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

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

2007-04-29

arxiv.org/abs/0704.3847v1

Mathematics

Analysis of PDEs

18 pages, 8 figures

Scientific paper

10.1002/mma.988

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.

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