Numerical reconstruction of optical surfaces.

Abstract

There are several problems in optics that involve the reconstruction of surfaces such as wavefronts, reflectors, and lenses. The reconstruction problem often leads to a system of first-order differential equations for the unknown surface. We compare several numerical methods for integrating differential equations of this kind. One class of methods involves a direct integration. It is shown that such a technique often fails in practice. We thus consider one method that provides an approximate direct integration; we show that it is always converging and that it provides a stable, accurate solution even in the presence of measurement noise. In addition, we consider a number of methods that are based on converting the original equation into a minimization problem.

Cite this paper

@article{Nam2008NumericalRO, title={Numerical reconstruction of optical surfaces.}, author={Jayoung Nam and Jacob Rubinstein}, journal={Journal of the Optical Society of America. A, Optics, image science, and vision}, year={2008}, volume={25 7}, pages={1697-709} }