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Spectral analysis of time-limited pulsed Gaussian wave fields

We compare the depletion of the spectral components of pulsed wave fields as they propagate away from their sources. The spectral performance of a narrow localized Gaussian pulse launched from a dynamic aperture is compared with that of the traditional Gaussian-waisted, quasi-monochromatic, and broadband signals generated by flat apertures. The effect of using a derivative receiver to slow down the decay rate of the measured localized wave fields is expounded upon by using the same spectral analysis.