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Zeitschrift für Analysis und ihre Anwendungen


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Volume 22, Issue 3, 2003, pp. 569–589
DOI: 10.4171/ZAA/1163

Published online: 2003-09-30

On a Quaternionic Reformulation of Maxwell's Equations for Chiral Media and its Applications

Vladislav V. Kravchenko[1] and H. Oviedo[2]

(1) Cinvestav del IPN, Santiago De Querétaro, Mexico
(2) Cinestav, Mexico, D.f., Mexico

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

Kravchenko Vladislav, Oviedo H.: On a Quaternionic Reformulation of Maxwell's Equations for Chiral Media and its Applications. Z. Anal. Anwend. 22 (2003), 569-589. doi: 10.4171/ZAA/1163