Cut-off frequency and dominant eigenfunction computation in complex dielectric geometries via Donsker-Kač formula and Monte Carlo method


The Donsker-Kač formula can be adapted to compute the dominant eigenvalues and eigenfunctions in dielectric waveguides with complicated geometry, in the weak guidance approximation. The computation of the involved functional (path) integrals is accomplished by means of a reduced-variance Monte Carlo method. The method seems attractive by comparison with standard techniques (Moments Method and Finite Ele- ments) in terms of computational budget.

Electromagnetics 17(1), 1