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To explain the change of the waveguide invariant β caused by the internal wave, the waveguide invariant is expressed as a stochastic distribution and the time-varying characteristics of β are analyzed; then the cause and principle of variation of β are discussed in terms of the normal modes theory of the acoustic field. It turns out that the waveguide invariant shows great frequency-dependent characteristics. And in the internal wave environment, when the sound is propagated parallel to the internal wave front, the sound field's composition of normal modes remains unchanged, but the turbulence in the group slowness and phase slowness of the main normal modes in the sound field may also change the distribution of β; when the sound is propagated perpendicular to the internal wave front, the coupling between acoustic normal modes might also cause obvious changes in the values of β.
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Keywords:
- thermocline /
- internal wave/tide /
- sound field /
- waveguide invaraiant
[1] Chuprov S D 1982 Ocean Acoustic: Current State, Ed. By Brekhovskikh L M and Andreevoi I B (Nauka, Moscow),71
[2] Brekhovskikh L M, Lysanov Y P 1991 Fundamentals of Ocean Acoustics (2nd edition) (NewYork: Springer) pp140-145
[3] Thode A M, Kuperman W A, D’Spain G L, Hodgkiss W S 2000 J. Acoust. Soc. Am. 107 278
[4] Thode A M 2000 J. Acoust. Soc. Am. 108 1582
[5] Zhao Z D, Wang N, Gao D Z, Wang H Z 2010 Chin. Phys. Lett. 27 064301
[6] Turgut A, Orr M, Rouseff D 2010 J. Acoust. Soc. Am. 127 73
[7] Li Q H, Wang L, Wei C H, Li Y, Ma X J, Yu H C 2011 Acta Acustica 36 253(in Chinese) [李启虎, 王磊, 卫翀华, 李嶷, 马雪洁, 于海春 2011 声学学报 36 253]
[8] Yu Y, Hui J Y, Yin J W, Hui J, Wang Z J 2011 Acta Acustica 36 258(in Chinese) [余赟, 惠俊英, 殷敬伟, 惠娟, 王自娟 2011 声学学报 36 258]
[9] Hailiang Tao, Jeffrey L. Krolik 2008 J. Acoust. Soc. Am. 123 1338
[10] Lin W S, Liang G L, Fu J, Zhang G P 2013 Acta Phys. Sin. 62 144301(in Chinese) [林旺生, 梁国龙, 付进, 张光普 2013 物理学报 62 144301]
[11] Lin W S, Liang G L, Wang Y 2014 Acta Phys. Sin. 63 034306(in Chinese) [林旺生, 梁国龙, 王燕 2014 物理学报 63 034306]
[12] Su X X, Zhang R H, Li F H 2006 Acta Acustica 31 305 (in Chinese) (in Chinese) [苏晓星, 张仁和, 李风华 2006 声学学报 31 305]
[13] Wang N, Gao D Z, Wang H Z 2010 J. Harbin Eng. Univ. 31 825(in Chinese) [王宁, 高大治, 王好忠 2010 哈尔滨工程大学学报 31 825]
[14] Heany K D 2004 IEEE-JOE 29 88
[15] Ren Q Y, Hermand J P, Piao S C 2011 Proceedings of ICTCA 2011, Taipei
[16] Gervaise C, Kinda B G., Bonnel J, Stephan Y, Vallez S 2012 J. Acoust. Soc. Am. 131 1999
[17] Shang E C, Wu J R, Zhao Z D 2012 J. Acoust. Soc. Am. 131 3691
[18] Shang E C, Wang D Z 2013 Underwater Acoustic (2nd Edition) (Beijing: Science Press) pp445 (in Chinese) [尚尔昌, 汪德昭2013水声学(第二版) (北京: 科学出版社) 445]
[19] Rouseff D 2001 Waves Random Media 11 377
[20] An L, Wang Z Q, Lu J R 2008 Acta Elec. Sin. 30 2930(in Chinese) [安良, 王志强, 陆佶人 2008 电子与信息学报 30 2930]
[21] Tian L A, Liu F C, Zhou S H 2009 Acoustics and Electronics Engineering 96 22(in Chinese) [田玲爱, 刘福臣, 周士弘 2009 声学与电子工程 96 22]
[22] Wang N, Zhang H Q, Wang H Z, Gao D Z 2010 Acta Acustica 35 38(in Chinese) [王宁, 张海青, 王好忠, 高大治 2010 声学学报 35 38]
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[1] Chuprov S D 1982 Ocean Acoustic: Current State, Ed. By Brekhovskikh L M and Andreevoi I B (Nauka, Moscow),71
[2] Brekhovskikh L M, Lysanov Y P 1991 Fundamentals of Ocean Acoustics (2nd edition) (NewYork: Springer) pp140-145
[3] Thode A M, Kuperman W A, D’Spain G L, Hodgkiss W S 2000 J. Acoust. Soc. Am. 107 278
[4] Thode A M 2000 J. Acoust. Soc. Am. 108 1582
[5] Zhao Z D, Wang N, Gao D Z, Wang H Z 2010 Chin. Phys. Lett. 27 064301
[6] Turgut A, Orr M, Rouseff D 2010 J. Acoust. Soc. Am. 127 73
[7] Li Q H, Wang L, Wei C H, Li Y, Ma X J, Yu H C 2011 Acta Acustica 36 253(in Chinese) [李启虎, 王磊, 卫翀华, 李嶷, 马雪洁, 于海春 2011 声学学报 36 253]
[8] Yu Y, Hui J Y, Yin J W, Hui J, Wang Z J 2011 Acta Acustica 36 258(in Chinese) [余赟, 惠俊英, 殷敬伟, 惠娟, 王自娟 2011 声学学报 36 258]
[9] Hailiang Tao, Jeffrey L. Krolik 2008 J. Acoust. Soc. Am. 123 1338
[10] Lin W S, Liang G L, Fu J, Zhang G P 2013 Acta Phys. Sin. 62 144301(in Chinese) [林旺生, 梁国龙, 付进, 张光普 2013 物理学报 62 144301]
[11] Lin W S, Liang G L, Wang Y 2014 Acta Phys. Sin. 63 034306(in Chinese) [林旺生, 梁国龙, 王燕 2014 物理学报 63 034306]
[12] Su X X, Zhang R H, Li F H 2006 Acta Acustica 31 305 (in Chinese) (in Chinese) [苏晓星, 张仁和, 李风华 2006 声学学报 31 305]
[13] Wang N, Gao D Z, Wang H Z 2010 J. Harbin Eng. Univ. 31 825(in Chinese) [王宁, 高大治, 王好忠 2010 哈尔滨工程大学学报 31 825]
[14] Heany K D 2004 IEEE-JOE 29 88
[15] Ren Q Y, Hermand J P, Piao S C 2011 Proceedings of ICTCA 2011, Taipei
[16] Gervaise C, Kinda B G., Bonnel J, Stephan Y, Vallez S 2012 J. Acoust. Soc. Am. 131 1999
[17] Shang E C, Wu J R, Zhao Z D 2012 J. Acoust. Soc. Am. 131 3691
[18] Shang E C, Wang D Z 2013 Underwater Acoustic (2nd Edition) (Beijing: Science Press) pp445 (in Chinese) [尚尔昌, 汪德昭2013水声学(第二版) (北京: 科学出版社) 445]
[19] Rouseff D 2001 Waves Random Media 11 377
[20] An L, Wang Z Q, Lu J R 2008 Acta Elec. Sin. 30 2930(in Chinese) [安良, 王志强, 陆佶人 2008 电子与信息学报 30 2930]
[21] Tian L A, Liu F C, Zhou S H 2009 Acoustics and Electronics Engineering 96 22(in Chinese) [田玲爱, 刘福臣, 周士弘 2009 声学与电子工程 96 22]
[22] Wang N, Zhang H Q, Wang H Z, Gao D Z 2010 Acta Acustica 35 38(in Chinese) [王宁, 张海青, 王好忠, 高大治 2010 声学学报 35 38]
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