Wave-matching method for mode analysis of dielectric waveguides |
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Authors: | Lohmeyer M |
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Institution: | 1.Department of Physics, University of Osnabru¨ck, Barbarastra?e 7, D-49069, Osnabru¨ck, Germany ; |
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Abstract: | Frequently the cross-section of a longitudinally homogeneous dielectric waveguide may be decomposed into rectangles with constant
permittivity. For points inside these rectangles the wave equation for modal fields is solved analytically by expanding into
functions with harmonic or exponential dependence on the transverse coordinates. Minimization of a least-squares expression
for the remaining misfit on the boundary lines allows us to determine propagation constants and fields for guided modes. Semivectorial
calculations for two sets of rib waveguides and the centre sections of a directional coupler and an MMI device show very good
agreement with results found in the literature.
This revised version was published online in November 2006 with corrections to the Cover Date. |
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