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Optical Engineering

Analysis of nonreciprocal phase shifters for integrated optics by the Galerkin method
Author(s): Mikhail Shamonin; Peter Hertel
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Paper Abstract

We compute the guided modes of a gyrotropic rib waveguide in the semivectorial approximation. The principal component of the magnetic field is expanded into a two-dimensional Fourier series on a rectangular computational window. The expansion coefficients are determined by the Galerkin method, giving rise to a generalized eigenvalue problem with symmetric matrices, typically of rank 300. The method is easy to implement, is reasonably fast, and compares well with the finite-difference or spectral-index method. The quasi-TM mode equation is the condition of stationarity for a bilinear functional. The latter allows one to derive an expression for the differential nonreciprocal phase shift as a first-order perturbation.

Paper Details

Date Published: 1 March 1995
PDF: 4 pages
Opt. Eng. 34(3) doi: 10.1117/12.190428
Published in: Optical Engineering Volume 34, Issue 3
Show Author Affiliations
Mikhail Shamonin, Univ. Osnabrueck (Germany)
Peter Hertel, Univ. Osnabrueck (Germany)


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