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Reflection and refraction of waves in oscillatory media |
Gu Guo-Feng(顾国锋)†, LÜ Yao-Ping(吕耀平), and Tang Guo-Ning(唐国宁) |
College of Physics Science and Technology, Guangxi Normal University, Guilin 541004, China |
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Abstract This paper uses the two-dimensional Brusselator model to study reflection and refraction of chemical waves. It presents some boundary conditions of chemical waves, with which occurence of observed phenomena at interface as refraction and reflection of chemical waves can be interpreted. Moreover, the angle of reflection may be calculated by using the boundary conditions. It finds that reflection and refraction of chemical waves can occur simultaneously even if plane wave goes from a medium with higher speed to a medium with lower speed, provided the incident angle is larger than the critical angle.
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Received: 24 July 2009
Revised: 24 August 2009
Accepted manuscript online:
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PACS:
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05.45.-a
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(Nonlinear dynamics and chaos)
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02.30.Hq
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(Ordinary differential equations)
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Fund: 0547, 0340K |
Cite this article:
Gu Guo-Feng(顾国锋), LÜ Yao-Ping(吕耀平), and Tang Guo-Ning(唐国宁) Reflection and refraction of waves in oscillatory media 2010 Chin. Phys. B 19 050515
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[1] |
Zhabotinsky A M, Eager M D and Epstein I R 1993 Phys. Rev. Lett. 71 1526
|
[2] |
Kosek J and Marek M 1995 Phys. Rev. Lett. 74 2134
|
[3] |
Hwang S C and Timothy H H 1996 Phys. Rev. E 54 3009
|
[4] |
Brazhnik P K and Tyson J J 1996 Phys. Rev. E 54 1958
|
[5] |
Pechenik L and Levine H 1998 Phys. Rev. E 58 2910
|
[6] |
Sainhas J and Dil\~{ao R 1998 Phys. Rev. Lett. 80 5216
|
[7] |
Rabinovitch A, Gutman M and Aviram I 2003 Phys. Rev. E 67 036212
|
[8] |
Remhof A, Wijngaarden R J and Griessen R 2003 Phys. Rev. Lett. 90 145502
|
[9] |
Gutman M, Aviram I and Rabinovitch A 2004 Phys. Rev. E 69 016211
|
[10] |
Skaar J 2006 Phys. Rev. E 73 026605
|
[11] |
Zhang R, Yang L, Zhabotinsky A M and Epstein I R 2007 Phys. Rev. E 76 016201
|
[12] |
Aranson I S and Kramer L 2002 Rev. Mod. Phys. 74 99
|
[13] |
Hu Y H, Fu X Q, Wen S C, Su W H and Fan D Y 2006 Chin. Phys. 15 2970
|
[14] |
Lv Y P, Gu G F, Lu H C, Dai Y and Fang G N 2009 Acta Phys. Sin. 58 2996 (in Chinese)
|
[15] |
Xiao J H, Hu G and Hu B B 2004 Chin. Phys. Lett. 21 1224
|
[16] |
Wang X, Tian X, Wang H L, Ouyang Q and Li H 2004 Chin. Phys. Lett. 21 2365
|
[17] |
Shao X, Ren Y and Ouyang Q 2006 Chin. Phys. 15 0513
|
[18] |
Tang Z H, Yan J R and Liu L H 2006 Chin. Phys. 15 2638
|
[19] |
Shao X, Wu Y B, Zhang J Z, Wang H L and Ouyang Q 2008 Phys. Rev. Lett. 100 198304
|
[20] |
Lv Y P, Gu G F, Lu H C, Dai Y and Tang G N 2009 Acta Phys. Sin. 58 7573 (in Chinese)
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