Advances in rib waveguide analysis using the weighted index method or the method of moments

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Abstract
The concept of effective widths is shown to lead, in principle, to a theory for the upper lower version of the weighted index method. By applying the ‘method of moments’ to the scalar wave equation (quasi-TE mode), a basis is provided for procedures which previously relied on physical intuition. Numerical solutions are compared with the effective, weighted, upper lower and spectral index methods. The latter two methods agree well with a semi-vectorial finite difference method, and give good accuracy.

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