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Telecommunications and Radio Engineering
SJR: 0.202 SNIP: 0.2 CiteScore™: 0.23

ISSN Print: 0040-2508
ISSN Online: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v51.i1.60
pages 52-63

Effective Impedance of a Statistically Rough Sphere: I. General Case

A. S. Bryukhovetsky
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine
Leonid Aleksandrovich Pazynin
Institute of Radio Physics and Electronics of the National Academy of Sciences of Ukraine, 12, Academician Proskura St., Kharkov 61085, Ukraine

ABSTRACT

Using Bourret's approximation, the mean electromagnetic field scattered by a statistically rough sphere with a small surface impedance η0 is analyzed. Reflection coefficients of the mean field are calculated, which are expressed in terms of effective impedances for spherical multipole waves. In contrast to the previous research of the authors, not only the disturbances proportional to the variance σ2 of irregularity heights, but also those proportional to η0σ2 are taken into account, which proves necessary when η0 is not very small.