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Direct magnetic problem solved by quaternion analog of 3-D Cauchy-Riemann system

Die Lösung der direkten Aufgabe der Magnetik mit Hilfe des Quaternionen Analogons des 3-D Cauchy-Riemann Systems

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Contents

By applying the quaternion variant of the Cauchy integral formula the general solution of the direct magnetic problem is derived. The applicability of the method presented here is shown by investigating and calculating the outer field of a analytically magnetized sphere.

Übersicht

Die allgemeine Lösung der direkten Aufgabe der Magnetik wird mit Hilfe der Quaternionenvariante des Cauchy-Integrals abgeleitet. Die Anwendbarkeit der vorgestellten, Methode wird am Beispiel des berechneten äußeren magnetischen Feldes einer analytisch magnetisierten Kugel untersucht.

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Authors and Affiliations

  1. Geophysical Institute, Bratislava working place: Mining Institute of SAS, Solovjevova 45, 04353, Košice, Slovakia

    A. Mockovčiakovà

  2. Gesamthochschule Fachbereich Elektrotechnik Fachgebiet Allgemeine und Theoretische Elektrotechnik und SFB 254, Universität Duisburg, Bismarckstraße 81, 47048, Duisburg, Bundesrepublik Deutschland

    H. D. Storzer & A. Beyer

Authors
  1. A. Mockovčiakovà
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  2. H. D. Storzer
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  3. A. Beyer
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Mockovčiakovà, A., Storzer, H.D. & Beyer, A. Direct magnetic problem solved by quaternion analog of 3-D Cauchy-Riemann system. Archiv f. Elektrotechnik 76, 417–421 (1993). https://doi.org/10.1007/BF01576020

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  • DOI: https://doi.org/10.1007/BF01576020

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