Supporting quadric method for designing refractive optical elements generating prescribed irradiance distributions and wavefronts
Dmitry A. Bykov, Leonid L. Doskolovich, Egor V. Byzov, Evgeni A. Bezus, Nikolay L. Kazanskiy
Abstract
We propose a method for designing a refractive optical element with two working surfaces transforming an incident beam with a plane wavefront into an output beam with prescribed irradiance distribution and a non-planar wavefront. The presented method generalizes the supporting quadric method [Opt. Express28, 22642 (2020)10.1364/OE.398990] proposed for collimated beam shaping to the case of a non-planar output wavefront. The method is simple to implement and is based on just a few main equations. We present several examples of designing optical elements (including elements with piecewise-smooth optical surfaces) generating light beams with prescribed irradiance distributions and wavefronts (spherical and aspherical). The examples demonstrate high performance of the method.