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A Theoretical Study of the Scattering of Electromagnetic Impulses by Finite Obstacles

Brown, W. P., Jr. (1962) A Theoretical Study of the Scattering of Electromagnetic Impulses by Finite Obstacles. Caltech Antenna Laboratory Technical Report, 28. California Institute of Technology , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20200228-165640794

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Abstract

A general approach to the solution of pulse scattering by finite obstacles is formulated. The essential feature of this approach is the identification and separate treatment of the individual terms in a wavefront expansion of the transforms of the field vectors. It is demonstrated that the dispersive effect of a finite conductivity in the scattering obstacle can be neglected for all metals but that it may be significant for poorly conducting materials such as dry earth. The wavefront technique is employed to solve the problems of the transmission of a delta pulse through a conducting dielectric slab and the reflection and diffraction of a delta pulse from a perfectly conducting sphere. The transmission problem results provide a convenient example of the usefulness of the wavefront approach. The results for the sphere problem indicate that the nature of the waves observed at a given spatial point change in time. It is shown that the penumbra and the caustic region in the vicinity of the focal line θ = π are initially of zero extent. The rates of expansion of these regions with increasing time are obtained by a consideration of the error terms in the asymptotic expansions of the fields. The temporal behavior of the near and far field zones is obtained in a similar manner.


Item Type:Report or Paper (Technical Report)
Additional Information:Research supported by the U. S. Air Force Office of Scientific Research.
Group:Caltech Antenna Laboratory
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Series Name:Caltech Antenna Laboratory Technical Report
Issue or Number:28
DOI:10.7907/5KDM-AR96
Record Number:CaltechAUTHORS:20200228-165640794
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200228-165640794
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:101645
Collection:CaltechAUTHORS
Deposited By: Melissa Ray
Deposited On:02 Mar 2020 17:34
Last Modified:07 Mar 2020 00:55

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