The least square deviations criterion and inverse-source magnetostatic problems

Issue title: Proceedings of the tenth International Symposium on Applied Electromagnetics and Mechanics ISEM-Tokyo

Article type: Research Article

Authors: Haznadar, Z.^a | Štih, Ž.^{a; *} | Berberović, S.^a

Affiliations: [a] Faculty of Electrical Engineering and Computing, University of Zagreb, Unska 3, 10000 Zagreb, Croatia

Correspondence: [*] Corresponding author: Ž. Štih, Tel.: +385 1 6129 656; Fax: +385 1 6129 616; E-mail: zeljko.stih@fer.hr

Abstract: A procedure for the determination of the distribution of magnetization in an object of interest using measured disturbances of external magnetic field is described in the paper. The object is divided into a finite number of brick-shaped elements and we prescribe uniform distribution of magnetization within each element. The contribution of each element to the total magnetic field may be calculated analytically in terms of unknown coefficients of magnetization distribution. These coefficients are determined from a set of measured magnetic field values by application of the least square deviations criterion. Such an approach enables a priori analysis of stability of computation. The application of the procedure is illustrated by an example.

DOI: 10.3233/JAE-2002-456

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 15, no. 1-4, pp. 207-212, 2002