Compound modulation transfer function for laser surgery and other optical applications
Methods, devices, and systems establish an optical surface shape that mitigates or treats a vision condition in a patient. An optical surface shape for a particular patient can be determined using a set of patient parameters for the specific patient by using a compound modulation transfer function (CMTF). The compound modulation transfer function can include a combination of modulation transfer functions (MTF's) at a plurality of distinct frequencies.
1. A system for establishing an optical surface shape that mitigates or treats a vision condition of an eye in a particular patient, the system comprising:
an input that accepts a set of patient parameters; and
a module comprising a tangible non-transitory medium embodying machine-readable code that determines an optical surface shape for the particular patient based on the set of patient parameters, using a composite optical metric,
wherein the composite optical metric comprises a first compound modulation transfer function (CMTF) parameter and a second parameter, the first parameter based on a CMTF comprising a combination of modulation transfer functions (MTF's) at a plurality of distinct frequencies.
2. The system according to claim 1 , wherein the second parameter is selected from the group consisting of a Strehl Ratio (SR) parameter, a modulation transfer function (MTF) parameter, a point spread function (PSF) parameter, an encircled energy (EE) parameter, a volume under MTF surface (VMTF) parameter, and a contrast sensitivity (CS) parameter.
3. The system according to claim 2 , wherein the composite optical metric comprises individual weighting functions associated with respective individual parameters of the composite optical metric.
4. The system according to claim 3 , wherein the composite optical metric comprises a number of parameters n, wherein the composite optimal metric is representable by the formula
m
(
l
)
=
∑
i
=
1
n
k
i
M
i
(
l
)
wherein m(l) is the composite optical metric, l is a vergence, k i is a weighting function for an ith optical metric M i (l), and wherein the compound modulation transfer function (CMTF) parameter and the second parameter are each members of the n parameters.
5. The system according to claim 3 , wherein at least one of the weighting functions is a constant.
6. The system according to claim 3 , wherein at least one of the weighting functions is a two-dimensional function.
7. The system according to claim 3 , wherein at least one of the weighting functions is a two dimensional function having polar coordinates.
8. The system according to claim 3 , wherein at least one of the weighting functions is a two dimensional function having Cartesian coordinates.
9. The system according to claim 1 , wherein the optical surface shape is configured to provide a presbyopia prescription treatment to the eye.
10. The system according to claim 1 , further comprising a module comprising a tangible non-transitory medium embodying machine-readable code that identifies a prescription for the eye based on the gauge of optical quality, wherein the prescription comprises a member selected from the group consisting of a contact lens prescription, a spectacle prescription, an intra-ocular lens prescription, a laser photoalteration prescription, a corneal inlay prescription, and a conductive keratoplasty prescription.
11. The system according to claim 1 , wherein the compound modulation transfer function (CMTF) parameter is based on a polychromatic point spread function.
12. A method for treating or mitigating a vision condition of an eye in a particular patient, the method comprising:
inputting a patient parameter specific for the particular patient;
determining an optical surface shape for the particular patient using the patient parameter specific for the particular patient with a composite optical metric; and
mitigating or treating the vision condition of the eye in the patient by administering to the patient a procedure selected from the group consisting of:
ablating a corneal surface of the patient to provide a corneal surface shape that corresponds to the optical surface shape, providing the patient with a contact lens or spectacle lens having a shape that corresponds to the optical surface shape, and providing the patient with an intra-ocular lens having a shape that corresponds to the optical surface shape;
wherein the composite optical metric comprises a first compound modulation transfer function (CMTF) parameter and a second parameter, the first parameter based on a CMTF comprising a combination of modulation transfer functions (MTF's) at a plurality of distinct frequencies.
13. The method according to claim 12 , wherein the second parameter comprises a member selected from the group consisting of a Strehl Ratio (SR) parameter, a modulation transfer function (MTF) parameter, a point spread function (PSF) parameter, an encircled energy (EE) parameter, a volume under MTF surface (VMTF) parameter, and a contrast sensitivity (CS) parameter.
14. The method according to claim 13 , wherein the composite optical metric comprises individual weighting functions associated with respective individual parameters of the composite optical metric.
15. The method according to claim 13 , wherein the composite optical metric comprises a number of parameters n, wherein the composite optimal metric is representable by the formula
m
(
l
)
=
∑
i
=
1
n
k
i
M
i
(
l
)
wherein m(l) is the composite optical metric, l is a vergence, k i is a weighting function for an ith optical metric M i (l), and wherein the compound modulation transfer function (CMTF) parameter and the second parameter are each members of the n parameters.
16. The method according to claim 12 , wherein the optical surface shape is configured to provide a presbyopia prescription treatment to the eye.
17. A system for evaluating the optical quality of an optical system of a patient, comprising:
an input that accepts a set of parameters associated with the patient; and
a module comprising a tangible non-transitory medium embodying machine-readable code that evaluates the optical quality of the optical system of the patient based on the set of parameters using a composite optical metric,
wherein the composite optical metric comprises a first compound modulation transfer function (CMTF) parameter and a second parameter, the first parameter based on a CMTF comprising a combination of modulation transfer functions (MTF's) at a plurality of distinct frequencies.
18. The system according to claim 17 , wherein the composite optical metric comprises individual weighting functions associated with respective individual parameters of the composite optical metric.
19. The system according to claim 17 , wherein the composite optical metric comprises a number of parameters n, wherein the composite optimal metric is representable by the formula
m
(
l
)
=
∑
i
=
1
n
k
i
M
i
(
l
)
wherein m(l) is the composite optical metric, l is a vergence, k i is a weighting function for an ith optical metric M i (l), and wherein the compound modulation transfer function (CMTF) parameter and the second parameter are each members of the n parameters.
20. The system according to claim 17 , wherein the optical system of the patient comprises an intra-ocular lens.