Title :
On the advances of Electromagnetic theory for inhomogenious media: A quaternionic approach
Author :
Ramirez T, Marco P. ; Cantarell T, J.C.
Author_Institution :
Escuela de Ing., Univ. La Salle, Mexico City, Mexico
Abstract :
We analyze a set quaternionic methods for studying the time-dependent Maxwell equations in the presence of sources for inhomogeneous media, the electrical Impedance Equation with a conductivity function depending upon three spatial variables, the Beltrami Fields and the Force-Free Magnetic Fields with non-constant proportionality factors. For the last three systems, we study some particular cases for which it is possible to obtain new classes of solutions, pointing out their possible application in boundary value problems.
Keywords :
Maxwell equations; boundary-value problems; electric impedance; electromagnetic field theory; inhomogeneous media; Maxwell equations; boundary value problems; conductivity function; electrical impedance equation; electromagnetic theory; inhomogeneous media; quaternionic approach; Algebra; Boundary value problems; Conductivity; Electromagnetic forces; Impedance; Magnetic analysis; Magnetic fields; Maxwell equations; Nonhomogeneous media; Quaternions; Electromagnetic theory; inhomogeneous media; quaternions;
Conference_Titel :
Electrical Engineering, Computing Science and Automatic Control,CCE,2009 6th International Conference on
Conference_Location :
Toluca
Print_ISBN :
978-1-4244-4688-9
Electronic_ISBN :
978-1-4244-4689-6
DOI :
10.1109/ICEEE.2009.5393319
