25 July 1989 Acoustic And Electromagnetic Bullets
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Abstract
We show that all finite energy, causal solutions of the time-dependent three-dimensional acoustic equation and Maxwell's equations have forms for large radius which, except for a factor 1/r represent one-dimensional wave motions along straight lines through the origin. The asymptotic region is called the wave zone.We also show, conversely, how the exact finite energy causal solutions can be obtained from the asymptotic solutions in the wave zone through the use of a refined Radon transform. We have thus obtained a way of finding exact, causal three-dimensional solutions from the essentially one-dimensional solutions in the wave zone. When the asymptotic solutions are confined to a finite radial interval within a cone, the exact solutions are termed "bullets" and asymptotically represent packets of acoustic and electromagnetic energy "shot" through the cone. No reflectors are needed. Explicit examples will be given.
© (1989) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Harry E. Moses, Reese T. Prosser, "Acoustic And Electromagnetic Bullets", Proc. SPIE 1061, Microwave and Particle Beam Sources and Directed Energy Concepts, (25 July 1989); doi: 10.1117/12.951821; https://doi.org/10.1117/12.951821
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