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Electromagnetic Scattering of Inhomogeneous Plane Wave by Ensemble of Cylinders

Dinia Lorenzo, Mangini Fabio, Frezza Fabrizio

Journal of Telecommunications and Information Technology

2020

nr 3

86--92

The interaction between an ensemble of cylinders and an inhomogeneous plane wave is introduced and is determined, in the present paper, through a rigorous theoretical approach. Scattered electromagnetic ﬁeld generated by an indeﬁnite number of inﬁnite circular cylinders is analyzed by the application of the generalized vector cylinder harmonics (VCH) expansion. The exact mathematical model relied upon to represent this scenario considers the so-called complex-angle formalism reaching a superposition of vectorial cylindrical-harmonics and Foldy-Lax Multiple scattering equations (FLMSE) to account for the multiscattering process between the cylinders. The method was validated by comparing the numerical results obtained with the use of the ﬁnite element method and a homemade Matlab code.

Theoretical results and numerical study on the nonlinear reflection and transmission of plane sound waves

Wojcik J., Gambin B., Litniewski J.

Hydroacoustics

2015

Vol. 18

181-192

The comparison between theoretical and numerical solutions of the reflection/transmission problem for the acoustic plane wave normally incident on the discontinuity surface between two nonlinear lossy media was presented. Numerical calculations made under the assumption that the two media have the same impedance, allow to single out the effect of nonlinearities in the description of the reflection and transmission phenomena, so they agreed with theoretical predictions. It was shown that theoretically obtained and numerically calculated results mutually confirmed themselves.