Methods of obtaining ophthalmic lenses providing the eye with reduced aberrations

• US 6,609,793 B2
• Filed: 05/23/2001
• Issued: 08/26/2003
• Est. Priority Date: 05/23/2000
• Status: Expired due to Term

• Current Assignee: Amo Groningen B.V (Johnson & Johnson)
• Original Assignee: Pharmacia Groningen BV
• Inventors: Norrby, Sverker, Piers, Patricia Ann, Van Der Mooren, Marrie, Artal, Pablo
• Primary Examiner(s): MANUEL, GEORGE C
• Application Number:
  US09/863,546
• Publication Number:
  US 20020105617A1
• Time in Patent Office: 825 Days
• Field of Search: 351/205, 351/211, 351/212, 351/216, 351/219, 351/246, 351/247, 351/160.R, 351/161, 623/6.32
• US Class Current: 351/212
• CPC Class Codes: A61B 3/0025 characterised by electronic signal processing, e.g. eye models
• CPC Class Codes: A61F 2/1613 having special lens configurations, e.g. multipart lenses; having particular optical properties, e.g. pseudo-accommodative lenses, lenses having aberration corrections, diffractive lenses, lenses for variably absorbing electromagnetic radiation, lenses having variable focus
• CPC Class Codes: A61F 2/1637 Correcting aberrations caused by inhomogeneities; correcting intrinsic aberrations, e.g. of the cornea, of the surface of the natural lens, aspheric, cylindrical, toric lenses
• CPC Class Codes: A61F 2240/002 Designing or making customized prostheses
• CPC Class Codes: G02C 2202/06 Special ophthalmologic or optometric aspects
• CPC Class Codes: G02C 2202/22 Correction of higher order and chromatic aberrations, wave front measurement and calculation
• CPC Class Codes: G02C 7/02 Lenses; Lens systems ; Methods of designing lenses
• CPC Class Codes: G02C 7/028 Special mathematical design techniques

Abstract

The present invention discloses methods of obtaining ophthalmic lens capable of reducing the aberrations of the eye comprising the steps of characterizing at least one corneal surface as a mathematical model, calculating the resulting aberrations of said corneal surface(s) by employing said mathematical model, selecting the optical power of the intraocular lens. From this information, an ophthalmic lens is modeled so a wavefront arriving from an optical system comprising said lens and corneal model obtains reduced aberrations in the eye. Also disclosed are ophthalmic lenses as obtained by the methods which are capable reducing aberrations of the eye.

Claims

1. A method of designing an intraocular lens capable of reducing aberrations of the eye after its implantation, comprising the steps of:

(i) characterizing at least one corneal surface as a mathematical model;

(ii) calculating the resulting aberrations of said corneal surface(s) by employing said mathematical model;

(iii) selecting the optical power of the intraocular lens;

(iv) modeling an intraocular lens such that a wavefront arriving from an optical system comprising said lens and corneal model obtains reduced aberrations.

2. A method according to claim 1, comprising determining the resulting aberrations of said corneal surface(s) in a wavefront having passed said cornea.

3. A method according to claim 1 wherein said corneal surface(s) is(are) characterized in terms of polynomials.

4. A method according to claim 3, wherein said corneal surface(s) is(are) characterized in terms of a linear combination of polynomials.

5. A method according to claim 3, wherein an optical system comprising said corneal model and modeled intraocular lens provides for wavefront substantially reduced from aberrations as expressed by at least one of said polynomials.

6. A method according to claim 1, wherein said optical system further comprises complementary means for optical correction, such as spectacles or an ophthalmic correction lens.

7. A method according to claim 1, wherein estimations of corneal refractive power and axial eye length designate the selection of lens optical power.

8. A method according to claim 1, wherein modeling the intraocular lens includes selecting the anterior radius and surface of the lens, the posterior radius and surface of the lens, lens thickness and refractive index of the lens.

9. A method according to claim 1 including characterizing the front corneal surface of an individual by means of topographical measurements and expressing the corneal aberrations as a combination of polynomials.

56. An ophthalmic lens obtained in accordance with claim 1, capable of transferring a wavefront having passed through the cornea of the eye into a substantially spherical wavefront having its center in the retina of the eye.

10. A method of selecting an intraocular lens that is capable of reducing aberrations of the eye after its implantation comprising the steps of:

(i) characterizing at least one corneal surface as a mathematical model;

(ii) calculating the resulting aberrations of said corneal surface(s) by employing said mathematical model;

(iii) selecting an intraocular lens having a suitable optical power from a plurality of lenses having the same power, but different aberrations;

(iv) determining if an optical system comprising said selected lens and corneal model sufficiently reduces the aberrations.

11. A method according to claim 10, comprising determining the resulting aberrations of said corneal surface(s) in a wavefront having passed said cornea.

12. A method according to claim 10 further comprising the steps of:

(v) calculating the aberrations of a wave front arriving from an optical system of said selected lens and corneal model;

(vi) determining if said selected intraocular lens has provided a sufficient reduction in aberrations in a wavefront arriving from said optical system; and

optionally repeating steps (iii) and (iv) by selecting at least one new lens having the same optical power until finding a lens capable of sufficiently reducing the aberrations.

13. A method according to claim 10, wherein said optical system further comprises complementary means for optical correction.

14. A method according to claim 10, wherein said corneal surface(s) is(are) characterized in terms of a conoid of rotation.

15. A method according to claim 10 wherein said corneal surface(s) is(are) characterized in terms of polynomials.

16. A method according to claim 15, wherein said corneal surface(s) is(are) characterized in terms of a linear combination of polynomials.

17. A method according to claim 15 wherein an optical system comprising said corneal model and selected intraocular lens provides for a wavefront substantially reduced from aberrations as expressed by at least one of said polynomials.

18. A method according to claim 17, wherein said polynomials are Seidel or Zernike polynomials.

19. A method according to claim 18, comprising the steps of:

(i) expressing the corneal aberrations as a linear combination of Zernike polynomials;

(ii) determining the corneal Zernike coefficients;

(iii) selecting the intraocular lens such that an optical system comprising said lens and cornea provides a wavefront having a sufficient reduction in Zernike coefficients.

20. A method according to claim 19, further comprising the steps of:

(iv) calculating the Zernike coefficients resulting from an optical system comprising the modeled intraocular lens and cornea;

(v) determining if said intraocular lens has provided a reduction of Zernike coefficients; and

optionally selecting a new lens until a sufficient reduction is said coefficients is obtained.

21. A method according to claim 19, comprising determining Zernike polynomials up to the 4th order.

22. A method according to claim 21 comprising sufficiently reducing Zernike coefficients referring to spherical aberration.

23. A method according to claim 22 comprising sufficiently reducing Zernike coefficients above the fourth order.

24. A method according to claim 22 comprising sufficiently reducing the 11th Zernike coefficient of a wavefront front from an optical system comprising model cornea and said selected intraocular lens, so as to obtain an eye sufficiently free from spherical aberration.

25. A method according to claim 10, wherein corneal refractive power and axial eye length estimations designate the selection of lens optical power.

26. A method according to claim 10 including characterizing the front corneal surface of an individual by means of topographical measurements and expressing the corneal aberrations as a combination of polynomials.

27. A method according to claim 26 including characterizing front and rear corneal surfaces of an individual by means of topographical measurements and expressing the total corneal aberrations as a combination of polynomials.

28. A method according to claim 26 comprising selecting a intraocular lens such that an optical system comprising said intraocular lens and cornea provides reduction of spherical aberration terms as expressed in Seidel or Zernike polynomials in a wave front having passed through the system.

29. A method according to claim 26, wherein reduction in higher aberration terms is accomplished.

30. A method according to claim 10, including characterizing corneal surfaces of a selected population and expressing average corneal aberrations of said population as a combination of polynomials.

31. A method according to claim 10 characterized by selecting an intraocular lens from a kit comprising lenses with a suitable power range and within each power range a plurality of lenses having different aberrations.

32. A method according to claim 31, wherein said aberrations are spherical aberrations.

33. A method according to claim 31, wherein said lenses within each power range have surfaces with different aspheric components.

34. A method according to claim 33, wherein said surfaces are the anterior surfaces.

35. A method of designing an ophthalmic lens suitable for implantation into the eye, characterized by the steps of:

selecting a representative group of patients;

collecting corneal topographic data for each subject in the group;

transferring said data to terms representing the corneal surface shape of each subject for a preset aperture size;

calculating a mean value of at least one corneal surface shape term of said group, so as to obtain at least one mean corneal surface shape term and/or calculating a mean value of at least one to the cornea corresponding corneal wavefront aberration term, each corneal wavefront aberration term being obtained by transformation through corneal surface shape terms;

from said at least one mean corneal surface shape term or from said at least one mean corneal wavefront aberration term designing an ophthalmic lens capable of reducing said at least one mean wavefront aberration term of the optical system comprising cornea and lens.

36. Method according to claim 35, characterized in that it further comprises the steps of:

designing an average corneal model for the group of people from the calculated at least one mean corneal surface shape term or from the at least one mean corneal wavefront aberration term;

checking that the designed ophthalmic lens compensates correctly for the at least one mean aberration term by measuring these specific aberration terms of a wavefront having traveled through the model average cornea and the lens and redesigning the lens if said at least one aberration term not has been sufficiently reduced in the measured wavefront.

37. Method according to claim 35, comprising calculating surface descriptive constant for the lens to be designed from the mean corneal surface shape terms or from the mean corneal wavefront aberration terms for a predetermined radius.

38. Method according to claim 35, comprising selecting people in a specific age interval to constitute the group of people.

39. Method according to claim 35, comprising selecting people who will undergo cataract surgery to constitute the group of people.

40. Method according to claim 35, comprising designing the lens specifically for a patient that has undergone corneal surgery and therefore selecting people who have undergone corneal surgery to constitute the group of people.

41. Method according to claim 35, comprising selecting people who have a specific ocular disease to constitute the group of people.

42. Method according to claim 35, comprising selecting people who have a specific ocular optical defect to constitute the group of people.

43. Method according to claim 35, further comprising the steps of:

measuring the at least one wavefront aberration term of one specific patient'"'"'s cornea;

determining if the selected group corresponding to this patient is representative for this specific patient and if this is the case implant the lens designed from these average values and if this is not the case implant a lens designed from average values from another group or design an individual lens for this patient.

44. Method according to claim 35, comprising providing the lens with at least one nonspheric surface that reduces at least one aberration term of an incoming nonspheric wavefront.

45. Method according to claim 44, characterized in that said aberration term is a positive spherical aberration term.

46. Method according to claim 35, comprising providing the lens with at least one nonspheric surface that reduces at least one term of a Zernike polynomial representing the aberration of an incoming nonspheric wavefront.

47. Method according to claim 46, characterized by providing the lens with at least one nonspheric surface that reduces the 11^th normalized Zernike term representing the spherical aberration of an incoming nonspheric wavefront.

48. Method according to claim 35, comprising designing a lens to reduce spherical aberration in a wavefront arriving from an average corneal surface having the formula:

$z=\frac{\left(1/R\right)<br><br>r^2}{1+\sqrt{I-{\left(\frac{1}{R}\right)}^2<br><br>\left(\mathrm{CC}+1\right)<br><br>r^2}}+{\mathrm{adr}}^4+{\mathrm{aer}}^6$

wherein the conical constant cc has a value ranging between −

1 and 0, R is the central lens radius and ad and ae are aspheric constants.

49. A method according to claim 48, wherein the conical constant (cc) ranges from about −

0.05 for an aperture size (pupillary diameter) of 4 mm to about −

0.18 for an aperture size of 7 mm.

50. Method according to claim 48, characterized by providing the lens with a surface described by a modified conoid having a conical constant (cc) less than 0.

51. Method according to claim 35, comprising providing the lens with a, for the patient, suitable refractive power, this determining the radius of the lens.

52. Method according to claim 35, comprising designing the lens to balance the spherical aberration of a cornea that has a Zernike polynomial coefficient representing spherical aberration of the wavefront aberration with a value in the interval from 0.000156 mm to 0.001948 mm for a 3 mm aperture radius using polynomials expressed in OSLO format.

53. Method according to claim 35, comprising designing the lens to balance the spherical aberration of a cornea that has a Zernike polynomial coefficient representing spherical aberration of the wavefront aberration with a value in the interval from 0.000036 mm to 0.000448 mm for a 2 mm aperture radius using polynomials expressed in OSLO format.

54. Method according to claim 35, comprising designing the lens to balance the spherical aberration of a cornea that has a Zernike polynomial coefficient representing spherical aberration of the wavefront aberration with a value in the interval from 0.0001039 mm to 0.0009359 mm for a 2.5 mm aperture radius using polynomials expressed in OSLO format.

55. Method according to claim 35, comprising designing the lens to balance the spherical aberration of a cornea that has a Zernike polynomial coefficient representing spherical aberration of the wavefront aberration with a value in the interval from 0.000194 mm to 0.00365 mm for a 3.5 mm aperture radius using polynomials expressed in OSLO format.

57. A method of designing an intraocular lens capable of reducing aberrations of the eye after its implantation, comprising:

(i) characterizing at least one corneal surface as a mathematical model in terms of a conoid of rotation;

(ii) calculating the resulting aberrations of said corneal surface(s) by employing said mathematical model;

(iii) selecting the optical power of the intraocular lens; and

(iv) modeling an intraocular lens such that a wavefront arriving from an optical system comprising said lens and corneal model obtains reduced aberrations.

58. A method of designing an intraocular lens capable of reducing aberrations of the eye after its implantation, comprising:

(i) characterizing at least one corneal surface as a mathematical model;

(ii) calculating the resulting aberrations of said corneal surface(s) by employing said mathematical model;

(iii) selecting the optical power of the intraocular lens; and

(iv) modeling an intraocular lens such that a wavefront arriving from an optical system comprising said lens and corneal model obtains reduced aberrations,

wherein modeling the intraocular lens includes selecting the anterior radius and surface of the lens, the posterior radius and surface of the lens, lens thickness and refractive index of the lens, and wherein the aspheric component of the anterior surface is selected while the model lens has predetermined central radii, lens thickness and refractive index.

59. A method of designing an intraocular lens capable of reducing aberrations of the eye after its implantation, comprising:

(i) characterizing at least one corneal surface as a mathematical model, including characterizing front and rear corneal surfaces of an individual by means of topographical measurements;

(ii) calculating the resulting aberrations of said corneal surface(s) by employing said mathematical model and expressing the total corneal aberrations as a combination of polynomials;

(iii) selecting the optical power of the intraocular lens; and

(iv) modeling an intraocular lens such that a wavefront arriving from an optical system comprising said lens and corneal model obtains reduced aberrations.

60. A method of designing an intraocular lens capable of reducing aberrations of the eye after its implantation, comprising:

(i) characterizing corneal surfaces of a selected population as a mathematical model;

(ii) calculating the resulting aberrations of said corneal surface(s) by employing said mathematical model and expressing average corneal aberrations of said population as a combination of polynomials;

(iii) selecting the optical power of the intraocular lens; and

(iv) modeling an intraocular lens such that a wavefront arriving from an optical system comprising said lens and corneal model obtains reduced aberrations.

61. A method of designing an intraocular lens capable of reducing aberrations of the eye after its implantation, comprising:

(i) characterizing at least one corneal surface as a mathematical model;

(ii) calculating the resulting aberrations of said corneal surface(s) by employing said mathematical model;

(iii) selecting the optical power of the intraocular lens;

(iv) modeling an intraocular lens such that a wavefront arriving from an optical system comprising said lens and corneal model obtains reduced aberrations;

(v) calculating the aberrations resulting from an optical system comprising said modeled intraocular lens and cornea; and

(vi) determining if the modeled intraocular lens has provided sufficient reduction in aberrations; and

optionally remodeling the intraocular lens until a sufficient reduction is obtained.

62. A method according to claim 61, wherein said aberrations are expressed as a linear combination of polynomials.

63. A method according to claim 62, wherein the re-modeling includes modifying one or several of the anterior surface and curvature, the posterior radius and surface, lens thickness and refractive index of the lens.

64. A method of designing an intraocular lens capable of reducing aberrations of the eye after its implantation, comprising:

(i) characterizing at least one corneal surface as a mathematical model in terms of Seidel or Zernike polynomials;

(ii) calculating the resulting aberrations of said corneal surface(s) by employing said mathematical model;

(iii) selecting the optical power of the intraocular lens; and

(iv) modeling an intraocular lens such that a wavefront arriving from an optical system comprising said lens and corneal model obtains reduced aberrations.

65. A method according to claim 64, comprising the steps of:

(i) expressing the corneal aberrations as a linear combination of Zernike polynomials;

(ii) determining the corneal wavefront Zernike coefficients; and

(iii) modeling the intraocular lens such that an optical system comprising said model lens and cornea provides a wavefront having a sufficient reduction of Zernike coefficients.

66. A method according to claim 65, further comprising the steps of:

(iv) calculating the Zernike coefficients of a wavefront resulting from an optical system comprising the modeled intraocular lens and cornea;

(v) determining if said intraocular lens has provided a sufficient reduction of Zernike coefficients, and optionally re-modeling said lens until a sufficient reduction is said coefficients are obtained.

67. A method according to claim 66, comprising sufficiently reducing Zernike coefficients referring to spherical aberration.

68. A method according to claim 67 comprising sufficiently reducing the 11th Zernike coefficient of a wavefront front from an optical system comprising cornea and said modeled intraocular lens, so as to obtain an eye sufficiently free from spherical aberration.

69. A method according to claim 66 comprising sufficiently reducing Zernike coefficients referring to aberrations above the fourth order.

70. A method according to claim 66, wherein the re-modeling includes modifying one or several of the anterior radius and surface, the posterior radius and surface, lens thickness and refractive index of the lens.

71. A method according to claim 70, comprising modifying the anterior surface of the lens until a sufficient reduction in aberrations is obtained.

72. A method according to claim 64, comprising modeling a lens such that an optical system comprising said model of intraocular lens and cornea provides reduction of spherical and cylindrical aberration terms as expressed in Seidel or Zernike polynomials in a wave front having passed through the system.

73. A method according to claim 72, obtaining a reduction in higher aberration terms.

74. A method of designing an intraocular lens capable of reducing aberrations of the eye after its implantation, comprising:

(i) characterizing corneal surfaces of a selected population and expressing each cornea as a linear combination of polynomials;

(ii) comparing polynomial coefficients between individual corneas;

(iii) selecting one nominal coefficient value from an individual cornea; and

(iv) modeling a lens such that a wavefront arriving from an optical system comprising said lens and individual cornea sufficiently reduces said nominal coefficient value.

75. A method according to claim 74, wherein said polynomial coefficient refers to the Zernike aberration term expressing spherical aberration.

76. A method according to claim 74, wherein said nominal coefficient value is the lowest within the selected population.