Application and Implementation of Optical Fourier Transform Based on Optical Fiber

Menglong Kong; Zhongwei Tan; Lin Zhang

doi:10.3788/LOP56.110701

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

Application and Implementation of Optical Fourier Transform Based on Optical Fiber

Menglong Kong, Zhongwei Tan^*, and Lin Zhang

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

show less

Abstract Get PDF(in Chinese)

Figures & Tables(9)

Fig. 1. Classification of optical Fourier transform schemes

Download full size

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

Download full size

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

Download full size

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

Download full size

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

Download full size

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

Download full size

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

Download full size

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

View table

Table 1. 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 /(Γω_m)
Lightsource	Widebandcoherent	Narrowbandwidth

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

View table

Table 2. 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=-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

Tools

Get Citation

Copy Citation Text

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

Download Citation

EndNote(RIS)BibTex Plain Text

Set citation alerts for article

Save article for my favorites

Paper Information

Category: Fourier Optics and Signal Processing

Received: Oct. 25, 2018

Accepted: Dec. 25, 2018

Published Online: Jun. 13, 2019

The Author Email: Zhongwei Tan (zhwtan@bjtu.edu.cn)

DOI:10.3788/LOP56.110701

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology