On a quaternionic form of the Maxwell equations for the time-dependent electromagnetic field in chiral media

  • In [1] a quaternionic reformulation of the time-harmonic Maxwell equations for chiral media was proposed and used in [2] 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. TheIn [1] a quaternionic reformulation of the time-harmonic Maxwell equations for chiral media was proposed and used in [2] 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. [1] 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. [2]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.show moreshow less

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Metadaten
Document Type:Conference Proceeding
Author: Kira Khmelnytskaya
DOI (Cite-Link):https://doi.org/10.25643/bauhaus-universitaet.321Cite-Link
URN (Cite-Link):https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20111215-3219Cite-Link
Language:English
Date of Publication (online):2005/01/06
Year of first Publication:2003
Release Date:2005/01/06
Institutes and partner institutions:Fakultät Bauingenieurwesen / Professur Informatik im Bauwesen
GND Keyword:Chirale Verbindungen; Elektromagnetisches Feld; Zeitabhängigkeit; Maxwellsche Gleichungen; Quaternion
Source:Internationales Kolloquium über Anwendungen der Informatik und Mathematik in Architektur und Bauwesen , IKM , 16 , 2003 , Weimar , Bauhaus-Universität
Dewey Decimal Classification:600 Technik, Medizin, angewandte Wissenschaften / 620 Ingenieurwissenschaften / 620 Ingenieurwissenschaften und zugeordnete Tätigkeiten
BKL-Classification:31 Mathematik / 31.80 Angewandte Mathematik
56 Bauwesen / 56.03 Methoden im Bauingenieurwesen
Collections:Bauhaus-Universität Weimar / Internationales Kolloquium über Anwendungen der Informatik und Mathematik in Architektur und Bauwesen, IKM, Weimar / Internationales Kolloquium über Anwendungen der Informatik und Mathematik in Architektur und Bauwesen, IKM, Weimar, 16. 2003
Licence (German):License Logo In Copyright