Title :
Quaternionic approach to electromagnetic
Author :
Ravchenko, Vladislav V K
Author_Institution :
Dept. of Math., CINVESTAV del IPN, Queretaro
fDate :
June 29 2008-July 2 2008
Abstract :
In the present paper we give an overview of recent applications of quaternionic analysis techniques to different mathematical models of electromagnetic theory. In this contribution we explain a numerical method for solving electromagnetic scattering problems in chiral media with an unusual for three-dimensional models precision by the aid of biquaternionic fundamental solutions which to the difference of the usually utilized matrix fundamental solutions for the Maxwell equations enjoy some advantageous properties.
Keywords :
Maxwell equations; chirality; electromagnetic wave scattering; Maxwell equations; biquaternionic fundamental solutions; chiral media; electromagnetic scattering problems; electromagnetic theory; quaternionic analysis techniques; Algebra; Boundary value problems; Electromagnetic analysis; Electromagnetic fields; Electromagnetic scattering; Mathematical model; Mathematics; Maxwell equations; Nonhomogeneous media; Physics;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2008. MMET 2008. 12th International Conference on
Conference_Location :
Odesa
Print_ISBN :
978-1-4244-2284-5
DOI :
10.1109/MMET.2008.4580934