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Cross-phase modulation instability in optical fibres with exponential saturable nonlinearity and high-order dispersion |
| Zhong Xian-Qiong(钟先琼)† and Xiang An-Ping(向安平) |
| College of Optoelectronic Technology, Chengdu University of Information Technology, Chengdu 610225, China |
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Abstract Utilizing the linear-stability analysis, this paper analytically investigates and calculates the condition and gain spectra of cross-phase modulation instability in optical fibres in the case of exponential saturable nonlinearity and high-order dispersion. The results show that, the modulation instability characteristics here are similar to those of conventional saturable nonlinearity and Kerr nonlinearity. That is to say, when the fourth-order dispersion has the same sign as that of the second-order one, a new gain spectral region called the second one which is far away from the zero point may appear. The existence of the exponential saturable nonlinearity will make the spectral width as well as the peak gain of every spectral region increase with the input powers before decrease. Namely, for every spectral regime, this may lead to a unique value of peak gain and spectral width for two different input powers. In comparison with the case of conventional saturable nonlinearity, however, when the other parameters are the same, the variations of the spectral width and the peak gain with the input powers will be faster in case of exponential saturable nonlinearity.
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Received: 16 July 2009
Accepted manuscript online:
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PACS:
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42.81.Dp
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(Propagation, scattering, and losses; solitons)
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42.50.Gy
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(Effects of atomic coherence on propagation, absorption, and Amplification of light; electromagnetically induced transparency and Absorption)
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42.65.Hw
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(Phase conjugation; photorefractive and Kerr effects)
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| Fund: Project supported by the Key
Program of the Natural Science Foundation of Sichuan Provincial
Education Department (Grant No.~2006A124) and the Fundamental
Application Research Project of the Department of Science \&
Technology of Sichuan Province (Grant N |
Cite this article:
Zhong Xian-Qiong(钟先琼) and Xiang An-Ping(向安平) Cross-phase modulation instability in optical fibres with exponential saturable nonlinearity and high-order dispersion 2010 Chin. Phys. B 19 064212
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