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Using the nonlinear Schrödinger equation (NLSE) including Raman gain effect but ignoring fiber loss situation, the linear operator and nonlinear operator specific expression are obtained based on MATLAB fractional Fourier numerical algorithm. They are applied to the NLSE including Raman gain, and the evolutions of soliton pulse are simulated in optical fiber through changing parameters. The result shows that soliton propagation stability is destroyed compared with the case considering no Raman gain, leading to the rapid attenuation of optical soliton. The influence degree depends on input soliton pulse peak power. The effects of Raman gain on ground state soliton and high order soliton are not the same.
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Keywords:
- Raman gain /
- soliton /
- symmetry fractional fast Fourier transform method /
- nonlinear Schrö
[1] Agrawal G P 2008 Nonlinear Fiber Optics (2nd Ed.) (Boston: Academic Press) pp136-190
[2] Diaz-Otero F J, Chamorro-Posada P 2012 Math. Comput. Simulat. 82 1093
[3] Ganapathy R 2012 Commun. Nonlinear Sci. 17 4544
[4] Louangvilay X, Mitatha S, Yoshida M, Komine N, Yupapin P P 2012 Opt. Eng. 51 5010
[5] Huang K, Han R Q 2010 Solid-State Physics (1st Ed.) (Beijing: Higher Education Press) p513 (in Chinese) [黄昆, 韩汝琦 2010 固体物理学 (北京: 高等教育出版社) 第513页]
[6] 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]
[7] Wang X Y, Jia W G, Yin J Q 2011 Acta Opt. Sin. 31 0606001 (in Chinese) [王旭颖, 贾维国, 尹建全 2011 光学学报 31 606001]
[8] 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]
[9] Lin Q, Agrawal G P 2006 Opt. Lett. 31 3086
[10] Bale B G, Boscolo S 2010 J. Opt. 84 015202
[11] Lin Q, Painter O J, Agrawal G P 2007 Opt. Express 15 16604
[12] Li L, Yin A 2011 Optik 122 1195
[13] Agrawal G P 2008 Nonlinear Fiber Optics (2nd Ed.) (Boston: Academic Press) pp101-102
[14] Agrawal G P 2008 Nonlinear Fiber Optics (2nd Ed.) (Boston: Academic Press) pp227-232
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[1] Agrawal G P 2008 Nonlinear Fiber Optics (2nd Ed.) (Boston: Academic Press) pp136-190
[2] Diaz-Otero F J, Chamorro-Posada P 2012 Math. Comput. Simulat. 82 1093
[3] Ganapathy R 2012 Commun. Nonlinear Sci. 17 4544
[4] Louangvilay X, Mitatha S, Yoshida M, Komine N, Yupapin P P 2012 Opt. Eng. 51 5010
[5] Huang K, Han R Q 2010 Solid-State Physics (1st Ed.) (Beijing: Higher Education Press) p513 (in Chinese) [黄昆, 韩汝琦 2010 固体物理学 (北京: 高等教育出版社) 第513页]
[6] 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]
[7] Wang X Y, Jia W G, Yin J Q 2011 Acta Opt. Sin. 31 0606001 (in Chinese) [王旭颖, 贾维国, 尹建全 2011 光学学报 31 606001]
[8] 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]
[9] Lin Q, Agrawal G P 2006 Opt. Lett. 31 3086
[10] Bale B G, Boscolo S 2010 J. Opt. 84 015202
[11] Lin Q, Painter O J, Agrawal G P 2007 Opt. Express 15 16604
[12] Li L, Yin A 2011 Optik 122 1195
[13] Agrawal G P 2008 Nonlinear Fiber Optics (2nd Ed.) (Boston: Academic Press) pp101-102
[14] Agrawal G P 2008 Nonlinear Fiber Optics (2nd Ed.) (Boston: Academic Press) pp227-232
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