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Nanolaser (NL), as an important optical source device, has a significant influence on photonic integrated circuits and has become a research hotspot in recent years. In this work, the synchronization performance of a dual-channel laser chaotic multiplexing system is investigated based on NLs and an active-passive decomposition is used to enhance signal processing and multiplexing efficiency. By establishing a rate equation model, the synchronization characteristics of the system are analyzed, with a focus on two key parameters— Purcell factor (F) and spontaneous emission coupling factor (β)—as well as the effects of system parameters, single-parameter mismatch, and multi-parameter mismatch. Numerical simulations show that with appropriate parameter configurations, the two master NLs can maintain low correlation, ensuring the "pseudo-orthogonalily" of chaotic signals while achieving high-quality chaotic synchronization with their paired slave NLs. In this work it is found that both the Purcell factor (F) and the spontaneous emission coupling factor (β) significantly affect the synchronization performance of the system, and the optimal parameter ranges for achieving high-quality synchronization are identified. Additionally, the effects of feedback strength and frequency detuning are explored, revealing that frequency detuning plays a more critical role in the synchronization between the master NLs. The influence of parameter mismatches on system synchronization performance is also emphasized. The system exhibits robustness against single-parameter mismatch and has minimum influence on master-slave synchronization quality. However, multi-parameter mismatch gives rise to more complex effects. Compared with the traditional semiconductor laser systems, this system can maintain "pseudo-orthogonality" over a wider range of parameters, thus achieving higher security and lower channel interference. This research lays a theoretical foundation for chaos synchronization based on NLs and provides new insights for designing secure, stable, and efficient optical communication systems.
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Keywords:
- nanolaser /
- chaotic synchronization /
- master-slave decomposition method /
- chaotic multiplexing
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图 1 基于纳米激光器的双路激光混沌复用系统结构图
Figure 1. Structure diagram of the dual-laser chaotic multiplexing system based on nanolasers.
图 2 M1/S1和M2/S2的混沌时间序列 (a) M1; (b) M2; (c) S1; (d) S2
Figure 2. The time series of M1/S1 and M2/S2:(a) M1; (b) M2; (c) S1; (d) S2.
图 3 (a) M1/S1和(b) M2/S2的互相关函数图
Figure 3. Cross-correlation function plots of (a) M1/S1 and (b) M2/S2.
图 4 M1/M2的同步图
Figure 4. Synchronization diagram of M1/M2.
图 5 $F$和$\beta $不同时, NLs之间的CCF图 (a) M1/M2; (b) M1/S1; (c) M2/S2
Figure 5. CCF plots between NLs under different values of $F$ and $\beta $: (a) M1/M2; (b) M1/S1; (c) M2/S2.
图 6 不同$I$值对M1/M2, M1/S1和M2/S2同步影响图 (a) M1/M2; (b) M1/S1; (c) M2/S2
Figure 6. Effect of different I values on the synchronization of M1/M2, M1/S1, and M2/S2: (a) M1/M2; (b) M1/S1; (c) M2/S2.
图 7 反馈强度和频率失谐对(a) M1/M2, (b) M1/S1和(c) M2/S2同步性影响的二维彩图
Figure 7. The two-dimensional colormap of feedback intensity and frequency detuning on the synchronization of (a) M1/M2, (b) M1/S1, and (c) M2/S2.
图 8 单个参数失配对(a) M1/M2, (b) M1/S1和(c) M2/S2同步影响图
Figure 8. Effect of single parameter mismatch on the synchronization of (a) M1/M2, (b) M1/S1, and (c) M2/S2.
图 9 参数失配对(a) M1/M2, (b) M1/S1和(c) M2/S2同步影响的二维图
Figure 9. The two-dimensional colormap of the effects of parameter mismatch on the synchronization of (a) M1/M2, (b) M1/S1, and (c) M2/S2.
参数 符号 参考值 约束因子 $\varGamma $ 0.645 载流子寿命/ns ${\tau _{\text{n}}}$ 1 光子寿命/ps ${\tau _{\text{p}}}$ 0.36 反馈延迟/ns ${\tau _{\text{d}}}$ 0.2 差分增益/(cm3·s–1) ${g_n}$ 1.64 × 10–6 透明载流子密度/cm–3 ${N_0}$ 1.1 × 10–18 增益饱和因子/cm3 $\varepsilon $ 2.3 × 10–17 线宽增强因子 $\alpha $ 5 活性区体积/cm3 ${V_{\text{α }}}$ 3.96 × 10–13 纳米激光器的波长/nm ${\lambda _0}$ 1591 激光面反射率 $R$ 0.85 注入比 ${R_{{\text{inj}}}}$ 0—0.1 外镜的功率反射率 ${R_{{\text{ext}}}}$ 0.95 折射率 $n$ 3.4 空腔长度/μm $L$ 1.39 反馈耦合分数 $f$ 0—0.9 
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