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Cylindrical vector wave function representation of Green's dyadics for uniaxial bianisotropic media
Author(s) -
Li LeWei,
Lim NamHoe,
Leong MookSeng,
Yeo TatSoon,
Kong Jin Au
Publication year - 2001
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 - 10.1029/2000rs002557
Subject(s) - solenoidal vector field , curl (programming language) , conservative vector field , eigenfunction , mathematical analysis , vector potential , mathematics , vector valued function , vector field , wave vector , physics , geometry , optics , quantum mechanics , magnetic field , mechanics , eigenvalues and eigenvectors , computer science , compressibility , programming language
This paper presents a novel and rigorous eigenfunction expansion of electric‐type dyadic Green's function for an unbounded uniaxial bianisotropic medium in terms of the cylindrical vector wave functions. The Green's dyadic is obtained on the basis of the well‐known Ohm‐Rayleigh method together with some newly developed vector and tensor identities formed by the differential, curl, and dot product of the constitutive dyadics and the cylindrical vector wave functions. The above identities greatly simplify the process of finding the vector expansion coefficients of the dyadic Green's function of the uniaxial bianisotropic media. The dyadic Green's function derived is expressed in terms of the contribution from the irrotational solenoidal types of vector wave functions, with the λ integrals removed using the residue theorem.