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Solution of the scalar wave equation for arbitrarily shaped dielectric waveguides by two-dimensional Fourier analysis

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2 Author(s)
Henry, C.H. ; AT&T Bell Lab., Murray Hill, NJ, USA ; Verbeek, B.H.

A method for calculating the modes of arbitrarily shaped dielectric waveguides is presented. It consists of expanding the field in a two-dimensional Fourier series. The expansion is used to convert the scalar wave equation into a matrix eigenvalue equation. To facilitate calculation of the matrix elements, the waveguide geometry is approximated by a number of rectangles of constant refractive index. The accuracy of the method is demonstrated by calculating the dominant mode of a circular optical fiber and comparing it with the exact solution. The method well-fitted the experimental data on dielectric film waveguides on silicon, including data on waveguide-to-fiber butt-coupling loss, waveguide far-field angles, and the coupling length of directional couplers.<>

Published in:

Lightwave Technology, Journal of  (Volume:7 ,  Issue: 2 )