Abstract
Electromagnetic penetration through an aperture into a cavity is considered. The structure of interest is a semielliptical channel flush-mounted under a metal plane and slotted along the interfocal distance of its cross-section. The channel is filled with a material isorefractive to the medium that occupies the half-space above the metal plane. Three independent integral equations are developed to compute the currents induced on the structure of interest by plane wave and line source excitations. Numerical results from the integral equation methods are compared with the evaluation of the analytical expressions, derived in a previous paper, that involve the summation of Mathieu functions. Data are presented for two polarizations, various values of intrinsic impedances and ratio between aperture width and incident radiation wavelength. Further data are presented for the bistatic radar cross-section of the structure of interest. All data obtained from the integral equation methods and the evaluations of the analytical formulas are in excellent agreement.
Highlights
TWO different methods are considered for determining the currents on the structure illustrated in Fig. 1, which depicts a slotted conducting plane backed by a semielliptical cavity with conducting walls
Another method is through the evaluation of the analytic expression derived by Uslenghi [1]
Since analytic expressions for the electromagnetic fields exist, one may look upon this problem as canonical, yet it is by no means a simple problem because the structure comprises a cavity, sharp edges, and two isorefractive media, which prompts one to expect a field with varied features
Summary
TWO different methods are considered for determining the currents on the structure illustrated in Fig. 1, which depicts a slotted conducting plane backed by a semielliptical cavity with conducting walls. The difficulties in the evaluations of the analytic solution, whose constituent components are expressed as infinite series of Mathieu functions that may be slowly convergent for some combinations of the various parameters, led to a mutual validation of independent solution methods. The geometry of this problem is most described in the elliptic coordinates (u, v) related to the Cartesian coordinates by x = d/2 cosh u cos v and y = d/2 sinh u sin v. The agreement among the numerical results for the current determined by these different methods is excellent in all cases considered
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