Highly focused electromagnetic wavelets

Gerald Kaiser

doi:10.1117/12.351218

1 July 1999 Highly focused electromagnetic wavelets

Gerald Kaiser

Proceedings Volume 3702, Intense Microwave Pulses VI; (1999) https://doi.org/10.1117/12.351218
Event: AeroSense '99, 1999, Orlando, FL, United States

Abstract

Physical Wavelets are exact, caused pulsed-beam solutions of the inhomogeneous wave- or Maxwell equations whose `wavelet parameters' specify the point of emission, launch time, radius of the emitting aperture, direction of propagation, duration and width of the pulse. We describe their time- domain radiation patterns, which show that the beams can be made arbitrarily well focused by choosing the wavelet parameters accordingly. We also find the source distribution as a generalized function supported on the disk aperture determined by the wavelet parameters. As the radius of the disk shrinks to zero, the distribution reduces to the usual point source represented by the retarded Green function. It is suggested that such `physical wavelets' may be synthesized in practice by realizing their source distributions.

Citation Download Citation

Gerald Kaiser "Highly focused electromagnetic wavelets", Proc. SPIE 3702, Intense Microwave Pulses VI, (1 July 1999); https://doi.org/10.1117/12.351218

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