Abstract:
In this work, we consider a special approximation of the general perturbation formula for the electromagnetic field by a set of electrically small inhomogeneities located in the domain of interest. The problem considered in this paper arises in many applications of technical electrodynamics, radar technologies and subsurface remote sensing. In the general case, it is formulated as follows: at some point in the perturbed domain, it is necessary to determine the amplitude of the electromagnetic field. The perturbation of electromagnetic waves is caused by a set of electrically small scatterers distributed in space. The source of electromagnetic waves is also located in perturbed domain. The problem is solved by introducing the far field approximation and through the formulation for the scatterer radar cross section value. This, in turn, allows one to significantly speed up the calculation process of the perturbed electromagnetic field by a set of a spherical inhomogeneities identical to each other with arbitrary electrophysical parameters. In this paper, we consider only the direct scattering problem; therefore, all parameters of the scatterers are known. In this context, it may be argued that the formulation corresponds to the well-posed problem and does not imply the solution of the integral equation in the generalized formula. One of the features of the proposed algorithm is the allocation of a characteristic plane at the domain boundary. All points of observation of the state of the system belong to this plane. Set of the scatterers is located inside the observation region, which is formed by this surface. The approximation is tested by comparing the results obtained with the solution of the general formula method for the perturbation of the electromagnetic field. This approach, among other things, allows one to remove a number of restrictions on the general perturbation formula for E-filed analysis.
Citation:
K. M. Zeyde, A. Yu. Vardugina, S. Marvin, “Fast method for analyzing the electromagnetic field perturbation by small spherical scatterers”, Computer Research and Modeling, 12:5 (2020), 1039–1050
\Bibitem{ZeyVarMar20}
\by K.~M.~Zeyde, A.~Yu.~Vardugina, S.~Marvin
\paper Fast method for analyzing the electromagnetic field perturbation by small spherical scatterers
\jour Computer Research and Modeling
\yr 2020
\vol 12
\issue 5
\pages 1039--1050
\mathnet{http://mi.mathnet.ru/crm834}
\crossref{https://doi.org/10.20537/2076-7633-2020-12-5-1039-1050}
Linking options:
https://www.mathnet.ru/eng/crm834
https://www.mathnet.ru/eng/crm/v12/i5/p1039
This publication is cited in the following 1 articles:
Mikhail V. Ronkin, Kirill M. Zeyde, Alexey A. Kalmykov, INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2021, 2849, INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2021, 2023, 190011