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Zhao AK, Jiang N, Peng JF, Liu SQ, Zhang YQ et al. Parallel generation of low-correlation wideband complex chaotic signals using CW laser and external-cavity laser with self-phase-modulated injection. Opto-Electron Adv 5, 200026 (2022). doi: 10.29026/oea.2022.200026
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Original Article Open Access
Parallel generation of low-correlation wideband complex chaotic signals using CW laser and external-cavity laser with self-phase-modulated injection
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Abstract
A novel scheme for generating optical chaos is proposed and experimentally demonstrated, which supports to simultaneously produce two low-correlation chaotic signals with wideband spectrum and suppressed time-delay-signature (TDS). In the proposed scheme, we use the output of an external-cavity semiconductor laser (ECSL) as the driving signal of a phase modulator to modulate the output of a CW laser. Then the phase-modulated continuous-wave (CW) light is split into two parts, one is injected back into the ECSL that outputs one chaotic signal, while the other part is passed through a dispersion module for generating another chaotic signal simultaneously. The experimental results prove that the proposed scheme has three merits. Firstly, it can improve the bandwidth of ECSL-based chaos by several times, and simultaneously generate another wideband flat-spectrum chaotic signal. Secondly, the undesired TDS characteristics of the simultaneously-generated chaotic signals can be efficiently suppressed to an indistinguishable level within a wide parameter range, as such the complexities of the chaotic signals are considerably high. Thirdly, the correlation coefficient between these two simultaneously-generated chaotic signals is smaller than 0.1. The proposed scheme provides an attractive solution for parallel multiple chaos generation, and shows great potential for multiple channel chaos communications and multiple random bit generations. -
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References
[1] Argyris A, Syvridis D, Larger L, Annovazzi-Lodi V, Colet P et al. Chaos-based communications at high bit rates using commercial fibre-optic links. Nature 438, 343–346 (2005). doi: 10.1038/nature04275 [2] Ke JX, Yi LL, Yang Z, Yang YP, Zhuge QB et al. 32 Gb/s chaotic optical communications by deep-learning-based chaos synchronization. Opt Lett 44, 5776–5779 (2019). doi: 10.1364/OL.44.005776 [3] Fu YD, Cheng MF, Jiang XX, Yu Q, Huang LBJ et al. High-speed optical secure communication with an external noise source and an internal time-delayed feedback loop. Photon Res 7, 1306–1313 (2019). doi: 10.1364/PRJ.7.001306 [4] Deng T, Xia GQ, Wu ZM. Broadband chaos synchronization and communication based on mutually coupled VCSELs subject to a bandwidth-enhanced chaotic signal injection. Nonlinear Dyn 76, 399–407 (2014). doi: 10.1007/s11071-013-1134-y [5] Jiang N, Zhao AK, Xue CP, Tang JM, Qiu K. Physical secure optical communication based on private chaotic spectral phase encryption/decryption. Opt Lett 44, 1536–1539 (2019). doi: 10.1364/OL.44.001536 [6] Li NQ, Susanto H, Cemlyn B, Henning ID, Adams MJ. Secure communication systems based on chaos in optically pumped spin-VCSELs. Opt Lett 42, 3494–3497 (2017). doi: 10.1364/OL.42.003494 [7] Uchida A, Amano K, Inoue M, Hirano K, Naito S et al. Fast physical random bit generation with chaotic semiconductor lasers. Nat Photon 2, 728–732 (2008). doi: 10.1038/nphoton.2008.227 [8] Tang X, Wu ZM, Wu JG, Deng T, Chen JJ et al. Tbits/s physical random bit generation based on mutually coupled semiconductor laser chaotic entropy source. Opt Express 23, 33130–33141 (2015). doi: 10.1364/OE.23.033130 [9] Li XZ, Li SS, Zhuang JP, Chan SC. Random bit generation at tunable rates using a chaotic semiconductor laser under distributed feedback. Opt Lett 40, 3970–3973 (2015). doi: 10.1364/OL.40.003970 [10] Li P, Zhang JG, Sang LX, Liu XL, Guo YQ et al. Real-time online photonic random number generation. Opt Lett 42, 2699–2702 (2017). doi: 10.1364/OL.42.002699 [11] Reidler I, Aviad Y, Rosenbluh M, Kanter I. Ultrahigh-speed random number generation based on a chaotic semiconductor laser. Phys Rev Lett 103, 024102 (2009). doi: 10.1103/PhysRevLett.103.024102 [12] Kanter I, Aviad Y, Reidler I, Cohen E, Rosenbluh M. An optical ultrafast random bit generator. Nat Photon 4, 58–61 (2010). doi: 10.1038/nphoton.2009.235 [13] Zhao AK, Jiang N, Wang YJ, Liu SQ, Li BC et al. Correlated random bit generation based on common-signal-induced synchronization of wideband complex physical entropy sources. Opt Lett 44, 5957–5960 (2019). doi: 10.1364/OL.44.005957 [14] Xiang SY, Ren ZX, Zhang YH, Song ZW, Hao Y. All-optical neuromorphic XOR operation with inhibitory dynamics of a single photonic spiking neuron based on a VCSEL-SA. Opt Lett 45, 1104–1107 (2020). doi: 10.1364/OL.383942 [15] Ke JX, Yi LL, Xia GQ, Hu WS. Chaotic optical communications over 100-km fiber transmission at 30-Gb/s bit rate. Opt Lett 43, 1323–1326 (2018). doi: 10.1364/OL.43.001323 [16] Sciamanna M, Shore KA. Physics and applications of laser diode chaos. Nat Photon 9, 151–162 (2015). doi: 10.1038/nphoton.2014.326 [17] Rontani D, Locquet A, Sciamanna M, Citrin DS, Ortin S. Time-delay identification in a chaotic semiconductor laser with optical feedback: a dynamical point of view. IEEE J Quantum Electron 45, 879–1891 (2009). doi: 10.1109/JQE.2009.2013116 [18] Xiang SY, Pan W, Luo B, Yan LS, Zou XH et al. Wideband unpredictability-enhanced chaotic semiconductor lasers with dual-chaotic optical injections. IEEE J Quantum Electron 48, 1069–1076 (2012). doi: 10.1109/JQE.2012.2202269 [19] Zhang LY, Pan W, Yan LS, Luo B, Zou XH et al. Isochronous cluster synchronization in delay-coupled VCSEL networks subjected to variable-polarization optical injection with time delay signature suppression. Opt Express 27, 33369–33377 (2019). doi: 10.1364/OE.27.033369 [20] Li NQ, Pan W, Locquet A, Citrin DS. Time-delay concealment and complexity enhancement of an external-cavity laser through optical injection. Opt Lett 40, 4416–4419 (2015). doi: 10.1364/OL.40.004416 [21] Sakuraba R, Iwakawa K, Kanno K, Uchida A. Tb/s physical random bit generation with bandwidth-enhanced chaos in three-cascaded semiconductor lasers. Opt Express 23, 1470–1490 (2015). doi: 10.1364/OE.23.001470 [22] Wu JG, Xia GQ, Wu ZM. Suppression of time delay signatures of chaotic output in a semiconductor laser with double optical feedback. Opt Express 17, 20124–20133 (2009). doi: 10.1364/OE.17.020124 [23] Zhong ZQ, Wu ZM, Xia GQ. Experimental investigation on the time-delay signature of chaotic output from a 1550 nm VCSEL subject to FBG feedback. Photon Res 5, 6–10 (2017). doi: 10.1364/PRJ.5.000006 [24] Wang DM, Wang LS, Zhao T, Gao H, Wang YC et al. Time delay signature elimination of chaos in a semiconductor laser by dispersive feedback from a chirped FBG. Opt Express 25, 10911–10924 (2017). doi: 10.1364/OE.25.010911 [25] Jiang N, Wang YJ, Zhao AK, Liu SQ, Zhang YQ et al. Simultaneous bandwidth-enhanced and time delay signature-suppressed chaos generation in semiconductor laser subject to feedback from parallel coupling ring resonators. Opt Express 28, 1999–2009 (2020). doi: 10.1364/OE.385889 [26] Li SS, Li XZ, Chan SC. Chaotic time-delay signature suppression with bandwidth broadening by fiber propagation. Opt Lett 43, 4751–4754 (2018). doi: 10.1364/OL.43.004751 [27] Wang AB, Yang YB, Wang BJ, Zhang BB, Li L et al. Generation of wideband chaos with suppressed time-delay signature by delayed self-interference. Opt Express 21, 8701–8710 (2013). doi: 10.1364/OE.21.008701 [28] Zhou P, Fang Q, Li NQ. Phased-array assisted time-delay signature suppression in the optical chaos generated by an external-cavity semiconductor laser. Opt Lett 45, 399–402 (2020). doi: 10.1364/OL.381782 [29] Xiang SY, Wen AJ, Pan W, Lin L, Zhang HX et al. Suppression of chaos time delay signature in a ring network consisting of three semiconductor lasers coupled with heterogeneous delays. J Lightware Technol 34, 4221–4227 (2016). doi: 10.1109/JLT.2016.2597865 [30] Cheng CH, Chen YC, Lin FY. Chaos time delay signature suppression and bandwidth enhancement by electrical heterodyning. Opt Express 23, 2308–2319 (2015). doi: 10.1364/OE.23.002308 [31] Qiao LJ, Lv TS, Xu Y, Zhang MJ, Zhang JZ et al. Generation of flat wideband chaos based on mutual injection of semiconductor lasers. Opt Lett 44, 5394–5397 (2019). doi: 10.1364/OL.44.005394 [32] Jiang N, Wang C, Xue CP, Li GL, Lin SQ et al. Generation of flat wideband chaos with suppressed time delay signature by using optical time lens. Opt Express 25, 14359–14367 (2017). doi: 10.1364/OE.25.014359 [33] Jiang N, Zhao AK, Liu SQ, Xue CP, Wang BY et al. Generation of broadband chaos with perfect time delay signature suppression by using self-phase-modulated feedback and a microsphere resonator. Opt Lett 43, 5359–5362 (2018). doi: 10.1364/OL.43.005359 [34] Zhao AK, Jiang N, Liu SQ, Xue CP, Tang JM et al. Wideband complex-enhanced chaos generation using a semiconductor laser subject to delay-interfered self-phase-modulated feedback. Opt Express 27, 12336–12348 (2019). doi: 10.1364/OE.27.012336 [35] Zhao AK, Jiang N, Liu SQ, Xue CP, Qiu K. Wideband time delay signature-suppressed chaos generation using self-phase-modulated feedback semiconductor laser cascaded with dispersive component. J Lightwave Technol 37, 5132–5139 (2019). doi: 10.1109/JLT.2019.2929539 [36] Zhao AK, Jiang N, Chang CC, Wang YJ, Liu SQ et al. Generation and synchronization of wideband chaos in semiconductor lasers subject to constant-amplitude self-phase-modulated optical injection. Opt Express 28, 13292–13298 (2020). doi: 10.1364/OE.393276 [37] Zhao ZX, Cheng MF, Luo CK, Deng L, Zhang MM et al. Synchronized random bit sequences generation based on analog-digital hybrid electro-optic chaotic sources. J Lightw Technol 36, 4995–5002 (2018). doi: 10.1109/JLT.2018.2868498 [38] Hong YH, Ji SK. Effect of digital acquisition on the complexity of chaos. Opt Lett 42, 2507–2510 (2017). doi: 10.1364/OL.42.002507 [39] Cheng MF, Luo CK, Jiang XX, Deng L, Zhang MM et al. An electrooptic chaotic system based on a hybrid feedback loop. J Lightwave Technol 36, 4259–4266 (2018). doi: 10.1109/JLT.2018.2814080 [40] Liu B, Yu Y, Chen Z, Han WQ. True random coded photon counting Lidar. Opto-Electron Adv 3, 190044 (2020). doi: 10.29026/oea.2020.190044 -
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Zhao AK, Jiang N, Peng JF, Liu SQ, Zhang YQ et al. Parallel generation of low-correlation wideband complex chaotic signals using CW laser and external-cavity laser with self-phase-modulated injection. Opto-Electron Adv 5, 200026 (2022). doi: 10.29026/oea.2022.200026
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Figure 1.
Experimental schematic diagram of the parallel wideband complex chaos generation. DFB, distributed-feedback laser; PM, electro-optic phase modulator; FC, fiber coupler; CWL, continuous-wave laser; PD, photodetector; M, mirror; VOA, variable optical attenuator; OC, optical circulator; Amp, radio-frequency amplifier; DM, dispersion module.
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Figure 2.
(a–c) Experimental time series and (d–f) power spectra of the chaotic signal obtained by the COF-ECSL (first column); those of the chaotic signals obtained from the output-A (second column), and the output-B of the proposed scheme (third column). The feedback strength is fixed to –30 dB.
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Figure 3.
Effective bandwidths of the chaotic signals outputted by COF-ECSL (square), output-A (circle) and output-B (downward-triangle), as a function of feedback strength.
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Figure 4.
(a–c) ACF traces and (d-f) DMI traces of the chaos generated by COF-ECSL (first column), output-A (second column) and output-B (third column). The feedback strength is fixed to –30 dB.
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Figure 5.
|TDS values in (a) ACF traces and (b) DMI traces of the chaos generated by COF-ECSL (square), output-A (circle) and output-B (downward-triangle), as a function of feedback strength.
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Figure 6.
PE values of the chaos obtained by the COF-ECSL (square), the output-A (circle) and the output-B (downward-triangle), as a function of the feedback strength.
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Figure 7.
Correlation coefficient between chaotic signals obtained from output-A and output-B, as a function of feedback strength. The insets are the temporal waveforms of the two chaotic outputs (with a range of 1 ns) measured at the feedback strengths of –30 dB, –20 dB and –10 dB, respectively.
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Figure 8.
Experimental time series (left column) and amplitude probability distributions (right column) of (a) the chaos generated by the COF-ECSL, as well as (b) the chaotic output-A and (c) the chaotic output-B of the proposed scheme.
