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

doi:10.1109/EuCAP.2014.6902029

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 proceeding › Conference 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 language	English
Title of host publication	8th European Conference on Antennas and Propagation, EuCAP 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1353-1355
Number of pages	3
ISBN (Electronic)	9788890701849
DOIs	https://doi.org/10.1109/EuCAP.2014.6902029
Publication status	Published - 2014
Event	8th European Conference on Antennas and Propagation, EuCAP 2014 - The Hague, Netherlands Duration: 2014 Apr 6 → 2014 Apr 11

Publication series

Name	8th European Conference on Antennas and Propagation, EuCAP 2014

Other

Other	8th European Conference on Antennas and Propagation, EuCAP 2014
Country	Netherlands
City	The Hague
Period	14/4/6 → 14/4/11

All Science Journal Classification (ASJC) codes

Computer Networks and Communications
Electrical and Electronic Engineering

Access to Document

10.1109/EuCAP.2014.6902029

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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] (8th European Conference on Antennas and Propagation, EuCAP 2014). 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 (8th European Conference on Antennas and Propagation, EuCAP 2014).

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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.",

author = "Jeong, {Yi Ru} and Hong, {Ic Pyo} and Chun, {Heoung Jae} and Park, {Yong Bae} and Kim, {Youn Jae} and Yook, {Jong Gwan}",

note = "Publisher Copyright: {\textcopyright} 2014 European Association on Antennas and Propagation. Copyright: Copyright 2015 Elsevier B.V., All rights reserved.; 8th European Conference on Antennas and Propagation, EuCAP 2014 ; Conference date: 06-04-2014 Through 11-04-2014",

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doi = "10.1109/EuCAP.2014.6902029",

language = "English",

series = "8th European Conference on Antennas and Propagation, EuCAP 2014",

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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, 8th European Conference on Antennas and Propagation, EuCAP 2014, 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 (8th European Conference on Antennas and Propagation, EuCAP 2014).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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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. (8th European Conference on Antennas and Propagation, EuCAP 2014). https://doi.org/10.1109/EuCAP.2014.6902029