2024 : 4 : 23
Mehdi Bozorgi

Mehdi Bozorgi

Academic rank: Assistant Professor
ORCID: https://orcid.org/0000-0003-0694-5390
Education: PhD.
ScopusId: 35490004500
Faculty: Engineering
Address: Arak University


A Mode-Matching Solution for TE-Backscattering from an Arbitrary 2D Rectangular Groove in a PEC
Highly Oscillatory Singular Integral, Modal Expansion, TE-Backscattering, 2D Filled Rectangular Groove
Journal Journal of Electromagnetic Engineering and Science
Researchers Mehdi Bozorgi


In this paper, the simple yet effective mode-matching technique is utilized to compute TE-backscattering from a 2D filled rectangular groove in an infinite perfect electric conductor (PEC). The tangential magnetic fields inside and outside of the groove are represented as the sums of infinite series of cosine harmonics (half-range Fourier cosine series). By applying the continuity of the tangential magnetic field, these modes are matched on the groove to obtain the series coefficients by solving a system of linear equations. For this purpose, some oscillatory logarithmic singular integrals involving Hankel and trigonometric functions are solved numerically, starting by removing the logarithmic singularity via integration by parts. In the following, the new well-behaved highly oscillatory integrals are computed using efficient methods, and several comparisons are made to demonstrate the validity and ability of the presented procedure.