Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2020. No. 11
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DOI  https://doi.org/10.30898/1684-1719.2020.11.11

UDC 537.86

 

 Derivation of expressions of faraday vectors excited by given sources in spherical coordinates from field expansion by te- and tm-waves

 

Е. I. Lavretski

AO NII of Precise Constructions, Dekabristov str., 51, Moscow 127490, Russia

 

The paper is received on October 12, 2020 

 

Abstract. Formulas for electric and magnetic field strengths as sums of TE- and TM-modes in spherical coordinates excited by given volume electric and magnetic currents were derived. On the basis of them we obtained analytical formulas for field strengths in spiral basis excited by sources of circular polarization. From the known field strengths we derived and investigated formulas for Faraday vectors in spiral basis for waves of right and left circular polarizations. Pointing vector flows were calculated for waves of both circular polarizations. Obtained presentations for Faraday vectors and known results of other explorers are discussed.

Key words: electromagnetic fields, electromagnetic radiation, Debye potentials, spherical harmonics, spherical wave expansion, Faraday vectors.

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For citation:

Lavretski E.I. Derivation of expressions of Faraday vectors excited by given sources in spherical coordinates from field expansion by TE- and TM-waves. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2020. No.11. https://doi.org/10.30898/1684-1719.2020.11.11  (In Russian)