A FORMAL SOLUTION FOR WAVE-PROPAGATION IN RECTANGULAR WAVE-GUIDE WITHAN INSERTED NONLINEAR DIELECTRIC SLAB

A formal series solution is presented for the electromagnetic field di stribution inside a rectangular waveguide in which a nonlinear dielect ric slab has been inserted. The solution is developed in terms of the Green function for rectangular waveguides with perfectly conductive wa lls. We assume the waveguide to be excited in the TE10 mode at frequen cy f0. The approach takes into account the higher-order mode generatio n of f0 and at different frequencies. We also assume the nonlinear sla b to be isotropic and inhomogeneous (even without any impressed field) . The paper shows how the problem solution (i.e., the computation of t he series coefficients) can be reduced to the solution of a system of coupled integral equations. The formal solution is derived for two cas es: an infinite waveguide and a short-circuited waveguide.