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Transmission characteristics of elastic wave in solid-solid cylindrical phononic crystal are obtained under condition of restrictied transrerse elastic wave, and the characteristics of mode is studied. Transmission characteristics of elastic wave versus mode quantum number and cylinder radius are calculated by the transfer matrix method. The new characteristics of elastic wave in solid-solid cylindrical phononic crystal are obtained. Transmission characteristics of elastic wave are determined by the mode quantum number and cylinder radius.
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Keywords:
- cylindrical phononic crystal /
- elastic wave /
- restrictions /
- mode
[1] Kushwaha M S 1993 Phys. Rev.Lett. 71 2022
[2] Luan P G,Ye Z 2001 Phys. Rev.E 63 066611
[3] Jesen J S 2003 Journal of Sound and Vibration 266 1053
[4] Wang G, Yu D L, Wen J H 2004 Physics Letters A 327 512
[5] Martin H 2004 Applied physics Letters 84 3364
[6] Cai L, Han X Y, Wen X S 2007 Acta Phys. Sin. 57 1747(in Chinese) [蔡 力、韩小云、温熙森 2007 物理学报 57 1747]
[7] Zhong L H, Wu H G 2009 Acta Phys. Sin. 58 6363 (in Chinese) [钟兰花、吴福根 2009 物理学报 58 6363]
[8] CaoY Y, Dong C H,Zhou P Q 2006 Acta Phys. Sin. 55 6470(in Chinese)[曹永军、董纯红、周培勤 2006 物理学报 55 6470]
[9] Wen J H, Wang G, Liu Y Z 2004 Acta Phys. Sin. 53 3384(in Chinese)[温激鸿、王 刚、刘耀宗 2004 物理学报53 3384]
[10] Wang G, Liu Z Y, Zhao D G 2006 Acta Phys. Sin. 55 4744(in Chinese)[王文刚、刘正猷、 赵德刚 2006 物理学报 55 4744]
[11] Cao Y Y,Yang X 2008 Acta Phys. Sin. 57 2620(in Chinese)[曹永军、杨 旭 2008 物理学报57 2620]
[12] You D L,Liu Y Z, Wang G 2006 Journal of Vibration and Shock 25 104 (in Chinese)[郁殿龙、刘耀宗、王 刚 2006 振动与冲击 25 104]
[13] Liu Q N 2009 Journal of Synthetic Crystals 38 107(in Chinese)[刘启能 2009 人工晶体学报 38 107]
[14] Liu Q N 2008 Journal of Vibration and Shock 27117(in Chinese)[刘启能 2008 振动与冲击 27 117]
[15] Liu Q N 2009 Journal of Vibration and Shock 28 84 (in Chinese)[刘启能 2009 振动与冲击 28 84]
[16] Liu Q N 2009 Chinese Journal of Applied Mechanics 26 398(in chinese)[刘启能2009 应用力学学报,26 398]
[17] Liu Q N 2010 Acta Phys. Sin. 59 2551(in Chinese)[刘启能 2010 物理学报 59 2551]
[18] Cao Y J, Yang X J, Zi L 2009 Acta Phys. Sin. 58 7736 (in Chinese)[曹永军、杨 旭、姜自磊 2009 物理学报 58 7736]
[19] Wu C S 2003 Methods of Mathematical Physics (Peking University Press ) [吴崇试 2003 数学物理方法 (北京大学出版社)]
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[1] Kushwaha M S 1993 Phys. Rev.Lett. 71 2022
[2] Luan P G,Ye Z 2001 Phys. Rev.E 63 066611
[3] Jesen J S 2003 Journal of Sound and Vibration 266 1053
[4] Wang G, Yu D L, Wen J H 2004 Physics Letters A 327 512
[5] Martin H 2004 Applied physics Letters 84 3364
[6] Cai L, Han X Y, Wen X S 2007 Acta Phys. Sin. 57 1747(in Chinese) [蔡 力、韩小云、温熙森 2007 物理学报 57 1747]
[7] Zhong L H, Wu H G 2009 Acta Phys. Sin. 58 6363 (in Chinese) [钟兰花、吴福根 2009 物理学报 58 6363]
[8] CaoY Y, Dong C H,Zhou P Q 2006 Acta Phys. Sin. 55 6470(in Chinese)[曹永军、董纯红、周培勤 2006 物理学报 55 6470]
[9] Wen J H, Wang G, Liu Y Z 2004 Acta Phys. Sin. 53 3384(in Chinese)[温激鸿、王 刚、刘耀宗 2004 物理学报53 3384]
[10] Wang G, Liu Z Y, Zhao D G 2006 Acta Phys. Sin. 55 4744(in Chinese)[王文刚、刘正猷、 赵德刚 2006 物理学报 55 4744]
[11] Cao Y Y,Yang X 2008 Acta Phys. Sin. 57 2620(in Chinese)[曹永军、杨 旭 2008 物理学报57 2620]
[12] You D L,Liu Y Z, Wang G 2006 Journal of Vibration and Shock 25 104 (in Chinese)[郁殿龙、刘耀宗、王 刚 2006 振动与冲击 25 104]
[13] Liu Q N 2009 Journal of Synthetic Crystals 38 107(in Chinese)[刘启能 2009 人工晶体学报 38 107]
[14] Liu Q N 2008 Journal of Vibration and Shock 27117(in Chinese)[刘启能 2008 振动与冲击 27 117]
[15] Liu Q N 2009 Journal of Vibration and Shock 28 84 (in Chinese)[刘启能 2009 振动与冲击 28 84]
[16] Liu Q N 2009 Chinese Journal of Applied Mechanics 26 398(in chinese)[刘启能2009 应用力学学报,26 398]
[17] Liu Q N 2010 Acta Phys. Sin. 59 2551(in Chinese)[刘启能 2010 物理学报 59 2551]
[18] Cao Y J, Yang X J, Zi L 2009 Acta Phys. Sin. 58 7736 (in Chinese)[曹永军、杨 旭、姜自磊 2009 物理学报 58 7736]
[19] Wu C S 2003 Methods of Mathematical Physics (Peking University Press ) [吴崇试 2003 数学物理方法 (北京大学出版社)]
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