Fast analysis over a wide band using Chebyshev approximation with Clenshaw-Lord approximation

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

Pade-Chebyshev approximation with Clenshaw-Lord type approximation is presented for wide-band analysis with method of moments (MoM). The surface currents can be expanded in a Chebyshev series. To improve bandwidth and accuracy of the expected results, a rational function is obtained from Chebyshev series with Clenshaw-Lord type approximation. Also, Chebyshev polynomials such as first, third, and fourth kinds are used to express the singular points in the graph. To validate the proposed method, radar cross section (RCS) of numerical examples such as perfect electric conductor (PEC) sphere, plate, and periodic structure are obtained. The Pade-Chebyshev approximation with Clenshaw-Lord type approximation agreed well with the exact solution.

Original languageEnglish
Title of host publication8th European Conference on Antennas and Propagation, EuCAP 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1353-1355
Number of pages3
ISBN (Electronic)9788890701849
DOIs
Publication statusPublished - 2014 Jan 1
Event8th European Conference on Antennas and Propagation, EuCAP 2014 - The Hague, Netherlands
Duration: 2014 Apr 62014 Apr 11

Other

Other8th European Conference on Antennas and Propagation, EuCAP 2014
CountryNetherlands
CityThe Hague
Period14/4/614/4/11

Fingerprint

Chebyshev approximation
Electric conductors
Rational functions
Radar cross section
Periodic structures
Method of moments
Polynomials
Bandwidth

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Electrical and Electronic Engineering

Cite this

Jeong, Y. R., Hong, I. P., Chun, H. J., Park, Y. B., Kim, Y. J., & Yook, J. G. (2014). Fast analysis over a wide band using Chebyshev approximation with Clenshaw-Lord approximation. In 8th European Conference on Antennas and Propagation, EuCAP 2014 (pp. 1353-1355). [6902029] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/EuCAP.2014.6902029
Jeong, Yi Ru ; Hong, Ic Pyo ; Chun, Heoung Jae ; Park, Yong Bae ; Kim, Youn Jae ; Yook, Jong Gwan. / Fast analysis over a wide band using Chebyshev approximation with Clenshaw-Lord approximation. 8th European Conference on Antennas and Propagation, EuCAP 2014. Institute of Electrical and Electronics Engineers Inc., 2014. pp. 1353-1355
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Jeong, YR, Hong, IP, Chun, HJ, Park, YB, Kim, YJ & Yook, JG 2014, Fast analysis over a wide band using Chebyshev approximation with Clenshaw-Lord approximation. in 8th European Conference on Antennas and Propagation, EuCAP 2014., 6902029, Institute of Electrical and Electronics Engineers Inc., pp. 1353-1355, 8th European Conference on Antennas and Propagation, EuCAP 2014, The Hague, Netherlands, 14/4/6. https://doi.org/10.1109/EuCAP.2014.6902029

Fast analysis over a wide band using Chebyshev approximation with Clenshaw-Lord approximation. / Jeong, Yi Ru; Hong, Ic Pyo; Chun, Heoung Jae; Park, Yong Bae; Kim, Youn Jae; Yook, Jong Gwan.

8th European Conference on Antennas and Propagation, EuCAP 2014. Institute of Electrical and Electronics Engineers Inc., 2014. p. 1353-1355 6902029.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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N2 - Pade-Chebyshev approximation with Clenshaw-Lord type approximation is presented for wide-band analysis with method of moments (MoM). The surface currents can be expanded in a Chebyshev series. To improve bandwidth and accuracy of the expected results, a rational function is obtained from Chebyshev series with Clenshaw-Lord type approximation. Also, Chebyshev polynomials such as first, third, and fourth kinds are used to express the singular points in the graph. To validate the proposed method, radar cross section (RCS) of numerical examples such as perfect electric conductor (PEC) sphere, plate, and periodic structure are obtained. The Pade-Chebyshev approximation with Clenshaw-Lord type approximation agreed well with the exact solution.

AB - Pade-Chebyshev approximation with Clenshaw-Lord type approximation is presented for wide-band analysis with method of moments (MoM). The surface currents can be expanded in a Chebyshev series. To improve bandwidth and accuracy of the expected results, a rational function is obtained from Chebyshev series with Clenshaw-Lord type approximation. Also, Chebyshev polynomials such as first, third, and fourth kinds are used to express the singular points in the graph. To validate the proposed method, radar cross section (RCS) of numerical examples such as perfect electric conductor (PEC) sphere, plate, and periodic structure are obtained. The Pade-Chebyshev approximation with Clenshaw-Lord type approximation agreed well with the exact solution.

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Jeong YR, Hong IP, Chun HJ, Park YB, Kim YJ, Yook JG. Fast analysis over a wide band using Chebyshev approximation with Clenshaw-Lord approximation. In 8th European Conference on Antennas and Propagation, EuCAP 2014. Institute of Electrical and Electronics Engineers Inc. 2014. p. 1353-1355. 6902029 https://doi.org/10.1109/EuCAP.2014.6902029