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Temporal frequencies of short and evolving pulses in interferometric spectrum analyzers
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.
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