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A high‐frequency based asymptotic solution for surface fields on a source‐excited sphere with an impedance boundary condition
Author(s) -
Alisan B.,
Ertürk V. B.
Publication year - 2010
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 - 10.1029/2010rs004367
Subject(s) - geodesic , conformal map , radius , surface (topology) , boundary value problem , wavelength , aperture (computer memory) , mathematical analysis , boundary (topology) , diffraction , physics , excited state , electrical impedance , optics , mathematics , geometry , acoustics , quantum mechanics , computer security , computer science
A high‐frequency asymptotic solution based on the Uniform Geometrical Theory of Diffraction (UTD) is proposed for the surface fields excited by a magnetic source located on the surface of a sphere with an impedance boundary condition. The assumed large parameters, compared to the wavelength, are the radius of the sphere and the distance between the source and observation points along the geodesic path, when both these points are located on the surface of the sphere. Different from the UTD‐based solution for a perfect electrically conducting sphere, some higher‐order terms and derivatives of Fock type integrals are included as they may become important for certain surface impedance values as well as for certain separations between the source and observation points. This work is especially useful in the analysis of mutual coupling between conformal slot/aperture antennas on a thin material coated or partially coated sphere.