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混沌光的延时特征(time delay signature, TDS)和带宽是影响混沌激光应用的两个重要参量, 常用来表征混沌光的混沌特性. 将具有外腔光反馈的半导体激光器(semiconductor laser, SL)作为主激光器, 以具有自混沌光相位调制光反馈的SL作为从激光器, 并将主激光器输出的混沌光双路注入到从激光器中, 构成具有外光双路注入的自混沌光相位调制光反馈的半导体激光器系统. 数值研究了外光注入系数和反馈系数等参数对系统输出光TDS的影响, 然后将此系统对TDS的抑制效果和具有外光双路注入的光反馈半导体激光器以及具有外光单路注入的自混沌光相位调制光反馈半导体激光器进行对比和分析, 从而阐明了本文所提出的方案对TDS的抑制效果较好. 在TDS被有效抑制的参数条件下, 研究了混沌光的带宽, 结果表明: 本文提出的方案可以有效提高系统输出混沌光的带宽, 获得混沌光的3 dB带宽的最大值约为16 GHz.
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关键词:
- 分布反馈半导体激光器 /
- 自混沌光相位调制光反馈 /
- 延时特征 /
- 带宽
Distributed feedback semiconductor lasers (DFB-SLs) are the class B lasers, and would output chaotic laser under the external disturbances, such as external optical feedback and optical injection. Chaotic laser are widely used in many fields, including optical fiber sensing, chaotic laser secure communication, and better entropy sources for generating high-speed random number. However, the chaotic laser outputted from the semiconductor lasers with external cavity optical feedback produces a time delay signature (TDS) , which limits the applications of chaotic laser. On the other hand, the bandwidth (BW) of chaotic carrier signal plays the important role in determining the transmission rate of information signal. Therefore, the TDS and BW are two important parameters that will affect chaotic laser’s applications, and they are usually used to describe the chaos characteristics of chaotic laser. In this paper, we present a new scheme used to describe the TDS and investigate the BW of chaotic laser from semiconductor laser. For this scheme, the output laser from a DFB-SL with external single optical feedback is injected in double ways into another DFB-SL with phase modulation optical feedback by self chaos light. Thus they form a semiconductor laser system with external double optical injection and phase modulation optical feedback by self chaos light (SL-EDOI-PMOFBSCL). We investigate numerically the influences of the system parameters on TDS, such as the injection coefficient and feedback coefficient. Then the suppression effects on TDS are contrasted and analyzed with two other systems, that is to say, the semiconductor laser with external double optical injection and optical feedback (SL-EDOI-OF) and the semiconductor laser with external single optical injection and phase modulation optical feedback by self chaos light (SL-ESOI-PMOFBSCL). The results indicate that the proposed scheme in this work has the better suppression effect on TDS. Then the BW of the chaotic laser is investigated under the parameters conditions of effectively suppressing TDS. The simulation results show that the scheme proposed in this work can enhance the BW of chaotic laser by appropriately selecting the parametric values, and the maximum BW value of the obtained chaotic laser reaches about 16 GHz. -
Keywords:
- distributed feedback semiconductor laser /
- phase modulation optical feedback by self chaos light /
- time delay signature /
- bandwidth
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图 8 对于SL-EDOI-OF和SL-ESOI-PMOFBSCL以及SL-EDOI-PMOFBSCL 输出的混沌光(a)延时特征值
$ \beta $ 随$ {K_{\text{2}}} $ 和(b)$ {K_{\text{s}}} $ 的变化曲线Fig. 8. Curves of the time delay characteristic value
$ \beta $ versus (a)$ {K_{\text{2}}} $ and (b)$ {K_{\text{s}}} $ for chaotic laser from the SL-EDOI-OF, SL-ESOI-PMOFBSCL and SL-EDOI-PMOFBSCL图 9 SL-EDOI-PMOFBSCL在反馈系数
$ {K_{\text{m}}} $ = 0.06下输出混沌激光的(a)时间序列和(b)对应的功率谱. 其中(b)中的虚线标示了混沌光的3 dB带宽值Fig. 9. Time series (a) and the corresponding power spectra (b) for chaotic laser from SL-EDOI-PMOFBSCL at feedback factor
$ {K_{\text{m}}} $ = 0.06, the dashed lines in (b) indicate the value of the 3 dB bandwidth of the chaotic laser.图 11 在不同
$ {K_{\text{m}}} $ 值下SL-EDOI-PMOFBSCL输出混沌光带宽随反馈系数$ {K_{\text{s}}} $ 变化曲线 (a)$ {K_{\text{m}}} $ = 0.12; (b)$ {K_{\text{m}}} $ = 0.18Fig. 11. Curves of bandwidth versus feedback coefficient
$ {K_{\text{s}}} $ for chaotic laser from the SL-EDOI-PMOFBSCL at different Km: (a)$ {K_{\text{m}}} $ = 0.12; (b)$ {K_{\text{m}}} $ = 0.18. -
[1] Wang Y, Wang B, Wang A 2008 IEEE Photonics. Technol. Lett. 20 1636
Google Scholar
[2] 王宇, 靳宝全, 张建国, 王东, 张明江, 王安帮, 王云才 2018 光学学报 38 0328016
Google Scholar
Wang Y, Jin B Q, Zhang J G, Wang D, Zhang M J, Wang A B, Wang Y C 2018 Acta Opt. Sin. 38 0328016
Google Scholar
[3] Simpson T B, Liu J M, Gavrielides A, Kovanis V, Alsing P M 1995 Phys. Rev. A 51 4181
Google Scholar
[4] Lin F Y, Liu J M 2003 Opt. Commun. 221 173
Google Scholar
[5] Senlin Y 2009 J. Opt. Commun. 30 20
Google Scholar
[6] Deng T, Xia G Q, Cao L P, Chen J G, Lin X D, Wu Z M 2009 Opt. Commun. 282 2243
Google Scholar
[7] Argyris A, Syvridis D, Larger L, Annovazzi V 2005 Nature 438 343
Google Scholar
[8] Uchida A, Amano K, Inoue M, Hirano K, Naito S, Someya H, Yoshimura K 2008 Nat. Photonics. 2 728
Google Scholar
[9] Metropolis N, Ulam S 1949 J. Am. Stat. Assoc. 44 335
Google Scholar
[10] 张继兵, 张建忠, 杨毅彪, 梁君生, 王云才 2010 物理学报 59 7679
Google Scholar
Zhang J B, Zhang J Z, Yang Y B, Liang J S, Wang Y C 2010 Acta Phys. Sin. 59 7679
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[11] Wu J G, Xia G Q, Tang X, Lin X D, Wu Z M 2010 Opt. Express. 18 6661
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[12] Jafari A, Sedghi H, Mabhouti K, Behnia S 2011 Opt. Commun. 284 3018
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Zhang X X, Wu T A, Chang K G, Zhang S H 2017 Chin. J. Lasers. 44 0501010
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[20] Wang Y, Zhang G, Wang A 2007 Opt. Commun. 277 156
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[21] 颜森林 2019 中国激光 46 0808003
Google Scholar
Yan S L 2019 Chin. J. Lasers. 46 0808003
Google Scholar
[22] Wang A, Yang Y, Wang B, Zhang B, Li L, Wang Y C 2013 Opt. Express 21 8701
Google Scholar
[23] Zhao A, Jiang N, Liu S, Xue C P, Tang J M, Qiu K 2019 Opt. Express 27 12336
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Google Scholar
Sun W Y, Hu B J, Wang H 2019 Las. Optoelect. Prog. 56 211404
Google Scholar
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Google Scholar
[26] Zhang R, Zhou P, Yang Y G, Fang Q, Mu P H 2020 Opt. Express. 28 7197
Google Scholar
[27] 李增, 冯玉玲, 王晓茜, 姚治海 2018 物理学报 67 140501
Google Scholar
Li Z, Feng Y L, Wang X Q, Yao Z H 2018 Acta Phys. Sin. 67 140501
Google Scholar
[28] 张依宁, 冯玉玲, 王晓茜, 赵振明, 高超, 姚治海 2020 物理学报 69 090501
Google Scholar
Zhang Y N, Feng Y L, Wang X Q, Zhao Z M, Gao C, Yao Z H 2020 Acta Phys. Sin. 69 090501
Google Scholar
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Google Scholar
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Google Scholar
Lu D, Zhong Z Q, Xia G Q, Wu Z M 2016 Acta Photon. Sin. 45 1014003
Google Scholar
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Google Scholar
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Google Scholar
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Google Scholar
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Google Scholar
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Google Scholar
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Google Scholar
Wang Y S, Zhao T, Wang A B, Zhang M J, Wang Y C 2017 Las. Optoelect. Prog. 54 111401
Google Scholar
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