Author Affiliations
1Key Laboratory of Advanced Transducers and Intelligent Control System, Ministry of Education, Taiyuan 030024, China2College of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan 030024, China3School of Information Engineering, Guangdong University of Technology, Guangzhou 510006, China4Guangdong Provincial Key Laboratory of Photonics Information Technology, Guangzhou 510006, China5Center for Information Photonics & Communications, School of Information Science and Technology, Southwest Jiaotong University, Chengdu 610031, Chinashow less
Fig. 1. (a) Fiber-loop experiment for investigating fidelity transmission of laser chaos; (b) setup of long-reach chaos synchronization. SL: semiconductor laser; DL: drive laser; RLA,B: response lasers; OI: optical isolator; EDFA: erbium-doped fiber amplifier; OF: optical filter; VOA: variable optical attenuator; FM: fiber mirror; PC: polarization controller; EOM: electro-optic modulator; AWG: arbitrary waveform generator; OC: optical coupler; SSMF: standard single-mode fiber; DCF: dispersion compensation fiber; WDM: wavelength division multiplexer; PD: photodetector.
Fig. 2. Single-span fiber transmission. (a) Experimental and (b) simulated fidelities as a function of optical power launched into the fiber for a fixed loop length Lloop=120 km. EDFA gain GE=34.7 dB.
Fig. 3. Single-span fiber transmission. (a) Experimental and (b) simulated maximum fidelities and optimum launching power as a function of fiber loop length.
Fig. 4. Multispan fiber transmission with the EDFA relay. (a) Experimental and (b) simulated maximum fidelities as a function of relay number for different fiber loop lengths Lloop=90 km, 100 km, and 120 km.
Fig. 5. Single-span fiber transmission. (a) Experimental and (b) simulated fidelity as a function of optical power launched into the fiber at different gain ratios of the DFRA and the EDFA for a fixed fiber loop length Lloop=120 km. Total gain GD+GE=34.7 dB.
Fig. 6. Single-span fiber transmission. (a) Experimental and (b) simulated maximum fidelity, optimum launching power, and gain ratio as a function of the fiber loop length.
Fig. 7. Multispan fiber transmission with the EDFA and the DFRA relay. (a) Experimental and (b) simulated maximum fidelities as a function of relay number for different fiber loop lengths Lloop=120 km, 130 km, and 150 km.
Fig. 8. Experimental results of a 1040-km chaos transmission over a straight fiber link using hybrid amplification. (a) Optical spectra; (b) radio-frequency spectra; (c) temporal waveforms; (d) scatter plot. Pin=Pout=5.4 mW, the DFRA gain GD=7.0 dB, and the EDFA gain GE=30.0 dB.
Fig. 9. Experimental results of 1040-km chaos synchronization. (a) Optical spectra; (b) radio-frequency spectra; (c) temporal waveforms; (d) scatter plot. The injection strengths of RLA and RLB are 78% and 57%, respectively.
Fig. 10. 1040-km chaos synchronization coefficient as a function of (a) time and (b) chaos bandwidth after low-pass filtering (LPF).
Parameter | Symbol | Value |
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Transparency carrier density | | | Linewidth enhancement factor | | 3.0 | Gain saturation coefficient | | | Linear gain coefficient | | | Spontaneous emission rate | | 0.001 | Length of the active region | | 300 μm | Width of the active region | | 2.5 μm | Grating period | | | Threshold current | | 20 mA | Bias current | | | Static-state wavelength | | 1549.45 nm | Feedback strength | | 1.5% |
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Table 1. Simulation Parameters of the Semiconductor Laser
Parameter | Symbol | Value |
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Attenuation coefficient of the SSMF | | 0.2 dB/km | Attenuation coefficient of the DCF | | 0.5 dB/km | Dispersion coefficient of the SSMF | | | Dispersion coefficient of the DCF | | | Raman response coefficient | | 0.17 | Fiber core area | | | SPM coefficient | | 8/9 | Nonlinear refractive index | | | Filtering width of the OF | | 0.2 nm | Noise figure of the EDFA | | 4 dB | Noise figure of the DFRA | | |
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Table 2. Simulation Parameters of the Fiber, the Filter, and the Amplifier
Number | Length (km) | Dispersion (ps/nm) | Attenuation (dB) |
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First span | 130.005 | 1.084 | 30.40 | Second span | 130.038 | 1.278 | 30.10 | Third span | 129.850 | 1.054 | 29.72 | Fourth span | 130.048 | −0.996 | 30.80 | Fifth span | 130.015 | 2.867 | 29.80 | Sixth span | 129.960 | −3.051 | 30.83 | Seventh span | 129.974 | −2.541 | 29.61 | Eighth span | 130.059 | 1.414 | 30.62 |
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Table 3. Parameters of Eight-Span Fibers