Analysis of pulse distortion in Brillouin slow light using broadband pump with rectangular spectrum

Zhang Zhi-Yao; Zhou Xiao-Jun; Shi Sheng-Hui; Liang Rui

doi:10.7498/aps.59.4694

Abstract

Assuming a Gaussian-shaped input signal pulse, we deduced the analytical expression of the output-pulse amplitude envelope in the Brillouin slow light system utilizing broadband pump with a rectangular spectrum under small-signal gain approximation. The expression is applicable in case that the pump spectrum has a sharp rising or trailing edge and a flat top. The influence of the fiber dispersion, the stimulated Brilouin scattering (SBS) gain non-uniformity and the SBS-gain-induced dispersion on the pulse distortion has also been quantitatively analyzed. The calculated results show that the analytical solution agrees well with the numerical one if the spectrum of the signal pulse lies in the pump spectrum. SBS-gain-induced third-order dispersion is the main physical factor responsible for the pulse distortion, which also limits the retardation increase of the short pulse in the cascaded Brillouin slow light system.

Keywords:

Authors and contacts

(1)School of Opto-electronic Information, University of Electronic Science and Technology of China, Chengdu 610054, China; (2)School of Opto-electronic Information, University of Electronic Science and Technology of China, Chengdu 610054, China; Key Laboratory of Broadband Optical Fiber Transmission & Communication Networks of Ministry of Education, University of Electronic Scie

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[33]	Zhang B, Yan L S, Yang J Y, Fazal I, Willner A E 2007 IEEE Photon. Technol. Lett. 19 1081
[34]	Zhang B, Zhang L, Yan L S, Fazal I, Yang J Y, Willner A E 2007 Opt. Express 15 8317
[35]	Zadok A, Raz O, Eyal A, Tur M 2007 IEEE Photon. Technol. Lett. 19 462
[36]	Zhu Z M, Gauthier D J, Okawachi Y, Sharping J E, Gaeta A L, Boyd R W, Willner A E 2005 J. Opt. Soc. Am. B 22 2378
[37]	Schneider T, Junker M, Lauterbach K U, Henker R 2006 Electron. Lett. 42 1110
[38]	Lu Z W, Dong Y K, Li Q 2007 Opt. Express 15 1871
[39]	Dong Y K, Lu Z W, Li Q, Liu Y F 2008 J. Opt. Soc. Am. B 25 C109
[40]	Ren L Y, Tomita Y 2008 J. Opt. Soc. Am. B 25 741
[41]	Zadok A, Eyal A, Tur M 2006 Opt. Express 14 8498
[42]	Granado E C, Calderón O G, Melle S, Gauthier D J 2008 Opt. Express 16 16032
[43]	Lichtman E, Waarts R G, Friesem A A 1989 J. Lightwave Technol. 7 171
[44]	Agrawal G P 2007 Nonlinear Fiber Optics (San Diego: Academic Press) p345
[45]	Song K Y, Herráez M G, Thévenaz L 2005 Opt. Lett. 30 1782
[46]	Jáuregui C, Petropoulos P, Richardson D J 2007 Opt. Express 15 5126

Cited By

[1]	Song K Y, Herráez M G, Thévenaz L 2005 Opt. Express 13 82
[2]	Stenner M D, Neifeld M A, Zhu Z M, Dawes A M C, Gauthier D J 2005 Opt. Express 13 9995
[3]	Herráez M G, Song K Y, Thévenaz L 2006 Opt. Express 14 1395
[4]	Song K Y, Abedin K S, Hotate K, Herráez M G, Thévenaz L 2006 Opt. Express 14 5860
[5]	Schneider T, Junker M, Lauterbach K U 2006 Opt. Express 14 11082
[6]	Chin S H, Herráez M G, Thévenaz L 2006 Opt. Express 14 10684
[7]	Song K Y, Hotate K 2007 Opt. Lett. 32 217
[8]	Zhu Z M, Dawes A M C, Gauthier D J, Zhang L, Willner A E 2007 J. Lightwave Technol. 25 201
[9]	Yi L L, Jaoun Y, Hu W S, Su Y K, Bigo S 2007 Opt. Express 15 16972
[10]	Yu C Y, Luo T, Zhang L, Willner A E 2007 Opt. Lett. 32 20
[11]	Yi L L, Zhan L, Hu W S, Xia Y X 2007 IEEE Photon. Technol. Lett. 19 619
[12]	Dong Y K, Lu Z W, Li Q, Gao W 2007 Chin. Phys. Lett. 24 1586
[13]	Zhang B, Yan L S, Fazal I, Zhang L, Willner A E, Zhu Z M, Gauthier D J 2007 Opt. Express 15 1878
[14]	Schneider T, Henker R, Lauterbach K U, Junker M 2008 Opt. Express 16 8280
[15]	Sakamoto T, Yamamoto T, Shiraki K, Kurashima T 2008 Opt. Express 16 8026
[16]	Pant R, Stenner M D, Neifeld M A, Gauthier D J 2008 Opt. Express 16 2764
[17]	Wang S H, Ren L Y, Liu Y, Tomita Y 2008 Opt. Express 16 8067
[18]	Liu Y, Ren L Y, Wang S H 2008 Acta Opt. Sin. 28 2077 (in Chinese) [刘宇、任立勇、王士鹤 2008 光学学报 28 2077]
[19]	Wang S H, Ren L Y, Liu Y 2009 Acta Phys. Sin. 58 3943 (in Chinese) [王士鹤、任立勇、刘宇 2009 58 3943]
[20]	Ren L Y, Tomita Y 2009 J. Opt. Soc. Am. B 26 1281
[21]	Wiatrek A, Henker R, PreuВler S, Ammann M J, Schwarzbacher A T, Schneider T 2009 Opt. Express 16 797
[22]	Zheng D, Pang W, Yan L S, Luo B, Zou X H, Jiang N, Ma Y N 2010 Acta Phys. Sin. 59 1040 (in Chinese) [郑狄、潘炜、闫连山、罗斌、邹喜华、江宁、马雅男 2010 59 1040]
[23]	Qiu W, Zhang Y D, Ye J B, Tian H, Wang N, Wang J F, Yuan P 2007 Acta Phys. Sin. 56 7009 (in Chinese) [邱巍、掌蕴东、叶建波、田赫、王楠、王金芳、袁萍 2007 56 7009]
[24]	Qiu W, Zhang Y D, Ye J B, Tian H, Wang N, Wang H, Wang J F, Yuan P 2008 Acta Phys. Sin. 57 2242 (in Chinese) [邱巍、掌蕴东、叶建波、田赫、王楠、王号、王金芳、袁萍 2008 57 2242]
[25]	Yu T B, Liu N H 2004 Acta Phys. Sin. 53 3049 (in Chinese) [于天宝、刘念华 2004 53 3049]
[26]	Lu H, Tian H P, Li C H, Ji Y F 2009 Acta Phys. Sin. 58 2049 (in Chinese) [鲁辉、田慧平、李长红、纪越峰 2009 58 2049]
[27]	Liu H Y, Meng Z M, Dai Q F, Wu L J, Lan S, Liu S H 2009 Acta Phys. Sin. 58 4702 (in Chinese) [刘海英、蒙自明、戴峭峰、吴立军、兰胜、刘颂豪 2009 58 4702]
[28]	Du X Y, Zheng W H, Zhang Y J, Ren G, Wang K, Xing M X, Chen L H 2008 Acta Phys. Sin. 57 7005 (in Chinese) [杜晓宇、郑婉华、张冶金、任刚、王科、刑名欣、陈良惠 2008 物理学报 57 7005] 〖29] Fan B H, Zhang Y D, Yuan P 2005 Acta Phys. Sin. 54 4692 (in Chinese) [范保华、掌蕴东、袁萍 2005 54 4692]
[29]	Yao M, Zhu K D, Yuan X Z, Jiang Y W, Wu Z J 2006 Acta Phys. Sin. 55 1769 (in Chinese) [姚鸣、朱卡的、袁晓忠、蒋逸文、吴卓杰 2006 55 1769]
[30]	Su X M, Zhuo Z C, Wang L J, Gao J Y 2002 Chin. Phys. 11 1175
[31]	Jiang T, Zhang Y P, Nie Z Q, Li L, Li P Z, Shen L J, Fu X, Gan C L, Zhao R K, Song J P, Lu K Q 2007 Chin. Phys. 16 2984
[32]	Willner A E, Zhang B, Zhang L, Yan L S, Fazal I 2008 IEEE J. Sel. Topics Quantum Electron. 14 691
[33]	Zhang B, Yan L S, Yang J Y, Fazal I, Willner A E 2007 IEEE Photon. Technol. Lett. 19 1081
[34]	Zhang B, Zhang L, Yan L S, Fazal I, Yang J Y, Willner A E 2007 Opt. Express 15 8317
[35]	Zadok A, Raz O, Eyal A, Tur M 2007 IEEE Photon. Technol. Lett. 19 462
[36]	Zhu Z M, Gauthier D J, Okawachi Y, Sharping J E, Gaeta A L, Boyd R W, Willner A E 2005 J. Opt. Soc. Am. B 22 2378
[37]	Schneider T, Junker M, Lauterbach K U, Henker R 2006 Electron. Lett. 42 1110
[38]	Lu Z W, Dong Y K, Li Q 2007 Opt. Express 15 1871
[39]	Dong Y K, Lu Z W, Li Q, Liu Y F 2008 J. Opt. Soc. Am. B 25 C109
[40]	Ren L Y, Tomita Y 2008 J. Opt. Soc. Am. B 25 741
[41]	Zadok A, Eyal A, Tur M 2006 Opt. Express 14 8498
[42]	Granado E C, Calderón O G, Melle S, Gauthier D J 2008 Opt. Express 16 16032
[43]	Lichtman E, Waarts R G, Friesem A A 1989 J. Lightwave Technol. 7 171
[44]	Agrawal G P 2007 Nonlinear Fiber Optics (San Diego: Academic Press) p345
[45]	Song K Y, Herráez M G, Thévenaz L 2005 Opt. Lett. 30 1782
[46]	Jáuregui C, Petropoulos P, Richardson D J 2007 Opt. Express 15 5126

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Vol. 59, Issue 7 - 2010-04-05

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