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.
1. Uslenghi, P. L. E., "Exact penetration, radiation and scattering for a slotted semielliptical channel filled with isorefractive material," IEEE Trans. Antennas Propagat., Vol. 52, No. 6, 1473-1480, 2004. doi:10.1109/TAP.2004.829848
2. Shumpert, J. D. and C. M. Butler, "Penetration through slots in conducting cylinders: Part 1, TE case, analysis of a strip in a waveguide," IEEE Trans. Antennas Propagat., Vol. 46, No. 11, 1612-1621, 1998. doi:10.1109/8.736609
3. Butler, C. M., "Investigation of a scatterer coupled to an aperture in a conducting screen," Proc. IEE (London), Vol. 127, No. 3, 161-169, 1980.
4. Erricolo, D., "Acceleration of the convergence of series containing Mathieu functions using Shanks transformation," IEEE Antennas and Wireless Propagation Letters, Vol. 2, 58-61, 2003. doi:10.1109/LAWP.2003.813380
5. Zhang, S. and J. M. Jin, Computation of Special Functions, Wiley, New York, 1996.