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Under the condition that the light pulses meet the slowly varying function pulses, the higher-order nonlinear Schrödinger equation has been deduced by taking into consideration the Raman gain. The linear operator and nonlinear operator specific expressions are obtained using split-step Fourier numerical method. The Raman gain on the self-steepening of the Gaussian pulse has been simulated and then the result is compared with the self-steepening effect without taking into consideration the Raman gain when the pulse propagate in the isotropic optical fiber. Raman gain specific impact on the self-steepening of the Gaussian pulse has been obtained under different conditions. Results show that the Raman gain may affect the Gaussian pulse broadening, pulse peak attenuation as well as the oscillation of the edge. These influences depend on the parameters of self-steepening, input power, and dispersion coefficient.
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Keywords:
- Raman gain /
- self-steepening effect /
- Gaussian pulse /
- higher-order dispersion
[1] Agrawal G P 2002 Nonlinear Fiber Optics Fourth Edition 2nd ed. (Boston:Academic Press) p483
[2] 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]
[3] Wen S C, Xiang Y J, Su W H 2006 Proceedings of High-Power Lasers and Applications 1568
[4] Ostrovskii L A 1967 Sov. Phys. JETP 24 797
[5] Zhong X Q, Tang T T, Xiang A P, Cheng K 2011 Optics Communications 284 4727
[6] Mishra M, Konar S 2008 Progress In Electromagnetics Research 78 301
[7] Ramprasad A V, Meenakshi M 2006 IEEE 10(5) 26
[8] Kibler B, Dudley J M, Coen S 2005 Appl. Phys. B 81 337
[9] Wang X Y, Jia W G, Yin J Q 2011 Acta Photonica Sinica 06(3) 06001 (in Chinese) [王旭颖, 贾维国, 尹建全2011 光学学报06(3) 06001]
[10] Song X Y, Wen S C, Dai X Y 2008 Acta Photonice. Sinice 07(4) 1314 (in Chinese) [宋小燕, 文双春, 戴小玉2008光子学报07(4) 1314]
[11] Jia W G, Yang X Y 2005 Acta Phys. Sin. 54 1053 (in Chinese) [贾维国, 杨性愉 2005 54 1053]
[12] Zhang Y D, Fan B H, Yuan P 2004 Chin. Phys. Lett. 21 87
[13] Moll K D, Gaeta A L 2003 Physical Review Letters 2 9902
[14] Anderson D, Lisak M 1983 Phys. Rev. A 27 1393
[15] Jeffrey Moses, Wise F W 2006 Phys. Rev. Lett. 07(5) 3903
[16] Jia W G, Zhou Y Y, Han Y M 2009 Acta Phys. Sin. 58 6323 (in Chinese) [贾维国, 周彦勇, 韩永明 2009 58 6323]
[17] Benoit Barviau, Bertrand Kibler, Antonio Picozzi 2009 Phys. Rev. Lett. 06 3840
[18] 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]
[19] Zhong X Q, Cheng K, Xiang A P 2013 Chin. Phys. B 22 034205
[20] Yu X D, Meng Z M, Zhang J 2013 Chin. Phys. B 22 094204
[21] Wang F, Jiang H B, Gong Q H 2014 Chin. Phys. B 23 014201
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[1] Agrawal G P 2002 Nonlinear Fiber Optics Fourth Edition 2nd ed. (Boston:Academic Press) p483
[2] 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]
[3] Wen S C, Xiang Y J, Su W H 2006 Proceedings of High-Power Lasers and Applications 1568
[4] Ostrovskii L A 1967 Sov. Phys. JETP 24 797
[5] Zhong X Q, Tang T T, Xiang A P, Cheng K 2011 Optics Communications 284 4727
[6] Mishra M, Konar S 2008 Progress In Electromagnetics Research 78 301
[7] Ramprasad A V, Meenakshi M 2006 IEEE 10(5) 26
[8] Kibler B, Dudley J M, Coen S 2005 Appl. Phys. B 81 337
[9] Wang X Y, Jia W G, Yin J Q 2011 Acta Photonica Sinica 06(3) 06001 (in Chinese) [王旭颖, 贾维国, 尹建全2011 光学学报06(3) 06001]
[10] Song X Y, Wen S C, Dai X Y 2008 Acta Photonice. Sinice 07(4) 1314 (in Chinese) [宋小燕, 文双春, 戴小玉2008光子学报07(4) 1314]
[11] Jia W G, Yang X Y 2005 Acta Phys. Sin. 54 1053 (in Chinese) [贾维国, 杨性愉 2005 54 1053]
[12] Zhang Y D, Fan B H, Yuan P 2004 Chin. Phys. Lett. 21 87
[13] Moll K D, Gaeta A L 2003 Physical Review Letters 2 9902
[14] Anderson D, Lisak M 1983 Phys. Rev. A 27 1393
[15] Jeffrey Moses, Wise F W 2006 Phys. Rev. Lett. 07(5) 3903
[16] Jia W G, Zhou Y Y, Han Y M 2009 Acta Phys. Sin. 58 6323 (in Chinese) [贾维国, 周彦勇, 韩永明 2009 58 6323]
[17] Benoit Barviau, Bertrand Kibler, Antonio Picozzi 2009 Phys. Rev. Lett. 06 3840
[18] 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]
[19] Zhong X Q, Cheng K, Xiang A P 2013 Chin. Phys. B 22 034205
[20] Yu X D, Meng Z M, Zhang J 2013 Chin. Phys. B 22 094204
[21] Wang F, Jiang H B, Gong Q H 2014 Chin. Phys. B 23 014201
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