Fast scattering analysis over a wide frequency band using Clenshaw-Lord-type Pade-Chebyshev approximation

Yi Ru Jeong, Ic Pyo Hong, Heoung Jae Chun, Yong Bae Park, Yoon Jae Kim, Jong Gwan Yook

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Pade-Chebyshev approximation of Clenshaw-Lord type with method of moments is proposed for wide-band analysis of an arbitrary-shaped perfect electric conductor structure. Moreover, various Chebyshev polynomials, such as first, third, and fourth kinds, are used to express the singular points in the graph to display the expected result for scattering characteristics. The proposed algorithm has a wide radius of convergence due to the use of Chebyshev polynomials and improves calculation speed because Clenshaw-Lord-type Pade approximation requires fewer sampling points than Maehly-type Pade approximation in the derivation of the rational function. The results of the proposed method agree very well with the exact solution and reveal its possibility of obtaining more accurate solution than the asymptotic waveform evaluation technique.

Original languageEnglish
Pages (from-to)245-250
Number of pages6
JournalIET Microwaves, Antennas and Propagation
Volume10
Issue number3
DOIs
Publication statusPublished - 2016 Feb 19

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Chebyshev approximation
Frequency bands
Polynomials
Electric conductors
Scattering
Rational functions
Method of moments
Sampling

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

Cite this

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abstract = "Pade-Chebyshev approximation of Clenshaw-Lord type with method of moments is proposed for wide-band analysis of an arbitrary-shaped perfect electric conductor structure. Moreover, various Chebyshev polynomials, such as first, third, and fourth kinds, are used to express the singular points in the graph to display the expected result for scattering characteristics. The proposed algorithm has a wide radius of convergence due to the use of Chebyshev polynomials and improves calculation speed because Clenshaw-Lord-type Pade approximation requires fewer sampling points than Maehly-type Pade approximation in the derivation of the rational function. The results of the proposed method agree very well with the exact solution and reveal its possibility of obtaining more accurate solution than the asymptotic waveform evaluation technique.",
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Fast scattering analysis over a wide frequency band using Clenshaw-Lord-type Pade-Chebyshev approximation. / Jeong, Yi Ru; Hong, Ic Pyo; Chun, Heoung Jae; Park, Yong Bae; Jae Kim, Yoon; Yook, Jong Gwan.

In: IET Microwaves, Antennas and Propagation, Vol. 10, No. 3, 19.02.2016, p. 245-250.

Research output: Contribution to journalArticle

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T1 - Fast scattering analysis over a wide frequency band using Clenshaw-Lord-type Pade-Chebyshev approximation

AU - Jeong, Yi Ru

AU - Hong, Ic Pyo

AU - Chun, Heoung Jae

AU - Park, Yong Bae

AU - Jae Kim, Yoon

AU - Yook, Jong Gwan

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AB - Pade-Chebyshev approximation of Clenshaw-Lord type with method of moments is proposed for wide-band analysis of an arbitrary-shaped perfect electric conductor structure. Moreover, various Chebyshev polynomials, such as first, third, and fourth kinds, are used to express the singular points in the graph to display the expected result for scattering characteristics. The proposed algorithm has a wide radius of convergence due to the use of Chebyshev polynomials and improves calculation speed because Clenshaw-Lord-type Pade approximation requires fewer sampling points than Maehly-type Pade approximation in the derivation of the rational function. The results of the proposed method agree very well with the exact solution and reveal its possibility of obtaining more accurate solution than the asymptotic waveform evaluation technique.

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