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本文采用考虑拉曼增益的耦合非线性薛定谔方程，利用分步傅里叶方法求解并仿真模拟了光孤子脉冲在不同性质的双折射光纤中传输时的演化过程. 结果表明，拉曼增益可以有效抑制非线性耦合导致的孤子漂移，同时会导致光孤子脉冲峰值在传输时不断增大，产生拉曼放大效应. 拉曼增益也可以有效抑制双折射光纤中传输的相邻光孤子之间的相互作用.
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关键词:
- 拉曼增益 /
- 孤子 /
- 孤子相互作用 /
- 耦合非线性薛定谔方程
The coupled nonlinear Schrödinger (CNLS) equation including Raman gain has been utilized for birefringence fiber. Evolution process of the optical soliton pulse has been simulated by the fractional Fourier method when the optical soliton pulse transmission in a birefringence fiber has a different nature. Results show that the drift of soliton caused by nonlinear coupling effect can be suppressed by Raman gain, at the same time, the soliton pulse peak in the transmission is enhanced. The interaction between optical solitons can be effectively restrained by Raman gain in the birefringence fiber.-
Keywords:
- Raman gain /
- soliton /
- soliton interaction /
- CNLS
[1] Agrawal G P 2010 Nonlinear Fiber Optics (2nd Ed.) (Boston: Academic Press) (in Chinese)
[2] Sharping J E, Okawachi Y,, Gaeta A L 2005 Opt. Express 13 6092
[3] Jia W G, Qiao L R, Wang X Y 2012 Acta Phys. Sin. 61 094215 (in Chinese) [贾维国, 乔丽荣, 王旭颖 2012 61 094215]
[4] Jia W G, Qiao L R, Wang X Y 2012 Acta Phys. Sin. 61 194209 (in Chinese) [贾维国, 乔丽荣, 王旭颖 2012 61 194209]
[5] Chai H Y, Jia W G, Han F 2013 Acta Phys. Sin. 62 044215 (in Chinese) [柴宏宇, 贾维国, 韩凤 2013 62 044215]
[6] Gordon J P, Kogelnik H 2000 Pnas 97 4541
[7] Rashleigh S C, Ulrich R 1978 Opt. Lett. 3 60
[8] Noda J, Okamoto K, Sasaki Y 1986 J. Lightwave Technol. 4 1071
[9] Katsuaki I, Kuniharu H, Yukihiro S, Tatsuya I 2007 US Patent 7289687
[10] Mitra P P, Stark J B 2001 Nature 411 1027
[11] Qin M Z, Wang Y S 2011 Structure-preserving algorithm for partial differential equation (Hangzhou: Zhejiang Science and Technology Publishing House) p387-410 (in Chinese) [秦孟兆, 王雨顺 2011 偏微分方程中的保结构算法(杭州: 浙江科学技术出版社) 第387–410页]
[12] Qiao H L, Jia W G, Liu B L 2013 Acta Phys. Sin. 62 104212 (in Chinese) [乔海龙, 贾维国, 刘宝林 2013 62 104212]
[13] Smith R G 1972 Appl. Opt. 11 2489
[14] Stolen R H 1979 IEEE J. Quantum Electron 15 1157
[15] Chen Z G, Segev M, Christodoulides D N 2012 Rep. Prog. Phys. 75 086401
[16] Liu W J, Tian B, Lei M 2013 Laser Phys. 23 095401
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[1] Agrawal G P 2010 Nonlinear Fiber Optics (2nd Ed.) (Boston: Academic Press) (in Chinese)
[2] Sharping J E, Okawachi Y,, Gaeta A L 2005 Opt. Express 13 6092
[3] Jia W G, Qiao L R, Wang X Y 2012 Acta Phys. Sin. 61 094215 (in Chinese) [贾维国, 乔丽荣, 王旭颖 2012 61 094215]
[4] Jia W G, Qiao L R, Wang X Y 2012 Acta Phys. Sin. 61 194209 (in Chinese) [贾维国, 乔丽荣, 王旭颖 2012 61 194209]
[5] Chai H Y, Jia W G, Han F 2013 Acta Phys. Sin. 62 044215 (in Chinese) [柴宏宇, 贾维国, 韩凤 2013 62 044215]
[6] Gordon J P, Kogelnik H 2000 Pnas 97 4541
[7] Rashleigh S C, Ulrich R 1978 Opt. Lett. 3 60
[8] Noda J, Okamoto K, Sasaki Y 1986 J. Lightwave Technol. 4 1071
[9] Katsuaki I, Kuniharu H, Yukihiro S, Tatsuya I 2007 US Patent 7289687
[10] Mitra P P, Stark J B 2001 Nature 411 1027
[11] Qin M Z, Wang Y S 2011 Structure-preserving algorithm for partial differential equation (Hangzhou: Zhejiang Science and Technology Publishing House) p387-410 (in Chinese) [秦孟兆, 王雨顺 2011 偏微分方程中的保结构算法(杭州: 浙江科学技术出版社) 第387–410页]
[12] Qiao H L, Jia W G, Liu B L 2013 Acta Phys. Sin. 62 104212 (in Chinese) [乔海龙, 贾维国, 刘宝林 2013 62 104212]
[13] Smith R G 1972 Appl. Opt. 11 2489
[14] Stolen R H 1979 IEEE J. Quantum Electron 15 1157
[15] Chen Z G, Segev M, Christodoulides D N 2012 Rep. Prog. Phys. 75 086401
[16] Liu W J, Tian B, Lei M 2013 Laser Phys. 23 095401
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