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Interface-selected waves and their influence on wave competition
Interface-selected waves and their influence on wave competition
Xiaohua Cui,1 Xiaoqing Huang,1 Zhoujian Cao,2 Hong Zhang,3 and Gang Hu1,*
1Department of Physics, Beijing Normal University, Beijing 100875, China
2Institute of Applied Mathematics, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100080, China
3Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027, China
Received 22 August 2007; revised manuscript received 19 June 2008; published 4 August 2008
In this paper we study nonlinear oscillatory systems consisting of two media, one supporting forward
propagating waves and the other inwardly propagating waves, separated by an interface. We find that the
interface can select the type of wave. Under certain well-defined parameter condition, these waves propagate
in two different media with the same frequency and same wave number; the interface of the two media is
transparent to these waves. The frequency and wave number of these interface-selected waves ISWs are
predicted explicitly. When parameters are varied from this parameter set, the wave numbers of the two domains
become different, and the difference increases from zero continuously as the distance between the given
parameters and this parameter set increases from zero. It is found that ISWs can play crucial roles in practical
problems of wave competition, e.g., ISWs can suppress spirals and antispirals.
DOI: 10.1103/PhysRevE.78.026202 PACS numbers: 05.45.a, 47.54.r, 04.30.Nk
The behavior of waves around interfaces between two
media have attracted continual and great interest 1–7. In
linear optics we are familiar with the problems of wave re-
flection and refraction, which are predicted analytically.
However, for nonlinear systems the interface-related behav-
iors become much more complex and diverse, and much less
known.
The problems of wave propagation in linear and nonlinear
media have also attracted considerable att
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