Highly focused pulsed-beam wavelets

Gerald Kaiser

doi:10.1117/12.364063

29 September 1999 Highly focused pulsed-beam wavelets

Gerald Kaiser

Proceedings Volume 3810, Radar Processing, Technology, and Applications IV; (1999) https://doi.org/10.1117/12.364063
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

Pulsed-Beam Wavelets are exact, causal solutions of the inhomogeneous wave equation or Maxwell's equations whose `wavelet parameters' specify physically relevant attributes of the associated pulsed beams. Their point of emission and launch time, as well as the pulse width, collimation, direction of propagation, and duration. Their time-domain radiation patterns have no sidelobes and can be made arbitrarily well-focused. We compute the source distribution necessary to synthesize such beams. It is a generalized function supported on the disk aperture, consisting of a circular line source concentrated on the rim plus a single and double layer distributed over the disk interior. We speculate that such pulsed beams may be generated physically by realizing their source distributions. If so, they could have important applications in radar, sonar, and secure communications.

Citation Download Citation

Gerald Kaiser "Highly focused pulsed-beam wavelets", Proc. SPIE 3810, Radar Processing, Technology, and Applications IV, (29 September 1999); https://doi.org/10.1117/12.364063

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