scholarly journals Well-posedness of integral equations for modeling electromagnetic scattering from cavities

Radio Science ◽  
2008 ◽  
Vol 43 (5) ◽  
pp. n/a-n/a
Author(s):  
Yuan Xu
Keyword(s):  
Integral Equations ◽  
Electromagnetic Scattering ◽  
Well Posedness

scholarly journals Volume integral equations for electromagnetic scattering in two dimensions

2015 ◽  
Vol 70 (8) ◽  
pp. 2087-2101 ◽  
Author(s):  
Martin Costabel ◽  
Eric Darrigrand ◽  
Hamdi Sakly
Keyword(s):  
Integral Equations ◽  
Electromagnetic Scattering ◽  
Two Dimensions ◽  
Volume Integral

scholarly journals A Fast-Converging Scheme for the Electromagnetic Scattering from a Thin Dielectric Disk

Electronics ◽  
2020 ◽  
Vol 9 (9) ◽  
pp. 1451
Author(s):  
Mario Lucido ◽  
Mykhaylo V. Balaban ◽  
Sergii Dukhopelnykov ◽  
Alexander I. Nosich
Keyword(s):  
Integral Equations ◽  
Electromagnetic Scattering ◽  
Disk Surface ◽  
Hankel Transform ◽  
Transform Domain ◽  
One Dimensional ◽  
Analytical Technique ◽  
Generalized Boundary Conditions ◽  
Dielectric Disk ◽  
Dimensional Integral

In this paper, the analysis of the electromagnetic scattering from a thin dielectric disk is formulated as two sets of one-dimensional integral equations in the vector Hankel transform domain by taking advantage of the revolution symmetry of the problem and by imposing the generalized boundary conditions on the disk surface. The problem is further simplified by means of Helmholtz decomposition, which allows to introduce new scalar unknows in the spectral domain. Galerkin method with complete sets of orthogonal eigenfunctions of the static parts of the integral operators, reconstructing the physical behavior of the fields, as expansion bases, is applied to discretize the integral equations. The obtained matrix equations are Fredholm second-kind equations whose coefficients are efficiently numerically evaluated by means of a suitable analytical technique. Numerical results and comparisons with the commercial software CST Microwave Studio are provided showing the accuracy and efficiency of the proposed technique.

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