基于光纤的光学傅里叶变换实现方法及应用 
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Application and Implementation of Optical Fourier Transform Based on Optical Fiber
北京交通大学光波技术研究所全光网络与现代通信网教育部重点实验室, 北京 100044
图 & 表
图 1. 光学傅里叶变换方案类型
Fig. 1. Classification of optical Fourier transform schemes
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图 2. 基于色散展宽的傅里叶变换过程
Fig. 2. Fourier transform process based on dispersive pulse broadening
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图 3. 色散量和分辨频率关系图
Fig. 3. Relationship between dispersion amount and spectral resolution frequency
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图 4. 基于时间透镜的傅里叶变换结构图
Fig. 4. Structural diagram of Fourier transform based on time lens
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图 5. 输出色散时间透镜系统结构图
Fig. 5. Structural diagram of output dispersive time lens system
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图 6. 输入色散时间透镜系统结构图
Fig. 6. Structural diagram of input dispersive time lens system
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图 7. 双时间透镜(频域-时域)系统
Fig. 7. Dual time lens (frequency domain-time domain) system
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表 1基于色散展宽和时间透镜的傅里叶变换对比
Table1. Comparison of Fourier transform based on dispersive broadening and time lens
| Plan ofimplemen-tation | DispersionFourier transform | Time lens |
|---|
| Principle | Dispersioninducedtime domainbroadening | Time-frequencyconversion bytime lens | | Dispersionrequirement | Large groupvelocity dispersion,Longer fiber | Suitable groupvelocity dispersion,broadening pulse smallerthan time aperture | | Limitingfactor | Input pulse width,period, high-orderdispersion | Input pulsewidth, period,time aperture | | Resolution | (R|D|l)-1 | 2.77 /(Γωm) | | Lightsource | Widebandcoherent | Narrowbandwidth |
|
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表 2基于电光相位调制器的时间透镜傅里叶变换系统比较
Table2. Summary analysis of time lens Fourier transform system based on electro-optical phase modulator
| Type of system | Transform domain | Condition | Time aperture | System output | System performance analysis |
|---|
| Dual dispersivelens system | Frequency-time | l1β2=l2β2l1β2=-fτ/ω0 | τa≈1/ωm | CF | System output beinglinear amplification ofinput time domain | | Output dispersivelens system | Frequency-time | l2β2=-tfτ/ω0 | τa≈1/ωm | KexpF(ω) | Output being product ofinput frequency domainand phase factor | | Input dispersivelens system | Time-frequency | l1β2=-fτ/ω0 | τa≈1/ωm | Ain(t)exp | Frequency domain of outputbeing product of input timedomain and phase factor |
|
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孔梦龙, 谭中伟, 张琳. 基于光纤的光学傅里叶变换实现方法及应用[J]. 激光与光电子学进展, 2019, 56(11): 110701. Menglong Kong, Zhongwei Tan, Lin Zhang. Application and Implementation of Optical Fourier Transform Based on Optical Fiber[J]. Laser & Optoelectronics Progress, 2019, 56(11): 110701.
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