Abstract
A compact two-dimensional finite-difference time-domain method is developed for the modal analysis of nonuniform dielectric waveguides. The unsplit-field perfectly-matched-layer absorbing boundary condition has also been extended to this approach. The proposed method approximates the maxwell equations by using the semivectorial wave equations, and the dominant electric fields are solved for two perpendicular polarizations. By introducing the new techniques, complex variables can be avoided in the calculations. At the same time, the number of variables is minimized in the computation domain. Through that, approximately half of the computation effort can be saved without accuracy loss. Numerical examples are given to substantiate the theory. Excellent accuracy has been obtained for the entire frequency spectrum, even near the cutoff region.
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