Abstract

In this paper, an efficient numerical method is developed for solving a two-dimensional Helmholtz equation in the optical waveguide with a discontinuous interface. The optical propagation is solved by an improved marching scheme based on the Dirichlet-to-Neumann (DtN) map. A local orthogonal transformation is applied to flatten the curved interface, and the discontinuous point of the interface brings the waveguide discontinuity problem and misalignment of the transformed fields, which are solved by the transformations of marching operators. The numerical results show that our method is feasible and can avoid the error caused by the discontinuity.

© 2018 Optical Society of America

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