Title :
A new approach to the evaluation of the dyadic Green´s function in spherical layered media
Author :
Okhmatovski, I. Vladimir ; Cangellaris, Andreas C.
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
Abstract :
An efficient methodology has been presented and validated for the development of closed-form Green´s functions for electromagnetic dipoles in spherical layered media. The closed-form expressions are in terms of a finite sum of Legendre functions. The proposed methodology is applicable to both bounded and unbounded spherical geometries. The method is also suitable for the calculation of electromagnetic Green´s functions in spherical media with arbitrary variation in their electromagnetic properties in the radial direction.
Keywords :
Green´s function methods; antenna theory; boundary-value problems; dipole antennas; inhomogeneous media; Legendre functions; bounded spherical geometries; closed-form Green´s functions; closed-form expressions; electromagnetic Green´s functions; electromagnetic dipoles; electromagnetic properties; spherical layered media; unbounded spherical geometries; Boundary conditions; Boundary value problems; Differential equations; Eigenvalues and eigenfunctions; Finite difference methods; Green´s function methods; Nonhomogeneous media; Permeability; Permittivity; Vectors;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2002. IEEE
Print_ISBN :
0-7803-7330-8
DOI :
10.1109/APS.2002.1016767
