An Effective $z$-Stretching Adaptive Finite Difference Method for Paraxial Light Beam Propagation Simulations
Numerical Analysis
2010-06-09 v1 Optics
Abstract
A new -stretching finite difference method is established for simulating the paraxial light beam propagation through a lens in a cylindrically symmetric domain. By introducing proper domain transformations, we solve corresponding difference approximations on a uniform grid in the computational space for great efficiency. A specialized matrix analysis method is constructed to study the numerical stability. Interesting computational results are presented.
Keywords
Cite
@article{arxiv.1006.1607,
title = {An Effective $z$-Stretching Adaptive Finite Difference Method for Paraxial Light Beam Propagation Simulations},
author = {Leonel Gonzalez and Shekhar Guha and James W. Rogers and Qin Sheng},
journal= {arXiv preprint arXiv:1006.1607},
year = {2010}
}
Comments
18 pages