Systems and methods for vergence matching of an intraocular lens with refractive index writing
Systems and methods for improving vision of a subject implanted with an intraocular lens (IOL). In some embodiments, a method for vergence matching includes calculating vergence of a wave after refraction on a surface of an IOL and, based on an estimated curvature, converting an initial phase map into a vergence-matched phase map, such that the initial phase map follows the curved vergence of the wavefront.
1. A system for improving vision of a subject, comprising:
a pulsed radiation system configured to apply, by refractive index writing, a plurality of pulses of radiation to at least one selected area of an intraocular lens (IOL) implanted in an eye of a subject, according to a predetermined pattern; and
a control system coupled to the pulsed radiation system and configured to control the pulsed radiation system and to perform functions that comprise:
determining a desired phase map for producing, by refractive index writing, a phase change in an IOL implanted in an eye of a subject, the IOL having an anterior surface and a posterior surface;
calculating vergence of a wave after refraction on the anterior surface of the IOL for a desired wavelength design;
calculating propagation of a corresponding wavefront to the plane of the refractive index writing within the IOL;
estimating curvature of the wavefront in the plane of the refractive index writing; and
based on the estimated curvature, converting an initial phase map into a vergence-matched three-dimensional (3D) phase map, such that the initial phase map follows the curved vergence of the wavefront.
2. The system of claim 1 , wherein propagation of the wavefront is calculated by performing functions that comprise:
taking an object at infinity;
imaging through the individual cornea of the patient;
propagating the wavefront to the anterior surface of the IOL based on a measured distance between the cornea of the patient and the anterior surface of the IOL, the shape of the anterior surface of the IOL, and the refractive index of the IOL;
imaging through the anterior surface of the IOL; and
propagating the wavefront to the plane inside the IOL to an area where the refractive index writing is to be performed.
3. The system of claim 2 , comprising matching the vergence with a baseline surface wherein the zero-level of the refractive index pattern is written.
4. The system of claim 1 , wherein a model of an average cornea and/or average anterior chamber depth (ACD) is used to calculate the vergence.
5. The system of claim 1 , wherein a model of an average IOL design for a particular power is used to calculate the vergence.
6. The system of claim 1 , wherein the shape of the anterior surface of the IOL is estimated using optical coherence tomography (OCT) imaging.
7. The system of claim 1 , wherein the vergence matching accounts for rotational and non-rotational optical effects by creating a two-dimensional function, wherein vergence is determined by meridian.
8. The system of claim 1 , wherein the control system is further configured to control the pulsed radiation system to create an angulated phase addition, wherein at each point on a target surface of the IOL, a phase addition is written, by the refractive index writing, with a depth perpendicular to the calculated vergence.
9. The system of claim 8 , wherein the phase addition has a predetermined depth perpendicular to the calculated vergence.