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The multiband properties of self-similar fractals can be used to design multiband single-layer frequency selective surfaces (FSS). Combined with Floquet periodic boundary conditions, the moments method is applied to characterize the second-order Y-loop fractal FSS frequency response to different valuses of iterative scaling factor F and lattice as the incidence varies, and then the estimated empirical constant is obtained. Experimental results show good correlation to the calculations, indicating that the resonant frequencies are mainly determined by the iteration factor and the initial unit size,while the lattice impacts the transmission coefficient and bandwidth apparently.
[1] Mittra R, Chan C H, Cwik T 1988 IEEE Proc. 76 1593
[2] Li X Q, Feng X G, Gao J S 2008 Acta Phys. Sin. 57 3193(in Chinese)[李小秋、冯晓国、高劲松 2008 57 3193]
[3] Li X Q, Gao J S, Zhao J L,Sun L C 2008 Acta Phys. Sin. 57 3803(in Chinese)[李小秋、高劲松、赵晶丽、孙连春 2008 57 3803]
[4] Kraus J D, Marhefka R J (translated by Zhang W X) 2006 Antennas (Beijing: Electronic Industry Press) pp523—525 (in Chinese)[约翰 ·马赫弗卡著,章文勋译 2006 天线 (北京:电子工业出版社)第523—第525页] 〖5] Romeu J, Rahmat-Samii Y 1999 IEEE Proc.Int. AP-S Symp. 3 1734
[5] Gianvittorio J P, Rahamat-Samii Y, Romeu J 2001 IEEE Proc. Int. AP-S Symp. 3 640
[6] Gianvittorio J P, Romeu J, Blanch S, Rahamat-Samii Y 2003 IEEE Trans. Antennas Propagat. 51 3088
[7] Munk B A 2000 Frequency Selective Surface: Theory and Design (New York: Wiley) pp69—81
[8] Jia H Y, Gao J S, Feng X G, Sun L C 2009 Acta Phys.Sin. 58 505(in Chinese)[贾宏燕、高劲松、冯晓国、孙连春 2009 58 505]
[9] Sheng X Q 2004 Computional Electromagnetics (Beijing: Science Press) p133 (in Chinese)[盛新庆 2004 计算电磁学要论(北京:科学出版社)第133页]
[10] Goldsmith P F, Gill G J 1986 Microwave J. 29 207
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[1] Mittra R, Chan C H, Cwik T 1988 IEEE Proc. 76 1593
[2] Li X Q, Feng X G, Gao J S 2008 Acta Phys. Sin. 57 3193(in Chinese)[李小秋、冯晓国、高劲松 2008 57 3193]
[3] Li X Q, Gao J S, Zhao J L,Sun L C 2008 Acta Phys. Sin. 57 3803(in Chinese)[李小秋、高劲松、赵晶丽、孙连春 2008 57 3803]
[4] Kraus J D, Marhefka R J (translated by Zhang W X) 2006 Antennas (Beijing: Electronic Industry Press) pp523—525 (in Chinese)[约翰 ·马赫弗卡著,章文勋译 2006 天线 (北京:电子工业出版社)第523—第525页] 〖5] Romeu J, Rahmat-Samii Y 1999 IEEE Proc.Int. AP-S Symp. 3 1734
[5] Gianvittorio J P, Rahamat-Samii Y, Romeu J 2001 IEEE Proc. Int. AP-S Symp. 3 640
[6] Gianvittorio J P, Romeu J, Blanch S, Rahamat-Samii Y 2003 IEEE Trans. Antennas Propagat. 51 3088
[7] Munk B A 2000 Frequency Selective Surface: Theory and Design (New York: Wiley) pp69—81
[8] Jia H Y, Gao J S, Feng X G, Sun L C 2009 Acta Phys.Sin. 58 505(in Chinese)[贾宏燕、高劲松、冯晓国、孙连春 2009 58 505]
[9] Sheng X Q 2004 Computional Electromagnetics (Beijing: Science Press) p133 (in Chinese)[盛新庆 2004 计算电磁学要论(北京:科学出版社)第133页]
[10] Goldsmith P F, Gill G J 1986 Microwave J. 29 207
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