An Effective $z$-Stretching Adaptive Finite Difference Method for Paraxial Light Beam Propagation Simulations

Details An Effective $z$-Stretching Adaptive Finite Difference Method for Paraxial Light Beam Propagation Simulations An Effective $z$-Stretching Adaptive Finite Difference Method for Paraxial Light Beam Propagation Simulations

2010-06-08

arxiv.org/abs/1006.1607v1

Mathematics

Numerical Analysis

18 pages

Scientific paper

A new $z$-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.

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