Spherical and spheroidal shells as models in magnetic detection

Lev Frumkis, Ben Zion Kaplan

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


The expressions for the scalar potentials of prolate and oblate spheroidal shells immersed in a dc uniform magnetic field are obtained. The expressions for the induced dipole moment of the shells are also evaluated. The problem is solved by finding solutions for the Laplace equation that satisfy boundary conditions at the shell surfaces. The shell thickness effect on the induced dipole moment and on its orientation are evaluated. The results appear to be useful for the analysis and for the prediction of magnetic signatures of hidden ferromagnetic objects belonging to a relatively large family.

Original languageEnglish
Pages (from-to)4151-4158
Number of pages8
JournalIEEE Transactions on Magnetics
Issue number5 PART 3
StatePublished - 1 Dec 1999


  • Direct current uniform magnetic field, equivalent dipole, induced magnetic moment, magnetic anomaly modeling, spheroidal shell

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering


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