Title :
Variational formulation of electromagnetic boundary-value problems involving anisotropic media
Author :
Jianming Jin ; Weng Cho Chew
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
Abstract :
Presents a variational formulation with specific functionals for general electromagnetic problems involving anisotropic media. Such a formulation provides a foundation for the development of the finite element method for the analysis of such problems. Note that for the sake of clarity and ease of comprehension, we state specific functionals, rather than constructing them from the original boundary-value problems. We present specific functionals and discuss the property of the associated numerical system for the following three cases: (1) lossy problems involving anisotropic media having symmetric permittivity and permeability; (2) lossless problems involving anisotropic media having Hermitian permittivity and permeability; and (3) general problems involving general anisotropic media.
Keywords :
boundary-value problems; electromagnetic wave propagation; electromagnetic wave scattering; electromagnetism; functional analysis; functional equations; permeability; permittivity; variational techniques; Hermitian permeability; Hermitian permittivity; anisotropic media; electromagnetic boundary-value problems; finite element method; functionals; lossless problems; lossy problems; symmetric permeability; symmetric permittivity; variational formulation; Anisotropic magnetoresistance; Boundary conditions; Differential equations; Electromagnetic analysis; Electromagnetic fields; Finite element methods; Microwave devices; Optical devices; Power engineering computing; Radar scattering;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1994. AP-S. Digest
Conference_Location :
Seattle, WA, USA
Print_ISBN :
0-7803-2009-3
DOI :
10.1109/APS.1994.408110