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For the analytic study of the defect mode of 1D doped phononic crystal, the multiple-beam interference method and Bloh theorem are adopted, the analytical formula of defect mode is derived and the defect mode of 1D doped phononic crystal is studied. The varition law of defect mode is obtained. The method in freed from the weaknewes of other methods that cannot carry on the analysis of defect mode. The method is valid and accurate method of studying the defect mode of 1D doped phononic crystal.
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Keywords:
- phononic crystal /
- acoustic waves /
- defect mode /
- analytic method
[1] Jesen J S 2003 Journal of Sound and Vibration 266 1053
[2] Wang G, Yu D L, Wen J H 2004Phys. Lett. A 327 512
[3] Cao Y J,Dong C H, Zhou P Q2006 Acta Phys. Sin. 55 6470 (in Chinese)[曹永军、董纯红、周培勤 2006 55 6470]
[4] 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 53 3384]
[5] Wang W 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 55 4744]
[6] Cao Y J, Yang X 2008 Acta Phys. Sin. 57 2620(in Chinese) [曹永军、杨 旭 2008 57 2620]
[7] Yu 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]
[8] Liu Q N 2008 Journal of synthetic crystals 37 179 (in Chinese) [刘启能 2008人工晶体学报37 179]
[9] Liu Q N 2009 Journal of synthetic crystals 38 107 (in Chinese) [刘启能 2009 人工晶体学报38 107]
[10] Liu Q N 2009 Chinese Journal of Applied Mechanics 26 397 (in Chinese) [刘启能 2009应用力学学报26 397]
[11] Liu Q N 2010 Chinese Journal of Computational Mechanics 27 151 (in Chinese) [刘启能 2010计算力学学报27 151]
[12] Cao Y J,Yang X, Jiang Z L 2009 Acta Phys. Sin. 58 7735 (in Chinese) [曹永军、杨 旭、姜自磊 2009 58 7735]
[13] Chen S B,Han X Y,Yu D L, Wen J H 2010 Acta Phys. Sin. 59 387 (in Chinese)[陈圣兵、韩小云、郁殿龙、温激鸿 2010 59 387]
[14] Liu Q N 2010 Acta Phys. Sin. 59 2551 (in Chinese)[刘启能 2010 59 2551]
[15] Liu Q N 2007 Chinese Journal of Lasers 34777 (in Chinese) [刘启能 2007中国激光200734777]
[16] Gao G Q,Ma S L,Jin F, Kim T B,Lu T J 2010 Acta Phys. Sin. 59 395 (in Chinese) [高国钦、马守林、金 峰、金东范、卢天健 2010 59 395]
[17] Li X C,Gao J L,Liu S E,Zhou K C, Huang B Y 2010 Acta Phys. Sin. 59 381(in Chinese) [李晓春、高俊丽、刘绍娥、 周科朝、黄伯云 2010 59 381]
[18] Max Bon, Emil Wolf Principles of Optics. Beijing Publishing House of Electronic INdustry 2005, p299—301
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[1] Jesen J S 2003 Journal of Sound and Vibration 266 1053
[2] Wang G, Yu D L, Wen J H 2004Phys. Lett. A 327 512
[3] Cao Y J,Dong C H, Zhou P Q2006 Acta Phys. Sin. 55 6470 (in Chinese)[曹永军、董纯红、周培勤 2006 55 6470]
[4] 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 53 3384]
[5] Wang W 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 55 4744]
[6] Cao Y J, Yang X 2008 Acta Phys. Sin. 57 2620(in Chinese) [曹永军、杨 旭 2008 57 2620]
[7] Yu 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]
[8] Liu Q N 2008 Journal of synthetic crystals 37 179 (in Chinese) [刘启能 2008人工晶体学报37 179]
[9] Liu Q N 2009 Journal of synthetic crystals 38 107 (in Chinese) [刘启能 2009 人工晶体学报38 107]
[10] Liu Q N 2009 Chinese Journal of Applied Mechanics 26 397 (in Chinese) [刘启能 2009应用力学学报26 397]
[11] Liu Q N 2010 Chinese Journal of Computational Mechanics 27 151 (in Chinese) [刘启能 2010计算力学学报27 151]
[12] Cao Y J,Yang X, Jiang Z L 2009 Acta Phys. Sin. 58 7735 (in Chinese) [曹永军、杨 旭、姜自磊 2009 58 7735]
[13] Chen S B,Han X Y,Yu D L, Wen J H 2010 Acta Phys. Sin. 59 387 (in Chinese)[陈圣兵、韩小云、郁殿龙、温激鸿 2010 59 387]
[14] Liu Q N 2010 Acta Phys. Sin. 59 2551 (in Chinese)[刘启能 2010 59 2551]
[15] Liu Q N 2007 Chinese Journal of Lasers 34777 (in Chinese) [刘启能 2007中国激光200734777]
[16] Gao G Q,Ma S L,Jin F, Kim T B,Lu T J 2010 Acta Phys. Sin. 59 395 (in Chinese) [高国钦、马守林、金 峰、金东范、卢天健 2010 59 395]
[17] Li X C,Gao J L,Liu S E,Zhou K C, Huang B Y 2010 Acta Phys. Sin. 59 381(in Chinese) [李晓春、高俊丽、刘绍娥、 周科朝、黄伯云 2010 59 381]
[18] Max Bon, Emil Wolf Principles of Optics. Beijing Publishing House of Electronic INdustry 2005, p299—301
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