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.
Analytical results for 2-D non-rectilinear waveguides based on a Green's function / G. Ciraolo, R. Magnanini. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - 31:13(2008), pp. 1587-1606.
Analytical results for 2-D non-rectilinear waveguides based on a Green's function
G. Ciraolo;
2008
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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