Numerical analysis of penetration, radiation, and scattering for a 2D slotted semielliptical channel filled with isorefractive material

Electromagnetic penetration through an aperture into a cavity is considered. The structure of interest comprises a slotted infinite conducting plane backed by a semielliptical channel. Three independent integral equations are used to study the structure of interest,for which analytical expressions are derived in another paper and involve summations of Mathieu functions. Numerical results from the analytical expressions for the electromagnetic fields are compared with those from integral equation methods for various cases of excitation and isorefractive materials. The agreement is excellent in all cases.