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Chin. Phys. B, 2012, Vol. 21(9): 094215    DOI: 10.1088/1674-1056/21/9/094215
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

Phase-matching analysis of four-wave mixing induced by modulation instability in a single-mode fiber

Chen Wei (陈伟), Meng Zhou (孟洲), Zhou Hui-Juan (周会娟)
Department of Optic Information Science and Technology, College of Optoelectronic Science and Engineering, National University of Defense Technology, Changsha 410073, China
Abstract  Four-wave mixing induced by modulation instability in a single-mode fiber is analyzed from the phase-matching point of view. For the two-channel transmission, a method is proposed to select the four-wave-mixing-induced sidebands, which is based on the proper use of a continuous-wave and a pulse as light sources. We find that a mass of sidebands are generated in the modulation instability resonance region, and the power of the sideband increases with not only the peak power of the pump pulse but also the continuous-wave power which acts as a seed. The research will be guidable for the fiber communication and sensing systems using the wavelength division multiplexing technology.
Keywords:  four-wave mixing      modulation instability      phase matching  
Received:  08 March 2012      Revised:  01 April 2012      Accepted manuscript online: 
PACS:  42.65.-k (Nonlinear optics)  
  42.65.Sf (Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics)  
  42.81.-i (Fiber optics)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61177073), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20104307110020), the Fund of Innovation of Graduate School of National University of Defense Technology, China (Grant No. B110703), and the Hunan Provincial Innovation Foundation for Postgraduate, China (Grant No. CX2011B033).
Corresponding Authors:  Meng Zhou     E-mail:  zhoumeng6806@163.com

Cite this article: 

Chen Wei (陈伟), Meng Zhou (孟洲), Zhou Hui-Juan (周会娟) Phase-matching analysis of four-wave mixing induced by modulation instability in a single-mode fiber 2012 Chin. Phys. B 21 094215

[1] Agrawal G P 2001 Nonlinear Fiber Optics (New York: Academic Press)
[2] Inoue K, Nakanishi K, Oda K and Toba H 1994 IEEE J. Lightwave Technol. 12 1423
[3] Ito Y, Onishi J, Kojima S and Numai T 2008 Opt. Commun. 281 4515
[4] Forghieri F, Tkach R W and Chraplyvy A R 1995 IEEE J. Lightwave Technol. 13 889
[5] Chang K D, Yang G C and Kwong W C 2000 IEEE J. Lightwave Technol. 18 2113
[6] Yuan J H, Sang X Z, Yu C X, Xin X J, Li S G, Zhou G Y and Hou L T 2010 Chin. Phys. B 19 074218
[7] Xin X J, Ma J X, Zhang Q, Deng C G, Wang K R, Yu C X and Liu B 2009 Chin. Phys. B 18 3449
[8] Wang Y B, Xiong C L, Hou J, Lu Q S, Peng Y and Chen Z L 2011 Acta Phys. Sin. 60 014201 (in Chinese)
[9] Yin J C, Xiao X S and Yang C X 2010 Acta Phys. Sin. 59 3986 (in Chinese)
[10] Shibata N, Braun R P and Waarts R G 1987 IEEE J. Quantum Electron. QE-23 1205
[11] Grosz D F, Chavez Boggio J M and Fragnito H L 1999 Opt. Commun. 171 53
[12] Grosz D F and Fragnito H L 1998 Microwave Opt. Technol. Lett. 19 149
[13] Foaleng S M and Thévenaz L 2011 Proc. SPIE 7753 77539V
[14] Grosz D F and Fragnito H L 1998 Microwave Opt. Technol. Lett. 18 275
[15] Grosz D F, Mazzali C, Celaschi S, Paradisi A and Fragnito H L 1999 IEEE Photon. Technol. Lett. 11 379
[16] Liu X M 2011 J. Lightwave Technol. 29 179
[17] Liu X M 2010 Laser Phys. 20 842
[18] Yamamoto T and Nakazawa M 1997 IEEE Photon. Technol. Lett. 9 327
[19] Yamamoto T and Nakazawa M 1999 Electronics and Communications in Japan (Part 2) 82 148
[20] Zhu Y, Cabrera-Granado E, Calderon O G, Melle S, Okawachi Y, Gaeta A L and Gauthier D J 2010 J. Opt. 12 104019
[21] Liu X M, Yang X F, Lu F Y, Ng J H, Zhou X Q and Lu C 2005 Opt. Express 13 142
[22] Liu X M 2008 Phys. Rev. A 77 043818
[23] Alasia D, González Herráezb M, Abrardia L, Lópezb S M and Thévenaza L 2005 Proc. SPIE 5855 587
[24] Alahbabi M N, Cho Y T, Newson T P, Wait P C and Hartog A H 2004 J. Opt. Soc. Am. B 21 1156
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