A novel solution method using multidomain spectral collocation method for computational electromagnetics with application to the modal analysis of optical waveguides is proposed. The use of domain decomposition divides the computational domain into a few subdomains at the interfaces of different materials. The fields in each subdomain can be expanded by a set of orthogonal basis functions and patched by applying the electromagnetic boundary conditions. A new technique for the a priori determination of the scaling factor in Gauss-type basis functions is introduced to reduce the computational effort choosing the optimum value. The high accuracy of spectral collocation method is kept by the present method but the poor convergence is improved. Computations of several 2-D and 3-D waveguide structures have been tested for the accuracy and efficiency of the present method. Detailed comparisons of the present results with exact solutions or previously published data based on other methods are included.
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