A Formal Solution for Wave Propagation in Rectangular Waveguide with an Inserted Nonlinear Dielectric Slab
Résumé
A formal series solution is presented for the electromagnetic field distribution inside a rectangular waveguide in which a nonlinear dielectric slab has been inserted. The solution is developed in terms of the Green function of rectangular waveguides with perfectly conductive walls. We assume the waveguide to be excited in the TE10 mode at a frequency f0. The approach takes into account the higher-order mode generation at f0 and at different frequencies. We also assume the nonlinear slab to be isotropic and inhomogeneous (even without any impressed field). The paper shows how the problem solution (i.e. the computation of the series coefficients) can be reduced to the solution of a system of coupled integral equations. The formal solution is derived for two cases : an infinite waveguide and a short-circuited waveguide.
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