Electromagnetic scattering between an elliptically inhomogeneous plane wave and a multilayered cylinder (original) (raw)
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Journal of telecommunications and information technology, 2019
In this paper, a rigorous theoretical approach, adopted in order to generalize the Vectorial Cylindrical-Harmonics (VCH) expansion of an inhomogeneous elliptically polarized plane wave, is presented. An application of the VCH expansion to analyze electromagnetic field scattered by an infinite circular cylinder is presented. The results are obtained using the so-called complex-angle formalism reaching a superposition of Vectorial Cylindrical-Harmonics. To validate the method, a Matlab code was implemented. Also, the validity of the methodology was confirmed through some comparisons between the proposed method and the numerical results obtained based on the Finite Element Method (FEM) in the canonical scenario with a single cylinder.
Electromagnetic Scattering of Inhomogeneous Plane Wave by Ensemble of Cylinders
Journal of telecommunications and information technology, 2020
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.
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2021 XXXIVth General Assembly and Scientific Symposium of the International Union of Radio Science (URSI GASS), 2021
The interplay between an inhomogeneous plane wave and unlimited parallel stratified cylinders is presented. A meticulous theoretical approach is employed to show the relative electromagnetic interaction. The generalized Vector Cylinder Harmonics (VCH) expansion application is used for investigating the electromagnetic scattering by a series of stratified cylinders. he commonly named complex-angle formalism is used in the exact mathematical model to depict the current scenario. This approach allows the obtaining of the superposition of the VCH and the Foldy-Lax Multiple Scattering Equations (FLMSE) for considering the effect of multi-scattering between the stratified cylinders.
Light Scattering from Microstructures
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Microwave and Optical Technology Letters, 2006
In this study, the electromagnetic scattering from a highorder inhomogeneous impedance cylinder is investigated. The method presented in this paper is based on the series representation of incident and scattering fields. The inhomogeneous-surface impedance functions are also expressed by terms of Fourier series. By using the boundary condition on the surface of the cylinder, a series equation is obtained. This equation is reduced the matrix equation by using the orthogonal properties of the Fourier expansion functions and unknown mode coefficients can be calculated. The obtained results are compared with those obtained using the method of moments (MoM) for 1 st-order inhomogeneous-surface impedance cylinder and good agreements are observed.
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COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2013
Purpose-The purpose of this paper is to investigate the numerical aspects of the electromagnetic scattering of a plane wave by a set of buried cylinders. Design/methodology/approach-The cylindrical wave approach is employed. The analytical model is implemented in a Fortran code. The numerical aspects of the technique are presented, with particular emphasis on the numerical evaluation of the integrals involved in the procedure. Findings-The tool obtained allows a fast computation of the electromagnetic field scattered by an arbitrary disposition of circular cylinders below an interface. Comparisons with the finite element method are proposed, showing the very good agreement between the results obtained with the two different approaches. Originality/value-The advantages of the proposed technique in terms of computational weight are explained. The method can be useful in a wide class of application, e.g. in the ground penetrating radar applications, microscopy, biomedical applications, etc.
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The scattering properties of a homogeneous elliptic cylinder with a confocal dielectric or magnetic coating are investigated analytically. The method of separation of variables is used to determine, exactly, the field distributions in each region for both transverse electric and transverse magnetic excitations. The technique can be easily extended to handle any number of layers. The behavior of the scattered field in the far zone is illustrated with numerical results for different core and coating material types, axial ratios, and electrical sizes.
IEEE Geoscience and Remote Sensing Letters, 2013
The 2-D electromagnetic scattering of a plane wave by a perfectly conducting cylinder buried in a lossy medium is presented. The problem of reflection and transmission of both the plane wave and the cylindrical wave at the interface with a dissipative medium has been faced, taking into account the general case of inhomogeneous waves. The scattering problem has been solved with the cylindrical-wave approach. The theoretical solution has been numerically implemented in a Fortran code, and the numerical results have been compared with both the literature and simulations with a commercial software.
Scattering of electromagnetic waves by many thin cylinders: Theory and computational modeling
Optics Communications, 2012
Electromagnetic (EM) wave scattering by many parallel infinite cylinders is studied asymptotically as a → 0, where a is the radius of the cylinders. It is assumed that the centers of the cylindersx m are distributed so that N (∆) = ln(1 a) ∆ N(x)dx[1 + o(1)], where N (∆) is the number of pointŝ x m = (x m1 , x m2) in an arbitrary open subset of the plane xOy, the axes of cylinders are parallel to z-axis. The function N(x) ≥ 0 is a given continuous function. An equation for the self-consistent (limiting) field is derived as a → 0. The cylinders are assumed perfectly conducting. Formula for the effective refraction coefficient of the new medium, obtained by embedding many thin cylinders into a given region, is derived. The numerical results presented demonstrate the validity of the proposed approach and its efficiency for solving the many-body scattering problems, as well as the possibility to create media with negative refraction coefficients.