Abstract

The collocation method developed earlier for propagating beams through optical waveguides is unstable for moderately large values of the extrapolation interval. A new procedure is presented to solve the matrix propagation equation in a method that is unconditionally stable for arbitrarily large extrapolation intervals. The new method uses the Fresnel approximation. The numerical performance of the new formulation is compared with that of the original method and with the propagating-beam method.

© 1991 Optical Society of America

Method for propagation of total fields or beams through optical waveguides

Anurag Sharma and Swagata Banerjee
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Propagation of beams through optical waveguiding structures: comparison of the beam-propagation method and the collocation method

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Variable-transformed collocation method for field propagation through waveguiding structures

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Propagation characteristics of optical waveguiding structures by direct solution of the Helmholtz equation for total fields

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