Application and Implementation of Optical Fourier Transform Based on Optical Fiber

Menglong Kong; Zhongwei Tan; Lin Zhang

doi:10.3788/LOP56.110701

Journals >Laser & Optoelectronics Progress >Volume 56 >Issue 11 >Page 110701 > Article

Laser & Optoelectronics Progress
Vol. 56, Issue 11, 110701 (2019)

Application and Implementation of Optical Fourier Transform Based on Optical Fiber

Menglong Kong, Zhongwei Tan^*, and Lin Zhang

Author Affiliations

Key Laboratory of All Optical Network and Advanced Telecommunication Network, Ministry of Education, Institute of Lightwave Technology, Beijing Jiaotong University, Beijing 100044, China

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DOI: 10.3788/LOP56.110701 Cite this Article Set citation alerts

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 Copy Citation Text

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Fig. 1. Classification of optical Fourier transform schemes

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Fig. 2. Fourier transform process based on dispersive pulse broadening

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Fig. 3. Relationship between dispersion amount and spectral resolution frequency

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Fig. 4. Structural diagram of Fourier transform based on time lens

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Fig. 5. Structural diagram of output dispersive time lens system

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Fig. 6. Structural diagram of input dispersive time lens system

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Fig. 7. Dual time lens (frequency domain-time domain) system

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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 /(Γω_m)
Lightsource	Widebandcoherent	Narrowbandwidth

Table 1. Comparison of Fourier transform based on dispersive broadening and time lens

Type of system	Transform domain	Condition	Time aperture	System output	System performance analysis
Dual dispersivelens system	Frequency-time	l₁β₂=l₂β₂l₁β₂=-f_τ/ω₀	τ_a≈1/ω_m	CF $\begin{matrix} (- \frac{t}{β_{2} l}) \end{matrix}$	System output beinglinear amplification ofinput time domain
Output dispersivelens system	Frequency-time	l₂β₂=-tf_τ/ω₀	τ_a≈1/ω_m	Kexp $\begin{matrix} (- j \frac{t^{2}}{2 β_{2} l}) \end{matrix}$ F(ω)	Output being product ofinput frequency domainand phase factor
Input dispersivelens system	Time-frequency	l₁β₂=-f_τ/ω₀	τ_a≈1/ω_m	A_in(t)exp $\begin{matrix} (- j \frac{ω_{0} t^{2}}{2 f_{τ}}) \end{matrix}$	Frequency domain of outputbeing product of input timedomain and phase factor

Table 2. Summary analysis of time lens Fourier transform system based on electro-optical phase modulator

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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