Quaternionic analysis and Maxwell‘s equations

Wolfgang Spr¨ossig

Quaternionic analysis and Maxwell‘s equations

Authors

Wolfgang Spr¨ossig Institute of Applied Analysis TU Bergakademie Freiberg Pr¨ufer-Strasse 9 09596 Freiberg, Germany.

Keywords:

Maxwell equations, quaternionic analysis, operator calculus

Abstract

Methods of quaternionic analysis are used to obtain solutions of Maxwell‘ s equations. By the help of time-discretisation Maxwell‘s equations are reduced to an equation of Yukawa type. Initial value and boundary value conditions are realized by a representation formula in each time step. Approximation and stability is proved.