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VECTORIAL INTEGRATED FINITE-DIFFERENCE ANALYSIS OF DIELECTRIC WAVEGUIDES

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Abstract

For the step index profile of dielectric waveguides(see Figure 1), the mode-matching techniques[1], the finite-element analysis [2-4], and the finite-difference method[5-7] have been developed for the discretization of the wave equation and the computation of the eigenvalues. In this paper, we present an integrated finite-difference method[8] to discretize the wave equation, and Arnoldi’s method[9,10] coupled with multiple deflation[10], followed by the inverse power method[11] combined with an iterative solver[12], for the calculation of eigenvalues and eigenvectors.

© 1993 Optical Society of America

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