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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.
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Keywords:
- frequency selective surface /
- active frequency selective surface /
- transfer function /
- lumped parameters
[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 物理学报 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 物理学报 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 物理学报 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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[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 物理学报 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 物理学报 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 物理学报 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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