自混沌光相位调制光反馈半导体激光器输出光的混沌特性

庞爽; 冯玉玲; 于萍; 姚治海

doi:10.7498/aps.71.20220204

摘要

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.

关键词:

Abstract

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

作者及机构信息

长春理工大学物理系, 长春　130022

通信作者: 冯玉玲, FYLCUST@163.com

基金项目: 吉林省科技发展计划 (批准号: 20190201135JC) 资助的课题.

Authors and contacts

Department of Physics, Changchun University of Science and Technology, Changchun 130022, China

Corresponding author: Feng Yu-Ling, FYLCUST@163.com

Funds: Project supported by the Science and Technology Development Project of Jilin Province, China (Grant No. 20190201135JC).

文章全文 : translate this paragraph

参考文献

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施引文献

图 1 具有外光双路注入的自混沌光相位调制的光反馈半导体激光器系统的示意图

Fig. 1. Schematic diagram of semiconductor laser system with external double optical injection and phase modulation optical feedback by self chaos light.

下载: 全尺寸图片幻灯片

图 2 SL-EDOI-PMOFBSCL在延迟时间$ {\tau _{\text{s}}} = 3 $ ns下输出混沌激光的(a)时间序列和(b)对应的自相关函数曲线

Fig. 2. Time series (a) and the corresponding ACF curves (b) of chaotic laser from the SL-EDOI-PMOFBSCL at times delay $ {\tau _{\text{s}}} = 3 $ ns.

下载: 全尺寸图片幻灯片

图 3 SL-EDOI-PMOFBSCL输出混沌光延时特征值$ \beta $随参数$ {K_{\text{s}}} $和$ {K_{\text{m}}} $变化的二维图

Fig. 3. Two-dimensional maps of the time-delay characteristic value $ \beta $ in the parameter space of $ {K_{\text{s}}} $ and $ {K_{\text{m}}} $ for chaotic laser from the SL-EDOI-PMOFBSCL.

下载: 全尺寸图片幻灯片

图 4 SL-EDOI-PMOFBSCL输出混沌激的延时特征值$ \beta $随参数$ {K_{\text{1}}} $和$ {K_{\text{2}}} $变化的二维图

Fig. 4. Two-dimensional maps of the time-delay characteristic value $ \beta $ in the parameter space of $ {K_{\text{1}}} $ and $ {K_{\text{2}}} $ for chaotic laser from the SL-EDOI-PMOFBSCL.

下载: 全尺寸图片幻灯片

图 5 SL-EDOI-PMOFBSCL输出混沌光的延时特征值$ \beta $随参数$ {K_{\text{s}}} $和$ {K_{\text{2}}} $变化的二维图

Fig. 5. Two-dimensional maps of the time-delay characteristic value $ \beta $ in the parameter space of $ {K_{\text{s}}} $ and $ {K_{\text{2}}} $ for chaotic laser from the SL-EDOI-PMOFBSCL.

下载: 全尺寸图片幻灯片

图 6 SL-EDOI-PMOFBSCL输出混沌光的延时特征值$ \beta $随$ {P_{\text{m}}} $的变化曲线

Fig. 6. Curve of the time delay characteristic values $ \beta $ with $ {P_{\text{m}}} $ for chaotic laser from the SL-EDOI-PMOFBSCL.

下载: 全尺寸图片幻灯片

图 7 SL-EDOI-PMOFBSCL输出混沌激光的延时特征值$ \beta $随$ \Delta f $的变化曲线

Fig. 7. Curve of the time delay characteristic values $ \beta $ versus $ \Delta f $ for chaotic laser from the SL-EDOI-PMOFBSCL.

下载: 全尺寸图片幻灯片

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

下载: 全尺寸图片幻灯片

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.

下载: 全尺寸图片幻灯片

图 10 SL-EDOI-PMOFBSCL输出混沌激光带宽随反馈系数$ {K_{\text{m}}} $的变化曲线

Fig. 10. Curve of bandwidth versus feedback coefficient $ {K_{\text{m}}} $ for chaotic laser from SL-EDOI-PMOFBSCL.

下载: 全尺寸图片幻灯片

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}}} $= 0.18

Fig. 11. Curves of bandwidth versus feedback coefficient $ {K_{\text{s}}} $ for chaotic laser from the SL-EDOI-PMOFBSCL at different K_m: (a) $ {K_{\text{m}}} $= 0.12; (b) $ {K_{\text{m}}} $= 0.18.

下载: 全尺寸图片幻灯片

图 12 SL-EDOI-PMOFBSCL输出混沌激光的带宽随$ {K_{\text{2}}} $的变化曲线

Fig. 12. Bandwidth versus $ {K_{\text{2}}} $ for chaotic laser from the SL-EDOI-PMOFBSCL.

下载: 全尺寸图片幻灯片

图 13 SL-EDOI-PMOFBSCL输出混沌激光的带宽随$ {P_{\text{m}}} $的变化

Fig. 13. Bandwidth versus $ {P_{\text{m}}} $ for chaotic laser from the SL-EDOI-PMOFBSCL.

下载: 全尺寸图片幻灯片

图 14 SL-EDOI-PMOFBSCL输出混沌激光带宽随$ \Delta f $的变化

Fig. 14. Bandwidth versus $ \Delta f $ for chaotic laser from the SL-EDOI-PMOFBSCL.

下载: 全尺寸图片幻灯片

map

[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 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 Google Scholar
[11]	Wu J G, Xia G Q, Tang X, Lin X D, Wu Z M 2010 Opt. Express. 18 6661 Google Scholar
[12]	Jafari A, Sedghi H, Mabhouti K, Behnia S 2011 Opt. Commun. 284 3018 Google Scholar
[13]	Udaltsov V S, Goedgebuer J P, Larger L, Vladimir S, Cuenot J, William T, Rhodes 2003 Phys. Lett. E 308 54 Google Scholar
[14]	Rontani D, Locquet A, Sciamanna M, Citrin D S 2007 Opt. Lett. 32 2960 Google Scholar
[15]	Vicente R, Daudén J, Colet P, Toral R 2005 IEEE J. Quantum Electron. 41 541 Google Scholar
[16]	Xiang S, Pan W, Zhang L 2014 Opt. Commun. 324 38 Google Scholar
[17]	贾耕涛, 陈毅龙, 余江涛, 柯俊翔, 义理林 2018 光通信研究 2 11 Google Scholar Jia G T, Chen Y L, Yu J T, Ke J X, Yi L L 2018 Study Opt. Commun. 2 11 Google Scholar
[18]	张晓旭, 吴天安, 常凯歌, 张胜海 2017 中国激光 44 0501010 Google Scholar Zhang X X, Wu T A, Chang K G, Zhang S H 2017 Chin. J. Lasers. 44 0501010 Google Scholar
[19]	Lin F Y, Liu J M 2004 IEEE J. Quantum Electron. 40 815 Google Scholar
[20]	Wang Y, Zhang G, Wang A 2007 Opt. Commun. 277 156 Google Scholar
[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 Google Scholar
[24]	孙巍阳, 胡宝洁, 王航 2019 激光与光电子学进展 56 211404 Google Scholar Sun W Y, Hu B J, Wang H 2019 Las. Optoelect. Prog. 56 211404 Google Scholar
[25]	Cui S, Zhang J Z 2019 IEEE Photonics J. 11 7905208 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 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 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
[29]	Lang R, Kobayashi K 1980 IEEE J. Quantum Electron. 16 347 Google Scholar
[30]	卢东, 钟祝强, 夏光琼, 吴正茂 2016 光子学报 45 1014003 Google Scholar Lu D, Zhong Z Q, Xia G Q, Wu Z M 2016 Acta Photon. Sin. 45 1014003 Google Scholar
[31]	Mikami T, Kanno K, Aoyama K 2012 Phys. Rev. E 85 016211 Google Scholar
[32]	王云才, 张耕玮, 王安帮, 王冰洁, 李艳丽, 郭萍 2007 56 4372 Google Scholar Wang Y C, Zhang G W, Wang A B, Wang B J, Li Y L, Guo P 2007 Acta Phys. Sin. 56 4372 Google Scholar
[33]	阎娟, 潘炜, 李念强, 张力月, 刘庆喜 2016 65 204203 Google Scholar Yan J, Pan W, Li N Q, Zhang L Y, Liu Q X 2016 Acta Phys. Sin. 65 204203 Google Scholar
[34]	王永胜, 赵彤, 王安帮, 张明江, 王云才 2017 激光与光电子进展 54 111401 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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自混沌光相位调制光反馈半导体激光器输出光的混沌特性