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Performances of time-delay signature and bandwidth of the chaos generated by a vertical-cavity surface-emitting laser under chaotic optical injection

Su Bin-Bin Chen Jian-Jun Wu Zheng-Mao Xia Guang-Qiong

Performances of time-delay signature and bandwidth of the chaos generated by a vertical-cavity surface-emitting laser under chaotic optical injection

Su Bin-Bin, Chen Jian-Jun, Wu Zheng-Mao, Xia Guang-Qiong
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  • Time-delay signature (TDS) and effective bandwidth (EBW) are two key performance indexes to evaluate a chaos signal generated by a laser system including delay-time feedback. In this paper, we propose and simulate a technical scheme to optimize the TDS and EBW of chaotic signal generated by a slave vertical-cavity surface-emitting laser (S-VCSEL) under chaotic optical injection from a master vertical-cavity surface-emitting laser (M-VCSEL), which is subjected to double external-cavity feedback. First, based on the spin-flip model of a VCSEL subjected to two double external-cavity feedback, the time series of two orthogonal polarization components (referred to as X-component (X-PC) and Y-component (Y-PC), respectively) in the M-VCSEL can be obtained. Furthermore, with the help of self-correlation function (SF) analysis method, the TDSs of X-PC and Y-PC can be evaluated. The results show that through selecting suitable system operation parameters, X-PC and Y-PC in the M-VCSEL can simultaneously output chaotic signals with equivalently average intensity and weak TDS. Under optimized operation parameters, the peak values of the SF (σ) of the chaotic signal are 0.20 for X-PC and 0.16 for Y-PC, respectively, and the EBWs of the chaotic signal are 10.72 GHz for X-PC and 10.10 GHz for Y-PC, respectively. The chaotic signals output from the M-VCSEL under optimized operation parameters are injected into the S-VCSEL for further weakening TDS and enhancing EBW. Through examining the evolution rules of TDS and EBW of polarization-resolved chaotic signals in the parameter space composed of injection strength and frequency detuning, the ranges of optimizing injection parameters are determined for achieving two-channel chaotic signals with well suppressed TDS (σ 15 GHz).
      Corresponding author: Wu Zheng-Mao, zmwu@swu.edu.cn;gqxia@swu.edu.cn ; Xia Guang-Qiong, zmwu@swu.edu.cn;gqxia@swu.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61475127, 61575163, 61775184).
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    [2]

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    [3]

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    [4]

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    Oliver N, Soriano M C, Sukow D W, Fischer I 2013 IEEE J. Quantum Electron. 49 910

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    Sakuraba R, Iwakawa K, Kanno K, Uchida A 2015 Opt. Express 23 1470

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    Wang A B, Li P, Zhang J G, Zhang J Z, Li L, Wang Y C 2013 Opt. Express 21 20452

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    Rontani D, Locquet A, Sciamanna M, Citrin D S, Ortin S 2009 IEEE J. Quantum Electron. 45 879

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    Kong L Q, Wang A B, Wang H H, Wang Y C 2008 Acta Phys. Sin. 57 2266 (in Chinese) [孔令琴, 王安邦, 王海红, 王云才 2008 物理学报 57 2266]

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    Zhang L Y, Pan W, Yan L S, Luo B, Zou X H, Xiang S Y, Li N Q 2012 IEEE Photon. Technol. Lett. 24 1693

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    Hwang S K, Liu J M 2000 Opt. Commun. 183 195

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    Yan S L 2012 Acta Phys. Sin. 61 160505 (in Chinese) [颜森林 2012 物理学报 61 160505]

    [15]

    Lin F Y, Liu J M 2003 IEEE J. Quantum Electron. 39 562

    [16]

    Zhang W L, Pan W, Luo B, Li X F, Zou X H, Wang M Y 2007 Appl. Opt. 46 7262

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    Bandt C, Pompe B 2002 Phys. Rev. Lett. 88 174102

    [18]

    Guo Y Y, Wu Y, Wang Y C 2012 Chin. Opt. Lett. 10 061901

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    Short K M, Parker A T 1998 Phys. Rev. E 58 1159

    [20]

    Rontani D, Locquet A, Sciamanna M, Citrin D S 2007 Opt. Lett. 32 2960

    [21]

    Wu J G, Xia G Q, Wu Z M 2009 Opt. Express 17 20124

    [22]

    Zhu X H, Cheng M F, Deng L, Jiang X X, Ke C J, Zhang M M, Fu S N, Tang M, Shum P, Liu D M 2017 IEEE Photon. J. 9 6601009

    [23]

    Ke J X, Yi L L, Hou T T, Hu Y, Xia G Q, Hu W S 2017 IEEE Photon. J. 9 7200808

    [24]

    Iga K 2000 IEEE J. Sel. Top. Quantum Electron. 6 1201

    [25]

    Xiang S Y, Pan W, Luo B, Yan L S, Zou X H, Jiang N, Li N Q, Zhu H N 2012 IEEE Photon. Technol. Lett. 24 1267

    [26]

    Zhang X X, Zhang S H, Wu T A, Sun W Y 2016 Acta Phys. Sin. 65 214206 (in Chinese) [张晓旭, 张胜海, 吴天安, 孙巍阳 2016 物理学报 65 214206]

    [27]

    Lin H, Hong Y H, Shore K A 2014 J. Lightwave Technol. 32 1829

    [28]

    Yang X J, Chen J J, Xia G Q, Wu J G, Wu Z M 2015 Acta Phys. Sin. 64 224213 (in Chinese) [杨显杰, 陈建军, 夏光琼, 吴加贵, 吴正茂 2015 物理学报 64 224213]

    [29]

    San Miguel M, Feng Q, Moloney J V 1995 Phys. Rev. A 52 1728

    [30]

    Martin-Regalado J, Prati F, San Miguel M, Abraham N B 1997 IEEE J. Quantum Electron. 33 765

    [31]

    Xiao P, Wu Z M, Wu J G, Jiang L, Deng T, Tang X, Fan L, Xia G Q 2013 Opt. Commun. 286 339

    [32]

    Liu H J, Li N Q, Zhao Q C 2015 Appl. Opt. 54 4380

    [33]

    Sodermann M, Weinkath M, Ackemann T 2004 IEEE J. Quantum Electron. 40 97

    [34]

    Elsonbaty A, Hegazy S F, Obayya S S A 2015 IEEE J. Quantum Electron. 51 2400309

    [35]

    Lin F Y, Chao Y K, Wu T C 2012 IEEE J. Quantum Electron. 48 1010

    [36]

    Kanno K, Uchida A, Bunsen M 2016 Phys. Rev. E 93 032206

    [37]

    Zhong Z Q, Wu Z M, Wu J G, Xia G Q 2013 IEEE Photon. J. 5 1500409

  • [1]

    Argyris A, Syvridis D, Larger L, Annovazzi-Lodi V, Colet P, Fischer I, García-Ojalvo J, Mirasso C R, Pesquera L, Shore K A 2005 Nature 438 343

    [2]

    Li N Q, Pan W, Luo B, Yan L S, Zou X H, Jiang N, Xiang S Y 2012 IEEE Photon. Technol. Lett. 24 1072

    [3]

    Liu J, Wu Z M, Xia G Q 2009 Opt. Express 17 12619

    [4]

    Zhong D Z, Deng T, Zheng G L 2014 Acta Phys. Sin. 63 70504 (in Chinese) [钟东洲, 邓涛, 郑国梁 2014 物理学报 63 70504]

    [5]

    Lin F Y, Liu J M 2004 IEEE J. Sel. Top. Quantum Electron. 10 991

    [6]

    Oliver N, Soriano M C, Sukow D W, Fischer I 2013 IEEE J. Quantum Electron. 49 910

    [7]

    Uchida A, Amano K, Inoue M, Hirano K, Naito S, Someya H, Oowada I, Kurashige T, Shiki M, Yoshimori S, Yoshimura K, Dovis P 2008 Nat. Photon. 2 728

    [8]

    Sakuraba R, Iwakawa K, Kanno K, Uchida A 2015 Opt. Express 23 1470

    [9]

    Wang A B, Li P, Zhang J G, Zhang J Z, Li L, Wang Y C 2013 Opt. Express 21 20452

    [10]

    Rontani D, Locquet A, Sciamanna M, Citrin D S, Ortin S 2009 IEEE J. Quantum Electron. 45 879

    [11]

    Kong L Q, Wang A B, Wang H H, Wang Y C 2008 Acta Phys. Sin. 57 2266 (in Chinese) [孔令琴, 王安邦, 王海红, 王云才 2008 物理学报 57 2266]

    [12]

    Zhang L Y, Pan W, Yan L S, Luo B, Zou X H, Xiang S Y, Li N Q 2012 IEEE Photon. Technol. Lett. 24 1693

    [13]

    Hwang S K, Liu J M 2000 Opt. Commun. 183 195

    [14]

    Yan S L 2012 Acta Phys. Sin. 61 160505 (in Chinese) [颜森林 2012 物理学报 61 160505]

    [15]

    Lin F Y, Liu J M 2003 IEEE J. Quantum Electron. 39 562

    [16]

    Zhang W L, Pan W, Luo B, Li X F, Zou X H, Wang M Y 2007 Appl. Opt. 46 7262

    [17]

    Bandt C, Pompe B 2002 Phys. Rev. Lett. 88 174102

    [18]

    Guo Y Y, Wu Y, Wang Y C 2012 Chin. Opt. Lett. 10 061901

    [19]

    Short K M, Parker A T 1998 Phys. Rev. E 58 1159

    [20]

    Rontani D, Locquet A, Sciamanna M, Citrin D S 2007 Opt. Lett. 32 2960

    [21]

    Wu J G, Xia G Q, Wu Z M 2009 Opt. Express 17 20124

    [22]

    Zhu X H, Cheng M F, Deng L, Jiang X X, Ke C J, Zhang M M, Fu S N, Tang M, Shum P, Liu D M 2017 IEEE Photon. J. 9 6601009

    [23]

    Ke J X, Yi L L, Hou T T, Hu Y, Xia G Q, Hu W S 2017 IEEE Photon. J. 9 7200808

    [24]

    Iga K 2000 IEEE J. Sel. Top. Quantum Electron. 6 1201

    [25]

    Xiang S Y, Pan W, Luo B, Yan L S, Zou X H, Jiang N, Li N Q, Zhu H N 2012 IEEE Photon. Technol. Lett. 24 1267

    [26]

    Zhang X X, Zhang S H, Wu T A, Sun W Y 2016 Acta Phys. Sin. 65 214206 (in Chinese) [张晓旭, 张胜海, 吴天安, 孙巍阳 2016 物理学报 65 214206]

    [27]

    Lin H, Hong Y H, Shore K A 2014 J. Lightwave Technol. 32 1829

    [28]

    Yang X J, Chen J J, Xia G Q, Wu J G, Wu Z M 2015 Acta Phys. Sin. 64 224213 (in Chinese) [杨显杰, 陈建军, 夏光琼, 吴加贵, 吴正茂 2015 物理学报 64 224213]

    [29]

    San Miguel M, Feng Q, Moloney J V 1995 Phys. Rev. A 52 1728

    [30]

    Martin-Regalado J, Prati F, San Miguel M, Abraham N B 1997 IEEE J. Quantum Electron. 33 765

    [31]

    Xiao P, Wu Z M, Wu J G, Jiang L, Deng T, Tang X, Fan L, Xia G Q 2013 Opt. Commun. 286 339

    [32]

    Liu H J, Li N Q, Zhao Q C 2015 Appl. Opt. 54 4380

    [33]

    Sodermann M, Weinkath M, Ackemann T 2004 IEEE J. Quantum Electron. 40 97

    [34]

    Elsonbaty A, Hegazy S F, Obayya S S A 2015 IEEE J. Quantum Electron. 51 2400309

    [35]

    Lin F Y, Chao Y K, Wu T C 2012 IEEE J. Quantum Electron. 48 1010

    [36]

    Kanno K, Uchida A, Bunsen M 2016 Phys. Rev. E 93 032206

    [37]

    Zhong Z Q, Wu Z M, Wu J G, Xia G Q 2013 IEEE Photon. J. 5 1500409

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  • Received Date:  30 June 2017
  • Accepted Date:  21 July 2017
  • Published Online:  20 December 2017

Performances of time-delay signature and bandwidth of the chaos generated by a vertical-cavity surface-emitting laser under chaotic optical injection

    Corresponding author: Wu Zheng-Mao, zmwu@swu.edu.cn;gqxia@swu.edu.cn
    Corresponding author: Xia Guang-Qiong, zmwu@swu.edu.cn;gqxia@swu.edu.cn
  • 1. School of Physical Science and Technology, Southwest University, Chongqing 400715 China;
  • 2. School of Medical Engineering Technology, Xinjiang Medical University, Urumqi 830011, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 61475127, 61575163, 61775184).

Abstract: Time-delay signature (TDS) and effective bandwidth (EBW) are two key performance indexes to evaluate a chaos signal generated by a laser system including delay-time feedback. In this paper, we propose and simulate a technical scheme to optimize the TDS and EBW of chaotic signal generated by a slave vertical-cavity surface-emitting laser (S-VCSEL) under chaotic optical injection from a master vertical-cavity surface-emitting laser (M-VCSEL), which is subjected to double external-cavity feedback. First, based on the spin-flip model of a VCSEL subjected to two double external-cavity feedback, the time series of two orthogonal polarization components (referred to as X-component (X-PC) and Y-component (Y-PC), respectively) in the M-VCSEL can be obtained. Furthermore, with the help of self-correlation function (SF) analysis method, the TDSs of X-PC and Y-PC can be evaluated. The results show that through selecting suitable system operation parameters, X-PC and Y-PC in the M-VCSEL can simultaneously output chaotic signals with equivalently average intensity and weak TDS. Under optimized operation parameters, the peak values of the SF (σ) of the chaotic signal are 0.20 for X-PC and 0.16 for Y-PC, respectively, and the EBWs of the chaotic signal are 10.72 GHz for X-PC and 10.10 GHz for Y-PC, respectively. The chaotic signals output from the M-VCSEL under optimized operation parameters are injected into the S-VCSEL for further weakening TDS and enhancing EBW. Through examining the evolution rules of TDS and EBW of polarization-resolved chaotic signals in the parameter space composed of injection strength and frequency detuning, the ranges of optimizing injection parameters are determined for achieving two-channel chaotic signals with well suppressed TDS (σ 15 GHz).

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