Validation of electromagnetic scattering from a 2D slot backed by a semielliptical cavity: Part I

We have developed exact analytical solutions of new canonical electromagnetic scattering problems. These new analytical solutions provide benchmarks for the validation of computational electromagnetic software.The associated article considers the electromagnetic penetration through an aperture into a cavity. 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.