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.
CIRAOLO G, MAGNANINI R (2008). Analytical results for 2-D non-rectilinear waveguides based on a Green's function. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 31(13), 1587-1606 [10.1002/mma.988].
Analytical results for 2-D non-rectilinear waveguides based on a Green's function
CIRAOLO, Giulio;
2008-01-01
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.
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