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Approximate Step‐Function Response of a Vertically Polarized Electromagnetic Plane Wave Reflected at an Imperfectly Conducting Surface

 

作者: Richard L. Monroe,  

 

期刊: Journal of Applied Physics  (AIP Available online 1969)
卷期: Volume 40, issue 9  

页码: 3526-3531

 

ISSN:0021-8979

 

年代: 1969

 

DOI:10.1063/1.1658231

 

出版商: AIP

 

数据来源: AIP

 

摘要:

A three‐term expression consisting of a constant plus two exponentials is given for the reflected field of a vertically polarized (Efield in the plane of incidence) plane wave in free space with a step‐function time variation incident obliquely on a plane imperfectly conducting surface. Curves computed with this expression are shown to be in good agreement with corresponding curves obtained numerically for a time range 0≤t≤10tr, wheretr, the relaxation time, is the ratio of permittivity to conductivity in the reflecting medium. Although the exponential time variation is limited to early times, it is shown that the three‐term approximation can be extended to times greater than 10trat the expense of introducing modified Bessel functions of zeroth order. The first approximation to the step‐function response is used to investigate the transient reflected field of a rectangular pulse: Explicit expressions are obtained for the reflected field, the energy of the reflected field, and the ratio of reflected to incident energy. The latter indicates that the ratio of reflected to incident energy for incident pulses less thantrin length is approximately equal to &agr;02, where &agr;0is the Fresnel reflection coefficient for a perfect dielectric.

 

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