paper

Analytical results for 2-D non-rectilinear waveguides based on the Green's function

arXiv:0704.3847 · doi:10.1002/mma.988

Abstract

We consider the problem of wave propagation for a 2-D rectilinear optical waveguide which presents some perturbation. We construct a mathematical framework to study such a problem and prove the existence of a solution for the case of small imperfections. Our results are based on the knowledge of a Green's function for the rectilinear case.

18 pages, 8 figures

Analytical results for 2-D non-rectilinear waveguides based on the Green's function · wovepaper