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Using the coupled nonlinear Schrödinger (CNLS) equation containing the Raman gain, the Duffing equation with Raman gain is derived, which is represented by the Stokes parameters, and then the elliptic integrals are used to compute the analytical solutions. This article focuses on the analysis of the Raman gain influence on the evolution of the polarization state when the optical waves are propagating in a low-birefringence fiber. Results show that the transmission cycle of the polarization evolution state can be changed due to Raman gain, if the input power and motion constants have a certain relationship.
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Keywords:
- Raman gain /
- low-birefringence /
- Stokes parameters /
- state of polarization
[1] Yan F P, Li Y F, Wang L 2008 Acta Phys. Sin. 57 5735 (in Chinese) [延凤平, 李一凡, 王琳 2008 物理学报 57 5735]
[2] Qin Z Y, Cheng Z G, Zhang Z P 2007 Acta Opt. Sin. 27 659 (in Chinese) [覃兆宇, 程兆谷, 张志平 2007 光学学报 27 659]
[3] Fu S N, Wu C Q, Liu H T 2003 Chi. Phys. 12 1423
[4] Li S, Ma H Q, Wu L A 2013 Acta Phys. Sin. 62 084214 (in Chinese) [李申, 马海强, 吴令安 2013 物理学报 62 084214]
[5] Zuo L, Yang A Y, Zhou D W, Sun Y N 2012 Acta Phys. Sin. 61 054211 (in Chinese) [左林, 杨爱英, 周大伟, 孙雨南 2012 物理学报 61 054211]
[6] Qin J X, Xi X L, Zhang X G, Tian F 2011 Chin. Phys. B 20 114201
[7] Wang X Y, Jia W G, Yin J Q 2011 Acta Opt. Sin. 31 06060011 (in Chinese) [王旭颖, 贾维国, 尹建全 2011 光学学报 31 06060011]
[8] Daino B, Gregori G, Wabnitz S 1985 J.Appl. Phys. 58 4512
[9] Han F, Jia W G, Chai H Y 2013 Acta Opt. Sin. 33 07290021 (in Chinese) [韩风, 贾维国, 柴宏宇 2013 光学学报 33 07290021]
[10] Trillo S, Wabnitz S 1992 J. Opt. Soc. Am. B 9 1061
[11] Chai H Y, Jia W G, Han F 2013 Acta Opt. Sin. 33 12190011 (in Chinese) [柴宏宇, 贾维国, 韩凤 2013 光学学报 33 12190011]
[12] Akhmediev N, Soto-Crespo J M 1994 Phy. Rev. E 49 5742
[13] Daino B, Gregori G, Wabnitz S 1985 J. Appl. Phys. 58 4512
[14] Liu S S, Liu S K 2012 Nonlinear Equations in Physics (2nd Ed.) (Beijing: Peking University Press) p58 (in Chinese) [刘式适, 刘式达 2012 物理学中的非线性方程 (第二版) (北京:北京大学出版社) 第58页]
[15] Gregoi G, Wabnitz S 1986 Phys. Rev. Lett. 56 600
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[1] Yan F P, Li Y F, Wang L 2008 Acta Phys. Sin. 57 5735 (in Chinese) [延凤平, 李一凡, 王琳 2008 物理学报 57 5735]
[2] Qin Z Y, Cheng Z G, Zhang Z P 2007 Acta Opt. Sin. 27 659 (in Chinese) [覃兆宇, 程兆谷, 张志平 2007 光学学报 27 659]
[3] Fu S N, Wu C Q, Liu H T 2003 Chi. Phys. 12 1423
[4] Li S, Ma H Q, Wu L A 2013 Acta Phys. Sin. 62 084214 (in Chinese) [李申, 马海强, 吴令安 2013 物理学报 62 084214]
[5] Zuo L, Yang A Y, Zhou D W, Sun Y N 2012 Acta Phys. Sin. 61 054211 (in Chinese) [左林, 杨爱英, 周大伟, 孙雨南 2012 物理学报 61 054211]
[6] Qin J X, Xi X L, Zhang X G, Tian F 2011 Chin. Phys. B 20 114201
[7] Wang X Y, Jia W G, Yin J Q 2011 Acta Opt. Sin. 31 06060011 (in Chinese) [王旭颖, 贾维国, 尹建全 2011 光学学报 31 06060011]
[8] Daino B, Gregori G, Wabnitz S 1985 J.Appl. Phys. 58 4512
[9] Han F, Jia W G, Chai H Y 2013 Acta Opt. Sin. 33 07290021 (in Chinese) [韩风, 贾维国, 柴宏宇 2013 光学学报 33 07290021]
[10] Trillo S, Wabnitz S 1992 J. Opt. Soc. Am. B 9 1061
[11] Chai H Y, Jia W G, Han F 2013 Acta Opt. Sin. 33 12190011 (in Chinese) [柴宏宇, 贾维国, 韩凤 2013 光学学报 33 12190011]
[12] Akhmediev N, Soto-Crespo J M 1994 Phy. Rev. E 49 5742
[13] Daino B, Gregori G, Wabnitz S 1985 J. Appl. Phys. 58 4512
[14] Liu S S, Liu S K 2012 Nonlinear Equations in Physics (2nd Ed.) (Beijing: Peking University Press) p58 (in Chinese) [刘式适, 刘式达 2012 物理学中的非线性方程 (第二版) (北京:北京大学出版社) 第58页]
[15] Gregoi G, Wabnitz S 1986 Phys. Rev. Lett. 56 600
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