A GENERALIZED DONSKER-KAC FORMULA TO COMPUTE THE FUNDAMENTAL MODES INCOMPLEX LOADED WAVE-GUIDES

We present a novel algorithm for determining the fundamental modes and cutoff wavenumbers in metallic waveguides with arbitrary cross-sectio n, possibly loaded with inhomogeneous dielectrics. The method is based upon a generalized Donsker-Kac formula which leads to a closed-form e xpression for the sought quantities in terms of asymptotic generalized Wiener-Ito integrals. These path integrals are computed by means of M onte Carlo methods, leading to a completely parallel algorithm with mi ld memory requirements. The method can be easily generalized to 3D pro blems including electromagnetic resonators.