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Mutual admittance between circular apertures on a large conducting sphere
Author(s) -
Hessel A.,
Liu Y.L.,
Shmoys J.
Publication year - 1979
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs014i001p00035
Subject(s) - admittance , physics , harmonics , aperture (computer memory) , coupling (piping) , optics , mathematical analysis , multipole expansion , geometry , mathematics , attenuation , quantum mechanics , electrical impedance , acoustics , mechanical engineering , voltage , engineering
Explicit expressions for the self admittance and the mutual admittance Y ij between two arbitrarily polarized circular apertures are presented. The aperture field distribution is that of TE 11 circular waveguide mode. The analysis makes use of a spherical mode expansion and of the addition theorem for tesseral harmonics. Numerical results show Y ij as a function of angular separation θ. The E ‐plane coupling exhibits asymptotic (large θ) behavior consistent with the lowest “hard” surface ray order results. The slope of the H ‐plane coupling for large values of θ does not correspond to the lowest‐order “soft” surface ray attenuation, but rather to that of the lowest‐order “hard” ray. This behavior is explained.