Contents
Static problems involving anisotropic media have long been in the interest of geoelectromagneticists. Solving problems of that kind have been, however, quite cumbersome and lengthly, involving coordinate scaling procedures with lots of indexed variables. The image method stands as an attractive alternative since no coordinates are involved and the image concept gives a quasi-physical quantity which can be handled just like ordinary physical sources. The present paper gives a simple method for deriving the image sources based on a transmissionline analogy. The problems treated are PEC (perfectly electrically conducting) and PMC (perfectly magnetically conducting) boundaries together with anisotropic impedance boundaries and interfaces of two anisotropic media with similar anisotropies.
Übersicht
Statische Probleme mit anisotropen Medien sind schon lange von Interesse auf dem Gebiet des Geo-Elektromagnetismus. Die Lösung der Probleme unter Verwendung von Maßstabsfaktoren für die Koordinaten war mühsam und aufwendig. Die Abbildungs-Methode ist eine attraktive Alternative, da keine Koordinaten verwendet werden. Das Abbildungs-Konzept ergibt eine quasi-physikalische Größe, die wie eine normale physikalische Quelle behandelt werden kann. Der vorliegende Aufsatz beschreibt eine einfache Methode für die Ableitung der abgebildeten Quellen auf Basis einer Transmission-Line Analogie. Die behandelten Probleme sind “PEC”-(perfekt elektrisch leitende) und “PMC”-(perfekt magnetisch leitende) Berandungen mit anisotropen Impedanzübergängen und Trennflächen zweier anisotroper Medien mit ähnlichen Anisotropien.
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The present study was made for a post graduate seminar in Helsinki University of Technology, during fall term 1992. The authors are indebted for the help given by Mr. Murat Ermutlu during the course.
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Lindell, I.V., Nikoskinen, K.I. Image method for electrostatic problems involving planar anisotropic media based on transmission-line analogy. Archiv f. Elektrotechnik 77, 251–257 (1994). https://doi.org/10.1007/BF01577386
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DOI: https://doi.org/10.1007/BF01577386