New computational treatment of optical wave propagation in lossywaveguides

Abstract

In this paper, the optical wave propagation in lossy waveguides is described by the Helmholtz equation with the complex refractive-index, and the Chebyshev pseudospectral method is used to discretize the transverse operator of the equation. Meanwhile, an operator marching method, a one-way re-formulation based on the Dirichletto-Neumann (DtN) map, is improved to solve the equation. Numerical examples show that our treatment is more efficient.

Keywords

Adjoint operator / Orthogonal / Chebyshev / Pseudospectral method / Dirichlet-to-Neumann map

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