Study on the lumped parameters of FSS in terms of the transfer function

Jiao Jian; Gao Jin-Song; Xu Nian-Xi; Feng Xiao-Guo; Hu Hai-Xiang

doi:10.7498/aps.63.137301

Abstract

Equivalent circuit method is a principal one to analyze the active frequency selective surface (FSS). Extracting its lumped parameters is the key to the equivalent circuit method. We have constructed the transfer function based on the traditional equivalent circuit method and the transmission line theory. A matrix equation composed of lumped parameters is set up utilizing the relationship between the equivalent impedance and transmission peak. The equivalent lumped parameters are solved by the least square method, and the FSS frequency response curves are obtained from the transfer function. Compared with the full wave analysis method, the calculated results are in good agreement with that of simulation. Such results verify the accuracy and reliability of the method presented in this paper, and provide a theoretical reference to active FSS analysis using the equivalent circuit method.

Keywords:

Authors and contacts

1.
Key Laboratory of Optical System Advanced Manufacturing Technology, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China;
2.
University of Chinese Academy of Sciences, Beijing 100049, China
Funds: Project supported by CIOMP the third innovation (Grant No. 093Y32J090).

References

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[2]	Wang X Z, Gao J S, Xu N X, Liu H 2014 Chin. Phys. B 23 047303
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[6]	Jia H Y, Feng X G, Sheng C X 2012 Chin. Phys. B 21 054102
[7]	Lin B Q, Qu S B, Tong C M, Zhou H, Zhang H Y, and L W 2013 Chin. Phys. B 22 094103
[8]	Munk B A 2000 Frequency Selective Surface:theory and design (1st Ed.) (New York: Wiley)
[9]	Divrpvla R, Vazquez J, Parini C, Moore D 2006 IEE Proc. Microwaves Antenn. Propag. 153 213
[10]	Shamonin M, Shamonina E, Kalinin V, Solymar L 2004 J. Appl. Phys. 95 3778
[11]	Aznar F, Gil M, Bonache J, Jelinek L, Baena J D, Marques R, Martin F 2008 J. Appl. Phys. 104 114501
[12]	Liu L G Wu W W Mo J J Fu Y Q Yuan N C 2013 Chin. Phys. B 22 047802
[13]	Hokmabadi M P, Wilbert D S, Kung P, Kim S M 2013 Opt. Express 21 16455
[14]	Lee C K, Langley R J 1985 Proc. Inst. Elect. Eng. & mdash, Microwaves, Opt. Antennas 132 395
[15]	Anderson 1975 Bell Syst. Tech. J. 54 1725
[16]	Jiao J, Xu N X, Feng X G, Liang F C, Zhao J L, Gao J S 2013 Acta Phys. Sin. 62 167306 (in Chinese) [焦健, 徐念喜, 冯晓国, 粱凤超, 赵晶丽, 高劲松 2013 62 167306]
[17]	Jiao J, Gao J S, Xu N X, Chen X 2013 Acta Phys. Sin. 62 197303 (in Chinese)[焦健, 高劲松, 徐念喜, 陈新 2013 62 197303]
[18]	Hu X D, Zhou X L, Wu L S, Zhou L, Yin W Y 2009 IEEE Antennas and Wireless Propag. Lett. 8 1374
[19]	Sanz-Izquierdo B, Paker E A, Robertson J B, Batchelor J C 2009 Electron. Lett. 45 1107

Cited By

[1]	Tang G M, Miao J G, Dong J M 2012 Chin. Phys. B 21 128401
[2]	Wang X Z, Gao J S, Xu N X, Liu H 2014 Chin. Phys. B 23 047303
[3]	Moallem M, Sarabandi K 2012 IEEE Trans. Terahertz Science Tech. 2 333
[4]	Xu N X, Feng X G, Wang Y S, Chen X, Gao J S 2011 Acta Phys. Sin. 60 114102 (in Chinese)[徐念喜, 冯晓国, 王岩松, 陈新, 高劲松 2011 60 114102]
[5]	Sanz-Izquierdo B, Parker E A, Batchelor J C 2011 IEEE Trans. Antennas Propag. 59 2728
[6]	Jia H Y, Feng X G, Sheng C X 2012 Chin. Phys. B 21 054102
[7]	Lin B Q, Qu S B, Tong C M, Zhou H, Zhang H Y, and L W 2013 Chin. Phys. B 22 094103
[8]	Munk B A 2000 Frequency Selective Surface:theory and design (1st Ed.) (New York: Wiley)
[9]	Divrpvla R, Vazquez J, Parini C, Moore D 2006 IEE Proc. Microwaves Antenn. Propag. 153 213
[10]	Shamonin M, Shamonina E, Kalinin V, Solymar L 2004 J. Appl. Phys. 95 3778
[11]	Aznar F, Gil M, Bonache J, Jelinek L, Baena J D, Marques R, Martin F 2008 J. Appl. Phys. 104 114501
[12]	Liu L G Wu W W Mo J J Fu Y Q Yuan N C 2013 Chin. Phys. B 22 047802
[13]	Hokmabadi M P, Wilbert D S, Kung P, Kim S M 2013 Opt. Express 21 16455
[14]	Lee C K, Langley R J 1985 Proc. Inst. Elect. Eng. & mdash, Microwaves, Opt. Antennas 132 395
[15]	Anderson 1975 Bell Syst. Tech. J. 54 1725
[16]	Jiao J, Xu N X, Feng X G, Liang F C, Zhao J L, Gao J S 2013 Acta Phys. Sin. 62 167306 (in Chinese) [焦健, 徐念喜, 冯晓国, 粱凤超, 赵晶丽, 高劲松 2013 62 167306]
[17]	Jiao J, Gao J S, Xu N X, Chen X 2013 Acta Phys. Sin. 62 197303 (in Chinese)[焦健, 高劲松, 徐念喜, 陈新 2013 62 197303]
[18]	Hu X D, Zhou X L, Wu L S, Zhou L, Yin W Y 2009 IEEE Antennas and Wireless Propag. Lett. 8 1374
[19]	Sanz-Izquierdo B, Paker E A, Robertson J B, Batchelor J C 2009 Electron. Lett. 45 1107

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