On a quaternionic form of the Maxwell equations for the time-dependent electromagnetic field in chiral media
In  a quaternionic reformulation of the time-harmonic Maxwell equations for chiral media was proposed and used in  in order to construct complete systems of quaternionic fundamental solutions convenient for numerical analysis of scattering boundary value problems. In the present contribution we give a quaternionic reformulation of time-dependent Maxwell's equations for chiral media. The Maxwell system is written as a single quaternionic equation. We obtain a fundamental solution of this equation and use it for solving Maxwell's system with sources. This is a joint work with V. V. Kravchenko.  Khmelnytskaya, K. V., Kravchenko, V. V. and H. Oviedo: Quaternionic integral representations for electromagnetic fields in chiral media. Telecommunications and Radio Engineering 56 (2001), # 4&5, 53-61. Khmelnytskaya, K. V. , Kravchenko, V. V. and V. S. Rabinovich: Quaternionic Fundamental Solutions for Electromagnetic Scattering Problems and Application. Zeitschrift für Analysis und ihre Anwendungen 22 (2003), 147--166.
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