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The magnetic field problem of three-dimensional homogeneously and inhomogeneously magnetized bodies

Das magnetische Feldproblem dreidimensionaler homogen oder inhomogen magnetisierter Körper

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A method is presented for the calculation of the magnetic field strength both inside and outside a homogeneously or inhomogeneously magnetized three-dimensional body. The calculation method developed here is in principle a generalization of the relations given for the two-dimensional problem in an earlier paper. Several examples illustrate the applicability of the described method.

Übersicht

Es wird eine Methode zur Berechnung der inneren und äußeren magnetischen Erregung eines homogen oder inhomogen magnetisierten dreidimensionalen Körpers vorgestellt. — Die hier entwickelte Methode ist im Prinzip eine Verallgemeinerung der in einem früheren Aufsatz hergeleiteten Lösung des magnetischen Feldproblems zweidimensionaler magnetisierter Körper. — Verschiedene Beispiele erläutern die Anwendbarkeit der beschriebenen Methode.

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References

  1. Beyer, A.: Solution of the two-dimensional direct magnetic problem for homogeneously and inhomogeneously magnetized bodies. 1981 International Geoscience and Remote Sensing Symposium (IGARSS '81) Digest Volume II, Washington D.C. 8–10 June 1981, GIT 28-8, pp. 1378 to 1382, June 1981

    Google Scholar 

  2. Bicadze, V. A.: Prostranstvennyj analog integrala tipa Koši i nekotorye ego priloženija (Russian). IZV AN SSSR, Serija Matematičeskaja (SSSR) 17 (1953) 525–538

    Google Scholar 

  3. Henderson, R. G.; Zietz, J.: The upward continuation of anomalies in total magnetic intensity fields, Geophysics 4 (1949) 517–534

    Google Scholar 

  4. Kolbenheyer, T., Tolcsvay, B.: Solution of the two-dimensional direct magnetic problem in terms of Cauchy integrals. Acta Geodaet., Geophys., et Montanist. Acad. Sci. Hung. (Hungary) (1974) 19, 361–369

    Google Scholar 

  5. Kolbenheyer, T.: Ob analitičeskom prodolzenii vnešnego gravitacionnogo polja trehmernogo tela vo vnutr' ego (Russian). Geophysikalische Interpretationsmethoden, Sammelwerk des Symposiums der Arbeitsgruppe 1.7 KAPG, Bratislava (Czechoslovakia), pp. 89–100, May 1978

  6. Lindholm, D. A.: Notes on boundary integral equations for three-dimensional magnetostatics. IEEE Trans., MAG-16, (1980), 1409–1413

    Google Scholar 

  7. Strahov, V. N.: K teorii ploskoj obratnoj zadači magnitnogo potentiala pri peremennoj namagničennosti (Russian). IZV AN SSSR, Fizika zemli (SSSR) 3 (3) (1970) 44–58

    Google Scholar 

  8. Strahov, V. N.: Linejnyj analiz potencialnyh polej (Russian) Geophysikalische Interpretationsmethoden, Sammelwerk des Symposiums der Arbeitsgruppe 1.7 KAPG, Bratislava (Czechoslovakia), pp. 203–222, May 1978

  9. Tolcsvay, B.: Ob odnom metode rešenija dvuhmernoj neodnorodnoj prjamoj magnitnoj zadači s pomoščju integralov tipa Koši (Russian). Geophysikalische Interpretationsmethoden, Sammelwerk der Arbeitsgruppe 1.7 KAPG, Bratislava (Czechoslovakia), pp. 229–236, May 1978

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Dedicated to Prof. T. Kolbenheyer D. Sc on the ocassion of his 65 birthday

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Beyer, A. The magnetic field problem of three-dimensional homogeneously and inhomogeneously magnetized bodies. Archiv f. Elektrotechnik 67, 35–38 (1984). https://doi.org/10.1007/BF01574729

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