Pulsed Radiation From A Parabolic Reflector

John M Myers

doi:10.1117/12.965114

9 May 1988 Pulsed Radiation From A Parabolic Reflector

John M Myers

Proceedings Volume 0873, Microwave and Particle Beam Sources and Propagation; (1988) https://doi.org/10.1117/12.965114
Event: 1988 Los Angeles Symposium: O-E/LASE '88, 1988, Los Angeles, CA, United States

Abstract

We consider a transient point dipole current turned on at time zero, with the time-derivative being discontinuous at zero. This point current source generates an electromagnetic field incident on a perfectly conducting smooth surface having a boundary. Surface current is induced in the conductor, producing a scattered field. The objective is to analyze the leading edge of the scattered field. Cases are shown in which the edge singularity is strong enough to generate an electromagnetic missile. This report includes a rigorous formulation of the problem in terms of Maxwell's equations and a review of the incident and scattered wave fronts associated with these equations. These fronts are used to extract information about the leading edge of the scattered field. A "tangent-plane" approximation is studied and applied to a case of a bounded paraboloidal reflector illuminated by a transient point dipole. This results in a missile with a radiated energy den-sity that drops off as slowly as the inverse logarithm of the distance. Steps toward the establishment of bounds on the error of the approximation are described.

Citation Download Citation

John M Myers "Pulsed Radiation From A Parabolic Reflector", Proc. SPIE 0873, Microwave and Particle Beam Sources and Propagation, (9 May 1988); https://doi.org/10.1117/12.965114

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