info:eu-repo/semantics/article
Fresnel-Gaussian Shape Invariant for Optical Ray Tracing
Autor
MOISES CYWIAK GARBARCEWICZ
ARQUIMEDES ALONSO MORALES ROMERO
JORGE MAURICIO FLORES MORENO
MANUEL SERVIN GUIRADO
Institución
Resumen
We propose a technique for ray tracing, based in the propagation of a Gaussian shape invariant under the Fresnel diffraction integral. The technique uses two driving independent terms to direct the ray and is based on the fact that at any arbitrary distance, the center of the propagated Gaussian beam corresponds to the geometrical projection of the center of the incident beam. We present computer simulations as examples of the use of the technique consisting in the calculation of rays through lenses and optical media where the index of refraction varies as a function of position.