TM Plane Wave Scattering from a Trapezoidal Cavity

Author:

Bozorgi Mehdi1ORCID

Affiliation:

1. Arak University

Abstract

Abstract The scattering problem of TM-plane wave from an isosceles trapezoidal cavity in a perfect electric conductor (PEC) is investigated. The modal expansion method and region-matching technique are employed to obtain a rigorous solution for this problem. The analyzed region is divided into three sub-regions by two arc-shaped borders. The tangential fields in each sub-region are expanded by appropriate wave functions which satisfy the Helmholtz equation and boundary conditions, simultaneously. After applying the boundary conditions on the auxiliary borders, four algebraic equations are constructed and solved for the unknown coefficients of the series. Some comparisons are taken to verify the validity of the procedure used in this study. Also, some typical examples are given to inspect the effect of the trapezoidal cavity parameters on scattering patterns.

Publisher

Research Square Platform LLC

Reference13 articles.

1. Senior, T.B.A., Sarabandi, K., Natzke, J.R.: “Scattering by a narrow gap,”IEEE Trans. Antennas Propag., vol. 38, no. 7, pp.1102–1110, Jul.1990

2. TM-scattering from a multiangular groove in a ground plane;Chumachenko VP;J. Electromagn. Waves Applicat,2000

3. Basha, M.A., Chaudhuri, S.K., Safavi-Naein, S.: “A Fourier Expansion Solution to Plane Wave Scattering from Multiple Isosceles Right Triangle Grooves in Perfect Conducting Plane,” Photonic Applications in Devices and Communication Systems, Vol. 5970, Oct. (2005)

4. Bozorgi, M.: "A Modal Solution for Scattering by an Arbitrary Isosceles Triangular Groove," in IEEE Transactions on Antennas and Propagation, vol. 68, no. 12, pp. 8255–8259, Dec. (2020)

5. Bozorgi, M.: “ An Asymptotic High-Frequency Solution for Scattering from an Electrically Wide Triangular Cavity ”, AEM, vol. 11, no. 3, pp. 10–15, Aug. (2022)

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