scholarly journals SPECTRAL-DOMAIN FORMULATION OF ELECTROMAGNETIC SCATTERING FROM CIRCULAR CYLINDERS LOCATED NEAR PERIODIC CYLINDER ARRAY

2011 ◽  
Vol 31 ◽  
pp. 219-237 ◽  
Author(s):  
Koki Watanabe ◽  
Yoshimasa Nakatake
Keyword(s):  
Electromagnetic Scattering ◽  
Spectral Domain ◽  
Circular Cylinders ◽  
Cylinder Array

Spectral‐domain solution to the electromagnetic scattering of a two‐dimensional beam by cylinders buried below a flat interface

2015 ◽  
Vol 13 (3) ◽  
pp. 219-225 ◽  
Author(s):  
Muhammad Arshad Fiaz ◽  
Fabrizio Frezza ◽  
Lara Pajewski ◽  
Cristina Ponti ◽  
Giuseppe Schettini
Keyword(s):  
Electromagnetic Scattering ◽  
Spectral Domain ◽  
Two Dimensional ◽  
Flat Interface

scholarly journals Efficient Evaluation of Slowly Converging Integrals Arising from MAP Application to a Spectral-Domain Integral Equation

Electronics ◽  
2019 ◽  
Vol 8 (12) ◽  
pp. 1500
Author(s):  
Mario Lucido ◽  
Marco Donald Migliore ◽  
Alexander I. Nosich ◽  
Gaetano Panariello ◽  
Daniele Pinchera ◽  
...  
Keyword(s):  
Integral Equation ◽  
Electromagnetic Scattering ◽  
Surface Current ◽  
Coefficient Matrix ◽  
Spectral Domain ◽  
Surface Current Density ◽  
Integral Theorem ◽  
Analytical Technique ◽  
Domain Integral ◽  
Cauchy Integral Theorem

In this paper, we devised an analytical technique to efficiently evaluate the improper integrals of oscillating and slowly decaying functions arising from the application of the method of analytical preconditioning (MAP) to a spectral-domain integral equation. The reasoning behind the method’s application may consistently remain the same, but such a procedure can significantly differ from problem to problem. An exhaustive and understandable description of such a technique is provided in this paper, where we applied MAP for the first time to analysis of electromagnetic scattering from a zero-thickness perfectly electrically conducting (PEC) disk in a planarly layered medium. Our problem was formulated in the vector Hankel transform domain and discretized via the Galerkin method, with expansion functions reconstructing the physical behavior of the surface current density. This ensured fast convergence in terms of the truncation order, but involved numerical evaluation of slowly converging integrals to fill in the coefficient matrix. To overcome this problem, appropriate contributions were pulled out of the kernels of the integrals, which led to integrands transforming into exponentially decaying functions. Subsequently, integrals of the extracted contributions were expressed as linear combinations of fast-converging integrals via the Cauchy integral theorem. As shown in the numerical results section, the proposed technique drastically outperformed the classical analytical asymptotic-acceleration technique.

Sign in / Sign up

Export Citation Format

Share Document