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For the two-dimensional (2D) 8-fold solid-fluid quasi-periodic photonic nanocrystal (QPNC) (steel-water system), the transmission spectra of the systems with different sizes are obtained by experimentation. At the same time, combined with the supercell method, the finite element method (FEM) is used to calculate the dispersion curves and transmission spectrum of the system. The transmission spectra obtained by means of these two methods are in good agreement with each other, but the band gaps appearing in the transmission spectrum calculated using the FEM are clearer than those obtained via experimentation. The dispersion curves of the 2D 8-fold solid-fluid QPNC can be well studied by using the supercell which only contains its center puzzle.
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Keywords:
- quasi-periodic /
- phononic crystal /
- band gap
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[2] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[3] John S 1987 Phys. Rev. Lett. 58 2486
[4] Shechtman D, Blech I, Cratias D, Cahn J W 1984 Phys. Rev. Lett. 53 1951
[5] Levine D, Steinhardt P J 1984 Phys. Rev. Lett. 53 2477
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[7] Li W, Xie L Y 2013 Chin. Phys. B 22 036201
[8] Steurer W, Sutter-Widmer D 2007 J. Phys. D: Appl. Phys. 40 R229
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[11] Jin C J, Cheng B Y, Man B Y, Li Z L, Zhang D Z 2000 Phys. Rev. B 61 10762
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[19] Chen A L, Wang Y S, Yu G L, Guo Y F, Wang Z D 2008 Acta Mech. Solida Sin. 21 517
[20] Zhang M, Geng X G, Zhang Y, Wang X N 2012 Acta Phys. Sin. 61 194702 (in Chinese) [张盟, 耿兴国, 张瑶, 王晓娜 2012 61 194702]
[21] Gao P, Geng X G, Ou X L, Xue W H 2009 Acta Phys. Sin. 58 421 (in Chinese) [高鹏, 耿兴国, 欧修龙, 薛文辉 2009 58 421]
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[23] Sutter-Windmer D, Deloudi S, Steurer W 2007 Phys. Rev. B 75 094304
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[25] Lai Y, Zhang X D, Zhang Z Q 2002 J. Appl. Phys. 91 6191
[26] Lai Y, Zhang Z Q 2005 Z. Kristallogr. 220 877
[27] Chen J Z 1993 J. China Univ. Geosci. 18 (extra-special) 13 (in Chinese) [陈敬中 1993 地球科学-中国地质大学学报 18 (增刊) 13]
[28] Hu C Z, Yang W G, Wang R H, Ding D H 1997 Prog. Phys. 17 345 (in Chinese) [胡承正, 杨文革, 王仁卉, 丁棣华 1997 物理学进展 17 345]
[29] Shi N C, Min L Q, Shen B M 1991 Sci. China B 11 1216 (in Chinese) [施倪承, 闵乐泉, 沈步明 1991 中国科学 B 11 1216]
[30] Miklowitz J 1978 The Theory of Elastic Waves and Waveguides (New York: North-Holland Publishing Company) p46
[31] Huang K, Han R Q (adapt) 1988 Solid State Physics (Beijing: Higher Education Press) p154 (in Chinese) [黄昆著, 韩汝琦改编 1988 固体物理学(北京: 高等教育出版社)第154页]
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[1] Kushwaha M S, Halevi P, Dobrzynski L, Djafari-Rouhani B 1993 Phys. Rev. Lett. 71 2022
[2] Yablonovitch E 1987 Phys. Rev. Lett. 58 2059
[3] John S 1987 Phys. Rev. Lett. 58 2486
[4] Shechtman D, Blech I, Cratias D, Cahn J W 1984 Phys. Rev. Lett. 53 1951
[5] Levine D, Steinhardt P J 1984 Phys. Rev. Lett. 53 2477
[6] Fan T Y, Xie L Y, Fan L, Wang Q Z 2011 Chin. Phys. B 20 076102
[7] Li W, Xie L Y 2013 Chin. Phys. B 22 036201
[8] Steurer W, Sutter-Widmer D 2007 J. Phys. D: Appl. Phys. 40 R229
[9] Zhang X D, Zhang Z Q, Chan C T 2001 Phys. Rev. B 63 081105
[10] Feng Z F, Liu R J, Li Z Y 2009 Acta Phys. Sin. 58 1948 (in Chinese) [冯志芳, 刘荣鹃, 李志远 2009 58 1948]
[11] Jin C J, Cheng B Y, Man B Y, Li Z L, Zhang D Z 2000 Phys. Rev. B 61 10762
[12] Luo Q 2002 J. Nanjing Normal Univ.(Natural Sci.) 25 110 (in Chinese) [罗青 2002 南京师大学报(自然科学版) 25 110]
[13] Fang Y T, Wang Y S, Jiang G 2004 Appl. Acoust. 23 23 (in Chinese) [方云团, 王永顺, 姜光 2004 应用声学 23 23]
[14] Cao Y J, Cao C H, Zhou P Q 2006Acta Phys. Sin. 55 6470 (in Chinese) [曹永军, 曹纯红, 周培勤 2006 55 6470]
[15] Sesion Jr P D, Albuquerque E L, Chesman C, Freier V N 2007 Eur. Phys. J. B 58 379
[16] Gao J, Cheng J C, Li B W 2007 Appl. Phys. Lett. 90 111908
[17] Chen A L, Wang Y S 2008 Appl. Acoust. 27 69 (in Chinese) [陈阿丽, 汪越胜 2008 应用声学 27 69]
[18] Chen A L, Wang Y S, Guo Y F, Wang Z D 2008 Solid State Commun. 145 103
[19] Chen A L, Wang Y S, Yu G L, Guo Y F, Wang Z D 2008 Acta Mech. Solida Sin. 21 517
[20] Zhang M, Geng X G, Zhang Y, Wang X N 2012 Acta Phys. Sin. 61 194702 (in Chinese) [张盟, 耿兴国, 张瑶, 王晓娜 2012 61 194702]
[21] Gao P, Geng X G, Ou X L, Xue W H 2009 Acta Phys. Sin. 58 421 (in Chinese) [高鹏, 耿兴国, 欧修龙, 薛文辉 2009 58 421]
[22] Sutter-Windmer D, Deloudi S, Steurer W 2007 Phil. Mag. 87 3095
[23] Sutter-Windmer D, Deloudi S, Steurer W 2007 Phys. Rev. B 75 094304
[24] Sutter-Windmer D, Steurer W 2007 Phys. Rev. B 75 134303
[25] Lai Y, Zhang X D, Zhang Z Q 2002 J. Appl. Phys. 91 6191
[26] Lai Y, Zhang Z Q 2005 Z. Kristallogr. 220 877
[27] Chen J Z 1993 J. China Univ. Geosci. 18 (extra-special) 13 (in Chinese) [陈敬中 1993 地球科学-中国地质大学学报 18 (增刊) 13]
[28] Hu C Z, Yang W G, Wang R H, Ding D H 1997 Prog. Phys. 17 345 (in Chinese) [胡承正, 杨文革, 王仁卉, 丁棣华 1997 物理学进展 17 345]
[29] Shi N C, Min L Q, Shen B M 1991 Sci. China B 11 1216 (in Chinese) [施倪承, 闵乐泉, 沈步明 1991 中国科学 B 11 1216]
[30] Miklowitz J 1978 The Theory of Elastic Waves and Waveguides (New York: North-Holland Publishing Company) p46
[31] Huang K, Han R Q (adapt) 1988 Solid State Physics (Beijing: Higher Education Press) p154 (in Chinese) [黄昆著, 韩汝琦改编 1988 固体物理学(北京: 高等教育出版社)第154页]
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