An Efficient Solution for Scattering by a Perfectly Conducting Strip Grating

Arnold, Matthew D.

doi:10.1163/156939306776149905

Cited by 28 publications

(18 citation statements)

References 13 publications

(13 reference statements)

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“…As a conclusion, the results suggest that it is possible to extend this complex analysis methodology to concrete scattering problems (for instance the sort of problems in [16][17][18]) including more general solutions, their interpretation in terms of complex quantities, complex scattering laws, etc. This also leads to a very important coming back to basics procedure described under the general terminology of complex signal theory currently under investigation [19].…”

Section: Introductionmentioning

confidence: 81%

Complex Analysis of the Induced Currents on a Perfectly Conducting Plane Under Complex Beam Incidence

González-Morales¹,

Gago-Ribas²,

Dehesa-Martínez³

2007

PIER

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Abstract-This paper is concerned with the analysis of the currents induced on a 2D infinite perfectly conducting plane illuminated by a complex beam obtained from the analytical continuation of the real location of a unit impulse source into a complex one. The main goal considering this well-known problem is to understand the meaning of the analytical continuation and the physical information underlying the complex quantities arising from it, and to investigate the capabilities of operating in complex spaces instead of the original real ones through a simple example. Several complex quantities directly related to this problem are analysed and translated into the real domain, leading to a clear and general description of all the possible behaviours of the currents. These results will provide some new insight to extend the complex analysis methodology to more complicated scattering problems. As expected, complex analysis appears to be a full-meaning tool to obtain parameterizations of EM problems, leading to more general solutions and their physical descriptions. 300González-Morales, Gago-Ribas, and Dehesa-Martínez

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Section: Introductionmentioning

confidence: 81%

Complex Analysis of the Induced Currents on a Perfectly Conducting Plane Under Complex Beam Incidence

González-Morales¹,

Gago-Ribas²,

Dehesa-Martínez³

2007

PIER

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“…Scattering from arbitrary surfaces such as square, cylindrical, circular, spherical [1][2][3][4][5][6][7] are commonly used as test cases in computational Electromagnetics, because analytical solutions for scattered fields can be derived for these geometries [1].…”

Section: Introductionmentioning

confidence: 99%

New Numerical Method for Determining the Scattered Electromagnetic Fields From Thin Wires

Hatamzadeh-Varmazyar¹,

Naser‐Moghadasi²

2008

PIER B

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Abstract-In this paper an effective numerical method for determining the scattered electromagnetic fields from thin wires is presented and discussed. This problem is modeled by the integral equations of the first kind. The basic mathematical concept is the method of moments. The problem of determining these scattered fields is treated in detail, and illustrative computations are given for several cases.

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“…Scattering from various metallic surfaces such as square, cylindrical, circular, spherical [2][3][4][5][6][7] are commonly used as test cases in computational electromagnetics, because analytical solutions for scattered fields can be derived for these geometries. The scattering from conducting circular disk surfaces has been extensively studied in the literature.…”

Section: Introductionmentioning

confidence: 99%

Monte Carlo Integration Technique for the Analysis of Electromagnetic Scattering From Conducting Surfaces

Mishra¹,

Gupta²

2008

PIER

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Abstract-A new numerical method is proposed for the analysis of electromagnetic scattering from conducting surfaces. The method involves Monte Carlo integration technique in the Method of Moments solution of the Electric Field Integral Equation for determining the unknown induced current distribution on the surface of the scatterers. The unknown current distribution is represented in terms of a modified entire domain polynomial basis functions satisfying the appropriate edge conditions and symmetry conditions of the problem. This leads to very small order of the Method of Moments matrix as compared to the conventional sub-domain basis functions. The accuracy and the effectiveness of the method are demonstrated in three cases of scattering from conducting circular disks and results are compared with the solutions using conventional sub-domain basis functions. While the sub domain analysis is incapable of handling large domain problems, the proposed method overcomes this limitation. It is also observed that the proposed method is superior to conventional sub-domain method in dealing with singularity problem of the integral equation easily and efficiently.

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An Efficient Solution for Scattering by a Perfectly Conducting Strip Grating

Cited by 28 publications

References 13 publications

Complex Analysis of the Induced Currents on a Perfectly Conducting Plane Under Complex Beam Incidence

Complex Analysis of the Induced Currents on a Perfectly Conducting Plane Under Complex Beam Incidence

New Numerical Method for Determining the Scattered Electromagnetic Fields From Thin Wires

Monte Carlo Integration Technique for the Analysis of Electromagnetic Scattering From Conducting Surfaces

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