Abstract

The output of an acoustooptic spectrum analyzer contains both spatial and temporal frequencies. In a previous paper, VanderLugt predicted a difference in the temporal frequency as a function of spatial frequency for a cw signal, a pulse evolving into the acoustooptic cell, and an isolated pulse moving through the cell. We provide a more complete analysis for each of the three input signals. An analysis is made of the effects of sidelobe movement in the evolving pulse signal. This analysis, combined with a mixed transform analysis, leads to an accurate prediction of the temporal frequency behavior and to new interpretations of the results presented in the original paper. In particular, our analysis accurately predicts the temporal frequencies associated with the evolving pulse. Experimental results validate the methematical analysis for all three signal types.

© 1989 Optical Society of America

Interferometric spectrum analyzer

A. Vander Lugt
Appl. Opt. 20(16) 2770-2779 (1981)

Acoustooptic spectrum analyzer: detection of pulsed signals

Jim P. Y. Lee and J. S. Wight
Appl. Opt. 25(2) 193-198 (1986)

Time-delay detection of short pulses by Fresnel and Fourier transformations

A. VanderLugt, C. S. Anderson, and P. J. W. Melsa
Appl. Opt. 32(20) 3761-3771 (1993)

Interferometric scanning acoustooptic spectrum analyzer

Laszlo Jakab and Peter Richter
Appl. Opt. 30(10) 1206-1209 (1991)

Spatial and temporal spectra of periodic functions for spectrum analysis

A. VanderLugt and A. M. Bardos
Appl. Opt. 23(23) 4269-4279 (1984)