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Fast modeling of electromagnetic scattering from 2D electrically large PEC objects using the complex line source type Green's function

Published online by Cambridge University Press:  08 January 2019

Deniz Kutluay*
Affiliation:
Dokuz Eylül University, Graduate School of Natural and Applied Sciences, Buca, İzmir-Turkey
Taner Oğuzer
Affiliation:
Electrical and Electronics Eng. Department, Dokuz Eylül University, Buca, İzmir-Turkey
*
Author for correspondence: Deniz Kutluay, E-mail: kutluaydenizz@gmail.com

Abstract

This study introduces an alternative approach to the numerical solution of two-dimensional (2D) electromagnetic scattering problems by a numerical method of moments (MoM). The real source position vector is replaced by a complex quantity, then Green's function generates a complex source point beam, therefore the interactions between the far zone elements in the impedance matrix are neglected, except the basis functions near to the edges, strongly localizing the impedance matrix. The memory storage increases with the number of edges, but for a fixed number of the edges, it is linearly proportional with N, i.e. O(N). Consequently, the overall running time can be drastically reduced and the far zone scattering pattern and the near field can be found. The proposed procedure is first explained for the single perfectly electrically conducting (PEC) strip geometry, then extended to the scattering by 2D PEC objects with closed polygonal cross-sections. Numerical results are presented for a strip and a square cylinder in both polarizations. The relative errors are also compared with the standard MoM.

Type
Research Papers
Copyright
Copyright © Cambridge University Press and the European Microwave Association 2019 

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References

1.Harrington, RF (2001) Time-Harmonic Electromagnetic Fields. New York, NY: John Wiley & Sons.Google Scholar
2.Coifman, R, Rokhlin, V and Wandzura, S (1993) The fast multipole method for the wave equation. IEEE Antennas and Propagation Magazine 35, 712.Google Scholar
3.Canning, F (1990) The impedance matrix localization (IML) method for moment-method calculations. IEEE Antennas and Propagation Magazine 32, 1830.Google Scholar
4.Felsen, LB (1976) Complex source point solution of the field equations and their relation to the propagation and scattering of Gaussian beams. Symposia Mathematica 18, 3956.Google Scholar
5.Suedan, GA and Jull, EV (1991) Beam diffraction by planar and parabolic reflectors. IEEE Transactions on Antennas and Propagation 39, 521527.Google Scholar
6.Oguzer, T, Altintas, A and Nosich, AI (1995) Accurate simulation of reflector antennas by the complex source-dual series approach. IEEE Transactions on Antennas and Propagation 43, 793801.Google Scholar
7.Boriskin, AV and Nosich, AI (2002) Whispering-gallery and Luneburg lens effects in a beam-fed circularly-layered dielectric cylinder. IEEE Transactions on Antennas and Propagation 50, 12451249.Google Scholar
8.Boriskin, AV, Sauleau, R and Nosich, AI (2009) Performance of hemielliptic dielectric lens antennas with optimal edge illumination. IEEE Transactions on Antennas and Propagation 57, 21932198.Google Scholar
9.Tsitsas, NL, Valagiannopoulos, CA and Nosich, AI (2014) Scattering and absorption of a complex source point beam by a grounded lossy dielectric slab with a superstrate. Journal of Optics 16, 105712.Google Scholar
10.Bulygin, VS, Gandel, YV, Benson, TM and Nosich, AI (2013) Full-wave analysis and optimization of a TARA-like shield-assisted paraboloidal reflector antenna using a Nystrom-type method. IEEE Transactions on Antennas and Propagation 61, 49814989.Google Scholar
11.Erez, E and Leviatan, Y (1994) Electromagnetic scattering analysis using a model of dipoles located in complex space. IEEE Transactions on Antennas and Propagation 42, 16201624.Google Scholar
12.Boag, A and Mittra, R (1994) Complex multipole beam approach to electromagnetic scattering problems. IEEE Transactions on Antennas and Propagation 42, 366372.Google Scholar
13.Boag, A, Michielssen, E and Mittra, R (1994) Hybrid multipole-beam approach to electromagnetic scattering problems. Applied Computational Electromagnetics Society Journal 9, 717.Google Scholar
14.Tap, K, Pathak, PH and Burkholder, RJ (2011) Exact complex source point beam expansions for electromagnetic fields. IEEE Transactions on Antennas and Propagation 59, 33793390.Google Scholar
15.Tap, K, Pathak, PH and Burkholder, RJ (2014) Complex source beam-moment method procedure for accelerating numerical ıntegral equation solutions of radiation and scattering problems. IEEE Transactions on Antennas and Propagation 62, 20522062.Google Scholar
16.Tap, K (2007) Complex Source Point Beam Expansions for Some Electromagnetic Radiation and Scattering Problems (PhD Dissertation). The Ohio State University.Google Scholar
17.Kutluay, D and Oğuzer, T (2017) The fast computation of the electromagnetic scattering by using the complex line source type Green's function in the method of moments, Proc. IEEE Microwaves, Radar and Remote Sensing Symposium (MRRS-2017), Kiev.Google Scholar
18.Volakis, JL and Sertel, K (2012) Integral Equation Methods for Electromagnetics. Raleigh, NC: Scitech Publishing, Inc.Google Scholar