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高对称型声子晶体自准直弯曲及分束

宋宗根 邓科 何兆剑 赵鹤平

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高对称型声子晶体自准直弯曲及分束

宋宗根, 邓科, 何兆剑, 赵鹤平

Bending and splitting of self-collimated beams in high symmetry sonic crystal

Song Zong-Gen, Deng Ke, He Zhao-Jian, Zhao He-Ping
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  • 基于二维六方晶格声子晶体的高对称性, 通过裁剪声子晶体模型, 实现声波自准直束60和120全反射弯曲, 证实点源声波的准直弯曲和亚波长成像. 在六方晶格声子晶体中引入线缺陷, 实现自准直束的60和120弯曲及分裂, 详细分析了缺陷尺寸对入射准直束的60(或120)弯曲声束与透射声束能量分配的影响. 本文的工作可以使基于自准直效应的应用更加灵活.
    Self-collimation, a peculiar effect that allows acoustic signals to propagate in sonic crystals (SCs) along a definite direction with almost no diffraction, possesses a promising prospect in integrated acoustics as it provides an effective way to transmit acoustic signals between on-chip functionalities. There exists, however, the intrinsic inability of self-collimation to efficiently bend and split acoustic signals. Most of existing schemes for bending and splitting of self-collimated acoustic beams are based on SC of square lattice, thus their bending and splitting angles are restricted to 90. In this paper, the finite element method is used to investigate self-collimation of acoustic beams in an SC of hexagonal lattice. It is shown that 60 and 120 bending of self-collimated acoustic waves can be simultaneously realized by simply truncating the two-dimensional hexagonal SC. Bended imaging for a point source with a subwavelength resolution of 0.38 0 can also be realized by truncating the SC structure. In addition, a scheme for 60 and 120 splitting of self-collimated acoustic waves is also proposed by introducing line-defects into the hexagonal SC. It is demonstrated that an incoming self-collimated beam can be split into a 60 (or 120 bended one and a transmitted one, with the power ratio adjusted by the value of defect size. We believe that this hexagonal-SC-based bending and splitting mechanism will offer more flexibilities to the beam control in the design of acoustic devices and will be useful in integrated acoustic applications.
      通信作者: 邓科, dengke@jsu.edu.cn;phhpzhao@jsu.edu.cn ; 赵鹤平, dengke@jsu.edu.cn;phhpzhao@jsu.edu.cn
    • 基金项目: 国家自然科学基金(批准号: 11464012, 11304119, 11264011, 11564012, 11564013)、 湖南省教育厅科学研究项目(批准号: 13A077, 13B091)和湖南省吉首大学(批准号: 14JDY040, JGY201502)资助的课题.
      Corresponding author: Deng Ke, dengke@jsu.edu.cn;phhpzhao@jsu.edu.cn ; Zhao He-Ping, dengke@jsu.edu.cn;phhpzhao@jsu.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11464012, 11304119, 11264011, 11564012, 11564013), the Natural Science Foundation of Education Department of Hunan Province, China (Grant Nos. 13B091, 13A077), and the Foundation of Jishou University, China (Grant Nos. 14JDY040, JGY201502).
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    Kushwaha M S, Halevi P, Dobrzynsi L, Djafari R B 1993 Phys. Rev. Lett. 71 2022

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    Qiu C Y, Liu Z Y, Mei J, Shi J 2005 Appl. Phys. Lett. 87 104101

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    Li X F, Ni X, Feng L, Lu M H, He C, Chen Y F 2011 Phys. Rev. Lett. 106 084301

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    Kosaka H, Kawashima T, Tomita A, Notomi M, Tamamura T, Sato T, Kawakami S 1999 Appl. Phys. Lett. 74 1370

    [7]

    Li Y Y, Gu P F, Li M Y, Zhang J L, Liu X 2006 Acta Phys. Sin. 55 2596 (in Chinese) [厉以宇, 顾培夫, 李明宇, 张锦龙, 刘旭 2006 物理学报 55 2596]

    [8]

    Feng S, Ren C, Wang W Z, Wang Y Q 2012 Chin. Phys. B 21 114212

    [9]

    Wu Z H, Xie K, Yang H J, Jiang P, He X J 2012 J. Opt. 14 015002

    [10]

    Chen L S, Kuo C H, Ye Z 2004 Appl. Phys. Lett. 85 1072

    [11]

    Perez-Arjona I, Sanchez-Morcillo V J, Redondo J, Espianosa V, Staliunas K 2007 Phys. Rev. B 75 014304

    [12]

    Shi J, Lin S, Huang P H 2008 Appl. Phys. Lett. 92 111901

    [13]

    Soliveres E, Espinosa V, Perez-Arjona I, Sanchez-Morcillo V J, Staliunas K 2009 Appl. Phys. Lett. 94 164101

    [14]

    Li B, Deng K, He Z J 2011 Appl. Phys. Lett. 99 051908

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    Li B, Guan J J, Deng K, Zhao H P 2012 J. Appl. Phys. 112 124514

    [16]

    Li J, Wu F G, Zhong H L, Yao Y W, Zhang X 2015 J. Appl. Phys. 118 144903

  • [1]

    Sigalas M M, Econonmou E N 1992 J. Sound Vib. 158 377

    [2]

    Kushwaha M S, Halevi P, Dobrzynsi L, Djafari R B 1993 Phys. Rev. Lett. 71 2022

    [3]

    Qiu C Y, Liu Z Y, Mei J, Shi J 2005 Appl. Phys. Lett. 87 104101

    [4]

    Li X F, Ni X, Feng L, Lu M H, He C, Chen Y F 2011 Phys. Rev. Lett. 106 084301

    [5]

    Qiu C Y, Zhang X D, Liu Z Y 2005 Phys. Rev. B 71 054302

    [6]

    Kosaka H, Kawashima T, Tomita A, Notomi M, Tamamura T, Sato T, Kawakami S 1999 Appl. Phys. Lett. 74 1370

    [7]

    Li Y Y, Gu P F, Li M Y, Zhang J L, Liu X 2006 Acta Phys. Sin. 55 2596 (in Chinese) [厉以宇, 顾培夫, 李明宇, 张锦龙, 刘旭 2006 物理学报 55 2596]

    [8]

    Feng S, Ren C, Wang W Z, Wang Y Q 2012 Chin. Phys. B 21 114212

    [9]

    Wu Z H, Xie K, Yang H J, Jiang P, He X J 2012 J. Opt. 14 015002

    [10]

    Chen L S, Kuo C H, Ye Z 2004 Appl. Phys. Lett. 85 1072

    [11]

    Perez-Arjona I, Sanchez-Morcillo V J, Redondo J, Espianosa V, Staliunas K 2007 Phys. Rev. B 75 014304

    [12]

    Shi J, Lin S, Huang P H 2008 Appl. Phys. Lett. 92 111901

    [13]

    Soliveres E, Espinosa V, Perez-Arjona I, Sanchez-Morcillo V J, Staliunas K 2009 Appl. Phys. Lett. 94 164101

    [14]

    Li B, Deng K, He Z J 2011 Appl. Phys. Lett. 99 051908

    [15]

    Li B, Guan J J, Deng K, Zhao H P 2012 J. Appl. Phys. 112 124514

    [16]

    Li J, Wu F G, Zhong H L, Yao Y W, Zhang X 2015 J. Appl. Phys. 118 144903

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  • 文章访问数:  2209
  • PDF下载量:  159
  • 被引次数: 0
出版历程
  • 收稿日期:  2015-12-21
  • 修回日期:  2016-01-20
  • 刊出日期:  2016-05-05

高对称型声子晶体自准直弯曲及分束

    基金项目: 

    国家自然科学基金(批准号: 11464012, 11304119, 11264011, 11564012, 11564013)、 湖南省教育厅科学研究项目(批准号: 13A077, 13B091)和湖南省吉首大学(批准号: 14JDY040, JGY201502)资助的课题.

摘要: 基于二维六方晶格声子晶体的高对称性, 通过裁剪声子晶体模型, 实现声波自准直束60和120全反射弯曲, 证实点源声波的准直弯曲和亚波长成像. 在六方晶格声子晶体中引入线缺陷, 实现自准直束的60和120弯曲及分裂, 详细分析了缺陷尺寸对入射准直束的60(或120)弯曲声束与透射声束能量分配的影响. 本文的工作可以使基于自准直效应的应用更加灵活.

English Abstract

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