短外腔偏振旋转光反馈下1550 nm垂直腔面发射激光器的动力学特性研究

王小发; 李骏

doi:10.7498/aps.63.014203

摘要

基于扩展的自旋反转模型，对短外腔偏振旋转光反馈下1550 nm垂直腔面发射激光器的动力学特性进行了数值仿真和理论分析. 研究结果表明：增加反馈强度会导致多个偏振开关现象出现，中等反馈强度下呈现丰富的动力学状态，譬如单周期、倍周期、准周期及混沌态，增加注入电流使Y方向线偏振模的工作区域被压缩；随着反馈延迟时间的增加，在弱光反馈时，偏振模跳变现象将会以特定的频率发生，施加中等的反馈强度将会导致模式跳变的频率增加，并且出现各种新的动力学状态，包括拍频单周期、拍频脉冲包络、拍频准周期和拍频混沌态. 新动力学行为的出现是由于短外腔区激光器的动力学特性对相位变化非常敏感，从而使外腔模式间的拍频效应发挥了关键作用. 此外还发现各种动力学状态之间会伴随模式间的跳变而发生相互跳变.

关键词:

Abstract

Based on the extended spin-flip model (SFM), we investigate theoretically the dynamic characteristics of 1550nm vertical-cavity surface-emitting laser subject to polarization-rotated optical feedback: the short cavity regime. Results show that increasing the feedback strength will result in multiple polarization switching (PS) phenomena, and there will appear rich dynamics under the condition of medium feedback intensity, such as single period, period-doubling, quasi-periodic and chaotic states. At the same time, the increase of injection current will result in the reduction of working area of Y direction polarization mode. As the feedback delay time increases, under the condition of weak optical feedback polarization mode, the hopping phenomenon will take place at a particular frequency; the frequency of mode hopping will increase with the increase of moderate feedback strength, and the laser shows a variety of new dynamic characteristics, such as single period, pulse envelope, quasi-periodic and chaotic states, by taking a beat frequency signal. These dynamic characteristics are very sensitive to the phase change so the beat frequency effect between external cavity modes plays a key role. In addition, the hopping phenomenon between various dynamic states can also be found along with the mode hopping.

Keywords:

1550 nm vertical cavity surface emitting lasers /
the short external cavity /
polarization-rotated optical feedback /
dynamic characteristics

作者及机构信息

王小发¹,
李骏²

1.
重庆邮电大学光电工程学院, 重庆 400065;

2.
重庆医药高等专科学校基础部, 重庆 401331

基金项目: 国家自然科学基金（批准号：11304409）、重庆市自然科学基金（批准号：CSTC2013icyjA40004）和重庆邮电大学自然科学基金（批准号：A2012-24）资助的课题.

Authors and contacts

Wang Xiao-Fa¹,
Li Jun²

1.
School of Optoelectronics Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;

2.
Basic Ministry, Chongqing Medical and Phamaceutical college, Chongqing 401331, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11304409), the Natural Science Foundation of Chongqing City, China (Grant No. CSTC2013icyjA40004), and the Natural Science Foundation of Chongqing University of Posts and Telecommunications, China (Grant No. A2012-24).

参考文献

[1]	Mork J, Mark J, Tromborg B 1990 Phys. Rev. Lett. 65 1999
[2]	Dente G C, Durkin P S, Wilson K A, Moeller C E 1988 IEEE J. Quantum Electron. 24 2441
[3]	Lenstra D, Bverbeek B H, Den Boff A J 1985 IEEE J. Quantum Electron. 21 674
[4]	Wang C L, Wu J, Lin J T 2002 Chin. Phys. 11 1033
[5]	Wang C L, Wu J, Lin J T 2003 Chin. Phys. 12 1120
[6]	Liu S F, Xia G Q, Wu J G, Li L F, Wu Z M 2008 Acta Phys. Sin. 57 1502 (in Chinese) [刘胜芳, 夏光琼, 吴加贵, 李林福, 吴正茂 2008 57 1502]
[7]	Zhang X J, Wang B J, Yang L J, Wang A B, Guo D M, Wang Y C 2009 Acta Phys. Sin. 58 3203 (in Chinese) [张秀娟, 王冰洁, 杨玲珍, 王安帮, 郭东明, 王云才 2009 58 3203]
[8]	Tang S, Liu J M 2003 IEEE J. Quantum Electron. 39 708
[9]	David W S, Karen L B, Allison R S, Katherine J B, Jake V B, Athanasios G 2004 Opt. Lett. 29 2393
[10]	Joanne Y L, Govind P A 1998 J. Opt. Soc. Am. B 15 562
[11]	Wang X F, Xia G Q, Wu Z M 2009 Acta Phys. Sin. 58 4669 (in Chinese) [王小发, 夏光琼, 吴正茂 2009 58 4669]
[12]	Yan S L 2010 Opt. Commun. 283 3305
[13]	Wang A B, Wang Y C, He F C 2008 IEEE Phon. Tech. Lett. 20 1633
[14]	Zhang W L, Pan W, Luo B, Zou X H, Wang M Y, Zhou Z 2008 Opt. Lett. 33 237
[15]	Zhang M J, Liu T G, Li P, Wang A B, Zhang J Z, Wang Y C 2011 IEEE Phon. Tech. Lett. 23 1872
[16]	Hirano K, Yamazaki T, Morikatsu S, Okumura H, Aida H, Uchida A, Yoshimori S, Yoshimura K, Harayama T, Davis P 2010 Opt. Express 18 5512
[17]	Wang A B, Wang Y C, Wang J F 2009 Opt. Lett. 34 1144
[18]	Wu J G, Wu Z M, Tang X, Fan L, Deng W, Xia G Q 2013 IEEE Phon. Tech. Lett. 25 587
[19]	Heil T, Fischer I, Elsäßer W, Krauskopf B, Green K, Gavrielides A 2003 Phys. Rev. E 67 066214
[20]	Heil T, Fischer I, Elsäßer W, Gavrielides A 2001 Phys. Rev. Lett. 87 243901
[21]	Peil M, Fischer I, Elsäßer W 2004 C. R. Physique 5 633]
[22]	Ahlers V, Parlitz U, Lauterborn W 1998 Phys. Rev. E 58 7208
[23]	Miguel M S, Feng Q, Moloney J V 1995 Phys. Rev. A 52 1728
[24]	Regalado J M, Prati F, Miguel M S, Abraham N B 1997 IEEE J. Quantum Electron. 33 765
[25]	Sondermann M, Ackemann T, Balle S, Mulet J, Panajotov K 2004 Opt. Commun. 235 421
[26]	Koyama F 2006 J. Light. Technol. 24 4502
[27]	Virte M, Panajotov K, Thienpont H, Sciamanna M 2013 Nature. Photon. 7 60
[28]	Muller M, Hofmann W, Grundl T, Horn M, Wolf P, Nagel R D, Ronneberg E, Bohm G, Bimberg D, Amann M C 2011 IEEE J. Sel. Top. Quantum Electron. 17 1158
[29]	Quirce A, Cuesta J R, Valle A, Hurtado A, Pesquera P, Adams M J 2012 IEEE J. Sel. Top. Quantum Electron 18 772
[30]	Sciamanna M, Panajotov K, Thienpont H, Veretennicoff I, Mégret P, Blondel M 2003 Opt. Lett. 28 1543
[31]	Deng T, Wu Z M, Xie Y Y, Wu J G, Tang X, Fan L, Panajotov K, Xia G Q 2013 Appl. Opt. 52 3833
[32]	Zheng A J, Wu Z M, Deng T, Li X J, Xia G Q 2012 Acta Phys. Sin. 61 234203 (in Chinese) [郑安杰, 吴正茂, 邓涛, 李小坚, 夏光琼 2012 61 234203]
[33]	Liu J, Wu Z M, Xia G Q 2009 Opt. Express 17 12620
[34]	Cheng X H, Lin X D, Wu Z M, Fan L, Cao T, Xia G Q 2012 Acta Phys. Sin. 61 094209 (in Chinese) [陈兴华, 林晓东, 吴正茂, 樊利, 曹体, 夏光琼 2012 61 094209]
[35]	Quirce A, Pérez P, Valle A, Pesquera L 2011 J. Opt. Soc. Am. B 28 2765
[36]	Al-Seyab R, Schires K, Khan N A, Hurtado A, Henning I D, Adams M J 2011 IEEE J. Sel. Top. Quantum Electron. 17 1242

施引文献

[1]	Mork J, Mark J, Tromborg B 1990 Phys. Rev. Lett. 65 1999
[2]	Dente G C, Durkin P S, Wilson K A, Moeller C E 1988 IEEE J. Quantum Electron. 24 2441
[3]	Lenstra D, Bverbeek B H, Den Boff A J 1985 IEEE J. Quantum Electron. 21 674
[4]	Wang C L, Wu J, Lin J T 2002 Chin. Phys. 11 1033
[5]	Wang C L, Wu J, Lin J T 2003 Chin. Phys. 12 1120
[6]	Liu S F, Xia G Q, Wu J G, Li L F, Wu Z M 2008 Acta Phys. Sin. 57 1502 (in Chinese) [刘胜芳, 夏光琼, 吴加贵, 李林福, 吴正茂 2008 57 1502]
[7]	Zhang X J, Wang B J, Yang L J, Wang A B, Guo D M, Wang Y C 2009 Acta Phys. Sin. 58 3203 (in Chinese) [张秀娟, 王冰洁, 杨玲珍, 王安帮, 郭东明, 王云才 2009 58 3203]
[8]	Tang S, Liu J M 2003 IEEE J. Quantum Electron. 39 708
[9]	David W S, Karen L B, Allison R S, Katherine J B, Jake V B, Athanasios G 2004 Opt. Lett. 29 2393
[10]	Joanne Y L, Govind P A 1998 J. Opt. Soc. Am. B 15 562
[11]	Wang X F, Xia G Q, Wu Z M 2009 Acta Phys. Sin. 58 4669 (in Chinese) [王小发, 夏光琼, 吴正茂 2009 58 4669]
[12]	Yan S L 2010 Opt. Commun. 283 3305
[13]	Wang A B, Wang Y C, He F C 2008 IEEE Phon. Tech. Lett. 20 1633
[14]	Zhang W L, Pan W, Luo B, Zou X H, Wang M Y, Zhou Z 2008 Opt. Lett. 33 237
[15]	Zhang M J, Liu T G, Li P, Wang A B, Zhang J Z, Wang Y C 2011 IEEE Phon. Tech. Lett. 23 1872
[16]	Hirano K, Yamazaki T, Morikatsu S, Okumura H, Aida H, Uchida A, Yoshimori S, Yoshimura K, Harayama T, Davis P 2010 Opt. Express 18 5512
[17]	Wang A B, Wang Y C, Wang J F 2009 Opt. Lett. 34 1144
[18]	Wu J G, Wu Z M, Tang X, Fan L, Deng W, Xia G Q 2013 IEEE Phon. Tech. Lett. 25 587
[19]	Heil T, Fischer I, Elsäßer W, Krauskopf B, Green K, Gavrielides A 2003 Phys. Rev. E 67 066214
[20]	Heil T, Fischer I, Elsäßer W, Gavrielides A 2001 Phys. Rev. Lett. 87 243901
[21]	Peil M, Fischer I, Elsäßer W 2004 C. R. Physique 5 633]
[22]	Ahlers V, Parlitz U, Lauterborn W 1998 Phys. Rev. E 58 7208
[23]	Miguel M S, Feng Q, Moloney J V 1995 Phys. Rev. A 52 1728
[24]	Regalado J M, Prati F, Miguel M S, Abraham N B 1997 IEEE J. Quantum Electron. 33 765
[25]	Sondermann M, Ackemann T, Balle S, Mulet J, Panajotov K 2004 Opt. Commun. 235 421
[26]	Koyama F 2006 J. Light. Technol. 24 4502
[27]	Virte M, Panajotov K, Thienpont H, Sciamanna M 2013 Nature. Photon. 7 60
[28]	Muller M, Hofmann W, Grundl T, Horn M, Wolf P, Nagel R D, Ronneberg E, Bohm G, Bimberg D, Amann M C 2011 IEEE J. Sel. Top. Quantum Electron. 17 1158
[29]	Quirce A, Cuesta J R, Valle A, Hurtado A, Pesquera P, Adams M J 2012 IEEE J. Sel. Top. Quantum Electron 18 772
[30]	Sciamanna M, Panajotov K, Thienpont H, Veretennicoff I, Mégret P, Blondel M 2003 Opt. Lett. 28 1543
[31]	Deng T, Wu Z M, Xie Y Y, Wu J G, Tang X, Fan L, Panajotov K, Xia G Q 2013 Appl. Opt. 52 3833
[32]	Zheng A J, Wu Z M, Deng T, Li X J, Xia G Q 2012 Acta Phys. Sin. 61 234203 (in Chinese) [郑安杰, 吴正茂, 邓涛, 李小坚, 夏光琼 2012 61 234203]
[33]	Liu J, Wu Z M, Xia G Q 2009 Opt. Express 17 12620
[34]	Cheng X H, Lin X D, Wu Z M, Fan L, Cao T, Xia G Q 2012 Acta Phys. Sin. 61 094209 (in Chinese) [陈兴华, 林晓东, 吴正茂, 樊利, 曹体, 夏光琼 2012 61 094209]
[35]	Quirce A, Pérez P, Valle A, Pesquera L 2011 J. Opt. Soc. Am. B 28 2765
[36]	Al-Seyab R, Schires K, Khan N A, Hurtado A, Henning I D, Adams M J 2011 IEEE J. Sel. Top. Quantum Electron. 17 1242

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