RIGOROUS, FULL-VECTORIAL SOURCE-TYPE INTEGRAL-EQUATION ANALYSIS OF CIRCULARLY CURVED CHANNEL WAVE-GUIDES

A source-type integral equation method is presented to determine the p ropagation constants, the radiation losses, and the electromagnetic fi eld distributions of the discrete (''guided'') modes in circularly cur ved, integrated optical channel waveguides embedded in a homogeneous b ackground. The method can be extended to the case of a multilayered ba ckground, e,g. a ridge waveguide. The source-type integral equation fo rms an eigenvalue problem, where the electric field strength represent s the eigenvector, This problem is solved numerically by applying the method of moments, Numerical results are presented for various rectang ular channel waveguides situated in a homogeneous embedding acid compa red,vith those of other modeling methods.