Quantification of the Induced Electric Field in a Material Sample Placed Within an Energized Cylindrical Cavity - Abstract

Abstract

In the study of the heating mechanism of a material sample in an energized electromagnetic cavity, it is essential to quantify the induced electric field in a material sample placed within the cavity. In this paper, an Electric Field Integral Equation (EFIE) and a Magnetic Field Integral Equation (MFIE) for the induced fields in the material sample are derived and solved numerically. Relevant dyadic Green's functions are also derived. A complete set of vector wave functions which include both solenoidal and irrotational functions are employed to represent the induced electric field in the material sample. When solving the integral equation, due to the slow convergence rate of the dyadic Green's function, the infinite triple summation over the cavity eigenfunctions is reduced to the infinite double summation. For some material samples with specific geometries, a scheme of separating the material sample into the boundary layer region and the interior volume region is proposed. This scheme tends to improve the convergence of numerical results and also to save computation time. Numerical results agree well with theoretical estimations and analytical results generated from a mode-matching method.