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Calculation of the effective index for nonguiding regions

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Abstract

When the effective-index method is used to reduce a three-dimensional refractive-index distribution to two dimensions, e.g., for use with the two-dimensional beam propagation method, strictly speaking, the effective index neff cannot be calculated for nonguiding regions. Here a technique for obtaining values of neff in such regions is described. The method begins with the index distributions in regions for which values of neff are calculable and then perturbs them for those regions of interest. Using an electro-optic Y-branch optical modulator and a voltage-induced optical waveguide modulator as examples, we demonstrate this method and compare predicted results with measured results.

© 1992 Optical Society of America

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