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使用复互相干度的定义对超连续谱的相干性进行了数值计算,得到了不同功率抽运情况下的脉冲谱展宽以及超连续谱相干性的变化.结果表明孤子自频移以及色散波辐射是抽运波长位于光纤反常色散区情况下超连续谱展宽的主要物理机理,而超连续谱的相干性则主要受到调制不稳定性的影响.调制不稳定性放大抽运脉冲自身携带的随机噪声,使得非线性效应产生的光谱成分具有随机的相位与幅度,引起超连续谱相干性的下降. 抽运功率越高, 调制不稳定性增益越高,噪声对超连续谱产生的作用越强, 超连续谱的相干性越差.要获得高相干的超连续谱, 需采用峰值功率较小的脉冲进行抽运.要获得大谱宽高相干的超连续谱, 则需要合理选择抽运脉冲功率.We numerically calculated the coherence properties of the supercontinuum based on the definition of complex degree of mutual coherence, and obtained the spectral broadening of the pump pulse and the coherence properties of the generated supercontinuum under different pump powers. The results showed that the dominant underlying mechanisms of the spectral broadening are soliton self-frequency shift and dispersive wave generation when the pump wavelength located in the anomalous dispersion region of photonic crystal fiber. While the coherence properties are affected by the modulation instability which amplifies the stochastic noise of the pump pulse, thus the generated frequency components have stochastic phases and amplitudes, which induces the degradation of the coherence of the supercontinuum. The gain of modulation instability increases with the increasing of the pump power, and the effect of the noise on the supercontinuum will become greater which degrades the coherence properties. Low pump power is required to obtain high coherent supercontinuum, and suitable pump power should be adjusted to get wide bandwidth and high coherent supercontinuum.
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Keywords:
- supercontinuum /
- coherence properties /
- pump power /
- photonic crystal fibers
[1] Ranka J K, Windeler R S, Stentz A J 2000 Opt. Lett. 25 25
[2] Birks T A, Wadsworth W J, Russell P S J 2000 Opt. Lett. 25 1415
[3] Dudley J M, Genty G, Coen S 2006 Reviews of Modern Physics 78 1135
[4] Liu W H, Song X Z, Wang Y S, Liu H J, Zhao W, Liu X M, Peng Q J, Xu Z Y 2008 Acta Phys. Sin. 57 917 (in Chinese)[刘卫华, 宋啸中, 王屹山, 刘红军, 赵卫, 刘雪明, 彭钦军, 许祖彦 2008 物理学报 57 917]
[5] Li L L, Feng G Y, Yang H, Zhou G R, Zhou H, Zhu Q H, Wang J J, Zhou S H 2009 Acta Phys. Sin. 58 7005 (in Chinese)[李林栗, 冯国英, 杨浩, 周国瑞, 周昊, 朱启华, 王建军, 周寿桓 2009 物理学报 58 7005]
[6] Wang Y B, Xiong C L, Hou J, Lu Q S, Peng Y, Chen Z L 2011 Acta Phys. Sin. 60 014201 (in Chinese)[王彦斌, 熊春乐, 侯静, 陆启生, 彭杨, 陈子伦 2011 物理学报 60 014201]
[7] Hao Z J, lei D J, Zhao C J, Xie D,Wen S C, Fan D Y 2011 Chinese J. Lasers 38 156 (in Chinese)[郝志坚, 雷大军, 赵楚军, 谢栋, 文双春, 范滇元 2011 中国激光 38 156]
[8] Hartl I, Li X D, Chudoba C, Ghanta R K, Ko T H, Fujimoto J G, Ranka J K, Windeler R S 2001 Opt. Lett. 26 608
[9] Diddams S A, Jones D J, Ye J, Cundiff S T, Hall J L, Ranka J K, Windeler R S, Holzwarth R, Udem T, Auml, Nsch T W 2000 Physical Review Letters 84 5102
[10] Takara H, Ohara T, Mori K, Sato K, Yamada E, Inoue Y, Shibata T, Abe M, Morioka T, Sato K I 2000 Electronics Letters 36 2089
[11] Nisoli M, De Silvestri S, Svelto O 1996 Applied Physics Letters 68 2793
[12] Dudley J M, Coen S 2002 Opt. Lett. 27 1180
[13] Gu X, Kimmel M, Shreenath A, Trebino R, Dudley J, Coen S, Windeler R 2003 Opt. Express 11 2697
[14] Lu F, Knox W 2004 Opt. Express 12 347
[15] Guo Y, Ruan S C, Yu Y Q, Wang Y C 2007 Journal of Shenzhen University Science and Engineering 24 149
[16] Türke D, Pricking S, Husakou A, Teipel J, Herrmann J, Giessen H 2007 Opt. Express 15 2732
[17] Nicholson JW, Yablon A D, Yan M F,Wisk P, Bise R, Trevor D J, Alonzo J, Stockert T, Fleming J, Monberg E, Dimarcello F, Fini J 2008 Opt. Lett. 33 2038
[18] Agrawal G P 2007 Nonliner Fiber Optics (4th ed) (San Siego: Academic Press)
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[1] Ranka J K, Windeler R S, Stentz A J 2000 Opt. Lett. 25 25
[2] Birks T A, Wadsworth W J, Russell P S J 2000 Opt. Lett. 25 1415
[3] Dudley J M, Genty G, Coen S 2006 Reviews of Modern Physics 78 1135
[4] Liu W H, Song X Z, Wang Y S, Liu H J, Zhao W, Liu X M, Peng Q J, Xu Z Y 2008 Acta Phys. Sin. 57 917 (in Chinese)[刘卫华, 宋啸中, 王屹山, 刘红军, 赵卫, 刘雪明, 彭钦军, 许祖彦 2008 物理学报 57 917]
[5] Li L L, Feng G Y, Yang H, Zhou G R, Zhou H, Zhu Q H, Wang J J, Zhou S H 2009 Acta Phys. Sin. 58 7005 (in Chinese)[李林栗, 冯国英, 杨浩, 周国瑞, 周昊, 朱启华, 王建军, 周寿桓 2009 物理学报 58 7005]
[6] Wang Y B, Xiong C L, Hou J, Lu Q S, Peng Y, Chen Z L 2011 Acta Phys. Sin. 60 014201 (in Chinese)[王彦斌, 熊春乐, 侯静, 陆启生, 彭杨, 陈子伦 2011 物理学报 60 014201]
[7] Hao Z J, lei D J, Zhao C J, Xie D,Wen S C, Fan D Y 2011 Chinese J. Lasers 38 156 (in Chinese)[郝志坚, 雷大军, 赵楚军, 谢栋, 文双春, 范滇元 2011 中国激光 38 156]
[8] Hartl I, Li X D, Chudoba C, Ghanta R K, Ko T H, Fujimoto J G, Ranka J K, Windeler R S 2001 Opt. Lett. 26 608
[9] Diddams S A, Jones D J, Ye J, Cundiff S T, Hall J L, Ranka J K, Windeler R S, Holzwarth R, Udem T, Auml, Nsch T W 2000 Physical Review Letters 84 5102
[10] Takara H, Ohara T, Mori K, Sato K, Yamada E, Inoue Y, Shibata T, Abe M, Morioka T, Sato K I 2000 Electronics Letters 36 2089
[11] Nisoli M, De Silvestri S, Svelto O 1996 Applied Physics Letters 68 2793
[12] Dudley J M, Coen S 2002 Opt. Lett. 27 1180
[13] Gu X, Kimmel M, Shreenath A, Trebino R, Dudley J, Coen S, Windeler R 2003 Opt. Express 11 2697
[14] Lu F, Knox W 2004 Opt. Express 12 347
[15] Guo Y, Ruan S C, Yu Y Q, Wang Y C 2007 Journal of Shenzhen University Science and Engineering 24 149
[16] Türke D, Pricking S, Husakou A, Teipel J, Herrmann J, Giessen H 2007 Opt. Express 15 2732
[17] Nicholson JW, Yablon A D, Yan M F,Wisk P, Bise R, Trevor D J, Alonzo J, Stockert T, Fleming J, Monberg E, Dimarcello F, Fini J 2008 Opt. Lett. 33 2038
[18] Agrawal G P 2007 Nonliner Fiber Optics (4th ed) (San Siego: Academic Press)
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