Abstract

The Fresnel transform of a signal, when used as a preprocessing step to a subsequent spectrum analysis, helps to detect the time delay between short-pulse signals. Light from the short pulses disperses spatially as it propagates through free space to create an interference pattern. As the pulses move through an acousto-optic cell, a point photodetector produces a signal whose temporal frequency is directly proportional to the time delay between the pulses. When this signal is fed to a spectrum analyzer, the frequency domain represents a time-delay domain.

© 1993 Optical Society of America

Detection of short pulses by Fresnel preprocessing

Michael J. Wardlaw and A. VanderLugt
Appl. Opt. 33(2) 270-279 (1994)

Fresnel transforms and Bragg cell processors

A. VanderLugt
Appl. Opt. 24(22) 3846-3859 (1985)

Acousto-optic tapped delay-line filter

Robert J. Berinato
Appl. Opt. 32(29) 5797-5809 (1993)

Short-time Fourier transform and wavelet transform with Fourier-domain processing

F. T. S. Yu and Guowen Lu
Appl. Opt. 33(23) 5262-5270 (1994)

Temporal frequencies of short and evolving pulses in interferometric spectrum analyzers

P. H. Wisseman and A. VanderLugt
Appl. Opt. 28(18) 3800-3809 (1989)