Systems and methods for vergence matching with an optical profile and using refractive index writing

A method of vergence matching for an intraocular lens (IOL) having an optical profile induced by refractive index writing, the method comprising:

• determining the direction of a plurality of rays associated with a vergence of a wavefront;
• determining the ray direction and ray height of a plurality of rays entering a first location of the optical profile;
• determining the refractive index of the optical profile at the first location;
• based on the determined ray direction, ray height, and refractive index at the first location, and by refractive index writing, specifying the volume and shape of each voxel to match the wavefront through the direction of propagation;
• bending anterior and posterior surfaces of the optical profile such that rays inside a portion of the IOL changed by refractive index writing and outside a portion of the IOL changed by refractive index writing do not change direction;
• and
• determining a second location that, for each of the rays, corresponds to the location where the respective ray exits the optical profile changed by refractive index writing.