribution, and a continuous periodic function is used for replacing a traditional discontinuous function to design a phase function. The function is regulated and controlled by a plurality of parameters, has a larger regulation and control range and flexibility, and can obtain the artificial lens with single-focus enhanced performance by taking the additional focal power as a variable and designing according to performance requirements.
2. The invention superposes the designed smooth diffraction profile on the basic optical lens, can converge light beams to two extra focus positions on the premise of providing basic focal power, and performs certain focal depth expansion on the basis of obtaining a higher monofocal distance performance by reducing the additional focal power and regulating the capacity ratio to obtain the defined monofocal enhancement performance
3. The single-focus enhanced intraocular lens provided by the invention has a continuous and smooth profile, reduces the problem of error easily caused in the processing process, and reduces the difference between the theoretical design performance and the actual performance. Meanwhile, optical pollution phenomena such as light, stray light and the like can be reduced, and the total energy efficiency is stabilized to be more than 90%; thereby improving MTF measurement value and further improving the imaging quality after implantation.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings needed to be used in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings without inventive exercise.
FIG. 1 is a schematic diagram of a single focus enhanced intraocular lens with a smooth phase profile according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of a profile for single focus enhancement by base power and diffractive add power provided by an embodiment of the present invention;
FIG. 3 is a graph of the diffraction profile provided in example 1 of the present invention;
FIG. 4 is a through focus MTF graph provided in embodiment 1 of the present invention;
FIG. 5 is a graph of the diffraction profile provided in example 2 of the present invention;
FIG. 6 is a through focus MTF graph provided in embodiment 2 of the present invention;
wherein, 1-lens body, 2-anterior optical surface, 3-posterior optical surface, 4-diffraction profile, 5-support haptics, 6-low diffraction order, 7-medium diffraction order, 8-high diffraction order, 9-near focus, 10-intermediate focus, 11-far focus.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
In response to the problems noted in the background, the present invention provides a method and results for designing a single focus enhanced intraocular lens with a smooth phase profile. On the basis of using a smooth phase function, a diffraction profile is designed, and an optimal aspheric lens main body is superposed to obtain the single-focus enhanced intraocular lens. The phase function contains a plurality of parameters including additional focal power (regulated by the parameter T), and the artificial lens with single-focus enhanced performance is designed by utilizing larger regulation range and flexibility. The obtained design result is low in processing difficulty, and performance reduction caused by structural change due to processing is reduced; optical negative phenomena such as glare, stray light and the like are reduced; can provide better hyperopia performance and larger range intermediate visual range performance after being implanted into human eyes, and improves the postoperative visual quality of patients.
In order to realize the above content, the invention provides the following technical scheme:
a side view of a continuous phase distributed single focus enhanced intraocular lens, as shown in figure 1, has been magnified in magnification of the profile rise to characterize its diffraction profile. The artificial lens comprises a transparent lens body 1, wherein the transparent lens body 1 comprises two optical surfaces and at least two supporting lugs 5 connected with the effective optical part, the optical surfaces are an anterior optical surface 2 and a posterior optical surface 3 respectively, and any one of the optical surfaces comprises an additional diffraction profile 4. The diffraction profile 4 comprises a plurality of annular zones. The transparent lens body 1 provides a refractive focus, as shown in fig. 2, the additional diffraction profile 4 provides three consecutive diffraction orders including a low diffraction order 6, a medium diffraction order 7 and a high diffraction order 8, wherein:
the high diffraction order 8 corresponds to a near focus 9 for near vision, the intermediate diffraction order 7 corresponds to an intermediate focus 10 and the low diffraction order 6 corresponds to a far focus 11 for far vision.
The additional diffraction profile 4 generates diffraction effect on incident light beams to generate three focuses for convergence, as the set additional focal power value is limited in a smaller range, the focuses generated by each diffraction order are close to each other in the axial direction and coincide with each other in the focal depth in the optical axis direction, so that the continuous focal depth expanding performance is generated, and then the energy is concentrated on a far-viewing point 11 through performance regulation and control, and finally the single-focus enhanced performance intraocular lens is obtained.
The optical surfaces are even aspheric surfaces, and the profile height function of the even aspheric surfaces satisfies the following expression in a radial coordinate system:
in the formula: z (r) is a curve expression of the even aspheric surface in the direction of radius r, c is the reciprocal of the curvature radius of the even aspheric surface, k is the conic coefficient of the even aspheric surface, r is the radial distance of a point on the center of the even aspheric surface facing the surface, and alpha i Are aspheric high-order term coefficients.
The diffraction profile (4) satisfies the following expression:
in the formula: h (r) is an expression of the diffraction profile 4, λ is the design wavelength, n 2 Is the refractive index of the intraocular lens material, n 1 The refractive index of the medium surrounding the intraocular lens,
and designing a phase function corresponding to the diffraction profile (4).
The phase function corresponding to the diffraction profile satisfies the following expression:
in the formula:
a phase function corresponding to the diffraction profile 4; r is the radial distance of a point on the optical axial plane; po is the parameter used in the phase function for regulation; tan (titanium dioxide) -1 Is an arctangent function; sin is a sine function; alpha is a sine amplitude regulation parameter; amplitude modulation parameter with So being arctangent functionNumber in mm 2 (ii) a T is the phase function with respect to r 2 Period of (D) in mm 2 。
Preferably, the total surface profile of the even-order aspheric surface of the additional diffraction profile satisfies the following expression:
Z totol ＝Z(r)+h(r)；
in the formula: z totol The total surface profile height of the even-order aspheric surface of the additional diffraction profile; z (r) is the profile height of the even aspheric surface; h (r) is the diffraction profile height; r is the radial distance from a point on the optical axial plane.
Preferably, the parameter Po in the phase function is a constant ranging between 0.7 and 1.3, the parameter So is a constant ranging between 0 and T, the parameter Co is a constant ranging between-0.3 and 0.3, a is a constant ranging between 2.65 and 2.66, and T is the designed add power P d And (6) determining.
In some embodiments, the sine function in the phase function may be replaced by a continuous smooth function such as a cosine function, a parabola, a quadratic curve, a hyperbola, or any combination of these functions.
In some embodiments, the material of the intraocular lens may be hydrophobic acrylate, hydrophilic acrylate, or polymethylmethacrylate, and the refractive index of the material may be between 1.46 and 1.55. The design wavelength of the artificial lens is 550nm.
In some embodiments, the optical body is 0.8mm to 1.2mm thick, the optical body is 6mm in diameter, and the diffraction profile 4 is 5mm in diameter.
In some embodiments, the smooth phase distributed single focal enhancing intraocular lens is characterized in that the range of add powers of the intraocular lens is: -1.0D to +1.0D, the base power ranging from +10D to +30D.
In some embodiments, the base power of the intraocular lens is determined by the base profile and the add power of the intraocular lens is determined by a parameter T in the diffractive phase function, wherein the parameter T and the add power P d The relationship (unit is D) satisfies the following equationFormula (II):
the invention provides a single-focus enhanced intraocular lens with smooth phase distribution, which is described by the following embodiments in combination with the attached drawings from the process of setting design requirement parameters to the process of setting final design results:
example 1
The material of the intraocular lens is selected from a PMMA material with the refractive index of 1.482, the material of the supporting loop 5 connected with the effective optical part is the same, the design wavelength of the intraocular lens is 550nm, and the diffraction profile 4 is superposed on the back optical surface 3.
The base focal power of the single focus enhanced intraocular lens is designed to be +20D, the additional focal power is-0.5D and +0.5D.
The even-order aspheric lens body 1 with the corresponding base focal power of +20D is obtained by optimization in the optical design software Zemax. The even-order aspheric lens obtained by optimization is a biconvex lens with the diameter of 6mm, the effective optical area of 5mm and the center thickness of 0.9 mm. Wherein the radius of curvature of the front optical surface 2 is 14.550mm, K = -18.808, 2-order even-order aspheric coefficient alpha 2 =4.280E-04. The radius of curvature of the rear optical surface 3 is-14.561mm, k =0.
The ratio of the performance of each focus position of the single focus enhanced intraocular lens design is set to 0.6:0.2:0.2 (far: medium: near), add power 0.5D, i.e., T =2.2mm 2 . Phase design parameters obtained after optimization design: po =0.8130, so =0.400, co = -0.400. The diffraction profile of the phase function with the parameter combinations is shown in fig. 3.
And inputting the optimized parameters Po, so, co results, the additional focal power and the like to obtain the single-focus enhanced intraocular lens with smooth phase distribution.
The performance of the designed single focus enhanced intraocular lens is further researched and analyzed, and the specific characteristics are as follows:
the designed single-focus enhanced intraocular lens is placed in an eye model for defocusing analysis, and an MTF defocusing curve (3 mm pupil, 50 lp/mm) is drawn, so that the result is shown in fig. 4, the intraocular lens can be seen to embody good single-focus enhancing performance, the far focus embodies a higher MTF value and is close to the numerical value of the single-focus intraocular lens, meanwhile, a certain focal depth expansion is realized on the middle visual range, the good single-focus enhancing performance is integrally embodied, and the design requirements of providing excellent far-distance vision and large-range visual range after implantation are met.
Example 2
The material of the intraocular lens is selected from a PMMA material with the refractive index of 1.482, the material of the supporting loop 5 connected with the effective optical part is the same, the design wavelength of the intraocular lens is 550nm, and the diffraction profile 4 is superposed on the back optical surface 3.
The base focal power of the single focus enhanced intraocular lens is designed to be +20D, the additional focal power is-0.55D and +0.55D.
The even-order aspheric lens body 1 with the corresponding base focal power of +20D is obtained by optimization in the optical design software Zemax. The even-order aspheric lens obtained by optimization is a biconvex lens with the diameter of 6mm, the effective optical area of 5mm and the center thickness of 0.9 mm. Wherein the curvature radius of the front optical surface 2 is 13.430mm, K = -18.808, even-order aspheric coefficient alpha of 2 order 2 =4.280E-04. The radius of curvature of the rear optical surface 3 is-15.888mm, k =0.
The ratio of the performance of each focus position of the single focus enhanced intraocular lens design is set to be 0.5:0.25:0.25 (far: medium: near), add power 0.50D, i.e. T =2.2mm 2 . Phase design parameters obtained after optimization design: po =1.150, so =0.430, co =0.260. The diffraction profile of the phase function with the parameter combinations is shown in fig. 5.
And inputting the optimized parameters Po, so, co results, the additional focal power and the like to obtain the single-focus enhanced intraocular lens with smooth phase distribution.
The performance of the designed single focus enhanced intraocular lens was further studied and analyzed as follows:
the designed single-focus enhanced intraocular lens is placed in an eye model for defocus analysis, an MTF defocus curve (3 mm pupil, 50 lp/mm) is drawn, and as a result, as shown in fig. 6, the intraocular lens shows that although the performance of the intraocular lens at the distance visual range is reduced, the performance change transition area is smoother in the subsequent extended focal depth range, the requirement of excellent distance visual range performance and certain focal depth extension at the intermediate visual range is met, and the intraocular lens integrally shows good single-focus enhancement performance.
The single-focus enhanced intraocular lens with smooth phase distribution provided by the invention designs the diffraction profile by using the smooth and continuous phase function, and on the basis of providing single-focus enhanced performance, the diffraction profile is smooth and continuous, the processing difficulty is low, the performance is not easy to be reduced due to the processing problem, the influence of the polishing process on the surface type of the diffraction profile is reduced, the performance of a final finished product is ensured, and the processing cost is favorably reduced.
The foregoing shows and describes the general principles, principal features and advantages of the invention. It will be understood by those skilled in the art that the present invention is not limited to the embodiments described above, which are described in the specification and illustrated only to illustrate the principle of the present invention, but that various changes and modifications may be made therein without departing from the spirit and scope of the present invention, which fall within the scope of the invention as claimed. The scope of the invention is defined by the appended claims and equivalents thereof.
Claims (10)
1. A single focus enhanced intraocular lens with a smooth phase profile comprising:
a lens body, a support tab;
wherein the lens body comprises optical surfaces, wherein the optical surfaces comprise a first optical surface, a second optical surface; a diffraction profile is disposed on the first optical surface or the second optical surface, wherein the diffraction profile comprises a number of annular zones, wherein the diffraction profile satisfies a smooth phase profile.
2. The single focus enhanced intraocular lens with a smooth phase profile of claim 1, wherein:
the total surface profile height of the optical surface provided with a diffraction profile satisfies the following formula:
Z totol ＝Z(r)+h(r)
wherein, Z totol The total surface profile height of the optical surface of the additional diffraction profile; z (r) is the profile height of the even aspheric surface; h (r) is the diffraction profile height; r is the radial distance from a point on the optical axial plane.
3. The single focus enhanced intraocular lens with a smooth phase profile of claim 2, wherein:
the base surface types of the optical surface are even aspheric surfaces, wherein the profile height function of the even aspheric surfaces satisfies the following formula:
in the formula: z (r) is a curve expression of the even-order aspheric surface in the direction of radius r, c is the reciprocal of the curvature radius of the even-order aspheric surface, k is the conic coefficient of the even-order aspheric surface, r is the radial distance of a point on the central facing surface of the even-order aspheric surface, and alpha i Are aspheric high-order term coefficients.
4. The single focus enhanced intraocular lens with a smooth phase profile of claim 2, wherein:
the diffraction profile satisfies the following formula:
in the formula: h (r) is an expression of the diffraction profile (4), λ is the design wavelength, n 2 Is the refractive index of the intraocular lens material, n 1 The refractive index of the medium surrounding the intraocular lens, phi (r), is the designed phase function corresponding to the diffraction profile.
5. The single focus enhanced intraocular lens with a smooth phase profile of claim 4, wherein:
the phase function satisfies the following equation:
in the formula: phi (r) is a phase function corresponding to the diffraction profile (4); r is the radial distance of a point on the optical axial plane; po is the parameter used in the phase function for regulation; tan (r) is -1 Is an arctangent function; sin is a sine function; alpha is a sine amplitude regulation parameter; so is the amplitude regulation parameter of the arc tangent function; co is a regulating parameter of the phase function for the performance proportion between focal planes; t is the phase function with respect to r 2 The period of (c).
6. The single focus enhanced intraocular lens with a smooth phase profile of claim 5, wherein:
the phase function further comprises using one or more of a cosine function, a parabola, a quadratic curve function or a hyperbolic function to achieve a smooth phase profile, and the diffraction profile obtained on the basis of the smooth phase profile further comprises performing segmentation or apodization.
7. The single focus enhanced intraocular lens with a smooth phase profile of claim 1, wherein:
the lens main body adopts hydrophobic acrylate, hydrophilic acrylate or polymethyl methacrylate, wherein the design wavelength of the lens main body is 550nm.
8. The single focus enhanced intraocular lens with a smooth phase profile of claim 1, wherein:
the thickness of the lens main body is 0.6mm-1.2mm, the diameter of the lens main body is 6mm, and the diameter of the diffraction profile is 5mm.
9. The single focus enhanced intraocular lens with a smooth phase profile of claim 1, wherein:
the range of the additional focal power of the artificial lens is-1.0D- +1.0D. The range of the basic focal power of the artificial lens is +10D to +30D. The single-focus enhancing performance refers to the expansion of a certain intermediate visual range focal depth on the basis of the performance of the similar hyperopic single-focus artificial lens.
10. The single focus enhanced intraocular lens with a smooth phase profile of claim 1, wherein:
the base optical power of the artificial lens is determined by the base surface type, the additional optical power of the artificial lens is determined by a parameter T in the diffraction phase function, wherein the parameter T and the additional optical power P d Satisfies the following formula:
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