| CLASSICAL AREAS OF PHENOMENOLOGY |
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Cross-phase modulation instability in optical fibres with exponential saturable nonlinearity and high-order dispersion |
| Zhong Xian-Qiong, Xiang An-Ping |
| 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
Published: 15 June 2010
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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, Xiang An-Ping 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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