Method of Boundary Integral Equations in the Problem of Diffraction of a Monochromatic Electromagnetic Wave by a System of Perfectly Conducting and Piecewise Homogeneous Dielectric Objects

2020 ◽  
Vol 56 (9) ◽  
pp. 1153-1166
Author(s):  
E. V. Zakharov ◽  
A. V. Setukha
Keyword(s):  
Electromagnetic Wave ◽  
Integral Equations ◽  
Boundary Integral Equations ◽  
Boundary Integral ◽  
Monochromatic Electromagnetic Wave ◽  
Dielectric Objects

The method of hypersingular integral equations in the problem of electromagnetic wave diffraction by a dielectric body with a partial perfectly conducting coating

2017 ◽  
Vol 32 (6) ◽  
Author(s):  
Alexey V. Setukha ◽  
Elizaveta N. Bezobrazova
Keyword(s):  
Electromagnetic Wave ◽  
Integral Equations ◽  
Numerical Scheme ◽  
Boundary Integral Equations ◽  
Boundary Integral ◽  
The Body ◽  
Dielectric Body ◽  
Piecewise Constant ◽  
Conducting Coating ◽  
Monochromatic Electromagnetic Wave

AbstractA problem of scattering of a monochromatic electromagnetic wave by a homogeneous dielectric body is considered. A part of the boundary of the body is a perfectly conducting thin surface. The problem is reduced to a system of the boundary integral equations containing integrals with strong singularity, the integrals are understood in terms of Hadamard final part. A numerical solution scheme is constructed on the base of approximate solution of these equations using the methods of piecewise-constant approximations and collocation. The constructed numerical scheme is tested on a model example.

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