Zeitschrift für Analysis und ihre Anwendungen 22 (2003), No. 3, 569--589
Copyright Heldermann Verlag 2003
On a Quaternionic Reformulation of Maxwell's Equations for Chiral Media and its Applications
Vladislav V. Kravchenko
ESIME, Institut Politecnico Nacional, 07738 México D.F.
H. Oviedo
ESIME, Institut Politecnico Nacional, 07738 México D.F.
A quaternionic reformulation of the Maxwell equations for chiral media is proposed. Integral representations for solutions are constructed. A complete solution of the extendability problem for the electromagnetic fields in chiral media is obtained. Maxwell's equations for inhomogeneous chiral media are studied also and some classes of solutions for slowly changing media are obtained.
Keywords: Maxwell's equatons, chiral media, quaternionic analysis.
MSC: 30G35; 78A25
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