An Efficient Method to Calculate the Convolution Based Reaction Integral Using the Analytical Fourier Transform

Gianluigi TIBERI; Agostino MONORCHIO; Marco DEGIORGI; Giuliano MANARA; Raj MITTRA

doi:10.1093/ietele/e90-c.2.231

An Efficient Method to Calculate the Convolution Based Reaction Integral Using the Analytical Fourier Transform

Gianluigi TIBERI, Agostino MONORCHIO, Marco DEGIORGI, Giuliano MANARA, Raj MITTRA

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A major step in the numerical solution of electromagnetic scattering problems involves the computation of the convolution based reaction integrals. In this paper a procedure based on the analytical Fourier transform is introduced which allows us to calculate the convolution-based reaction integrals in the spectral domain without evaluating any convolution products directly. A numerical evaluation of the computational cost is presented to show the efficiency of the method when handling electrically large problems.

Publication: IEICE TRANSACTIONS on Electronics Vol.E90-C No.2 pp.231-234

Publication Date: 2007/02/01

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Online ISSN: 1745-1353

DOI: 10.1093/ietele/e90-c.2.231

Type of Manuscript: Special Section LETTER (Special Section on Recent Progress in Electromagnetic Theory and Its Application)

Category: Fundamental Theory of Electromagnetic Fields

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Gianluigi TIBERI, Agostino MONORCHIO, Marco DEGIORGI, Giuliano MANARA, Raj MITTRA, "An Efficient Method to Calculate the Convolution Based Reaction Integral Using the Analytical Fourier Transform" in IEICE TRANSACTIONS on Electronics, vol. E90-C, no. 2, pp. 231-234, February 2007, doi: 10.1093/ietele/e90-c.2.231.
Abstract: A major step in the numerical solution of electromagnetic scattering problems involves the computation of the convolution based reaction integrals. In this paper a procedure based on the analytical Fourier transform is introduced which allows us to calculate the convolution-based reaction integrals in the spectral domain without evaluating any convolution products directly. A numerical evaluation of the computational cost is presented to show the efficiency of the method when handling electrically large problems.
URL: https://globals.ieice.org/en_transactions/electronics/10.1093/ietele/e90-c.2.231/_p

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@ARTICLE{e90-c_2_231,
author={Gianluigi TIBERI, Agostino MONORCHIO, Marco DEGIORGI, Giuliano MANARA, Raj MITTRA, },
journal={IEICE TRANSACTIONS on Electronics},
title={An Efficient Method to Calculate the Convolution Based Reaction Integral Using the Analytical Fourier Transform},
year={2007},
volume={E90-C},
number={2},
pages={231-234},
abstract={A major step in the numerical solution of electromagnetic scattering problems involves the computation of the convolution based reaction integrals. In this paper a procedure based on the analytical Fourier transform is introduced which allows us to calculate the convolution-based reaction integrals in the spectral domain without evaluating any convolution products directly. A numerical evaluation of the computational cost is presented to show the efficiency of the method when handling electrically large problems.},
keywords={},
doi={10.1093/ietele/e90-c.2.231},
ISSN={1745-1353},
month={February},}

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TY - JOUR
TI - An Efficient Method to Calculate the Convolution Based Reaction Integral Using the Analytical Fourier Transform
T2 - IEICE TRANSACTIONS on Electronics
SP - 231
EP - 234
AU - Gianluigi TIBERI
AU - Agostino MONORCHIO
AU - Marco DEGIORGI
AU - Giuliano MANARA
AU - Raj MITTRA
PY - 2007
DO - 10.1093/ietele/e90-c.2.231
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E90-C
IS - 2
JA - IEICE TRANSACTIONS on Electronics
Y1 - February 2007
AB - A major step in the numerical solution of electromagnetic scattering problems involves the computation of the convolution based reaction integrals. In this paper a procedure based on the analytical Fourier transform is introduced which allows us to calculate the convolution-based reaction integrals in the spectral domain without evaluating any convolution products directly. A numerical evaluation of the computational cost is presented to show the efficiency of the method when handling electrically large problems.
ER -