Title
Quasi-magnetostatic solution for a conducting and permeable spheroid with arbitrary excitation
Abstract
Broad-band electromagnetic induction (EMI) methods are promising in the detection and discrimination of subsurface metallic targets. In this paper, the quasi-magneto- static solution for a conducting and permeable prolate spheroid under arbitrary excitation by a time-harmonic primary field is obtained by using the separation of variables method with vector spheroidal wave functions. Numerical results for the induced dipole moments are presented for uniform axial and transverse excitations, where the primary field is oriented along the major and minor axis of the prolate spheroid, respectively. We show that the EMI frequency responses are sensitive to the orientation and permeability of the spheroid. An approximation is also developed that aims to extend the exact solution to higher frequencies by assuming slight penetration of the primary field into the spheroid. Under this approximation, a system of equations that refers only to the external field expansions is derived. It is shown that, for spheroids with high relative permeability, this approximation is in fact capable of yielding an accurate broad-band response even for highly elongated spheroids.
Year
DOI
Venue
2002
10.1109/TGRS.2002.1006370
Geoscience and Remote Sensing, IEEE Transactions  
Keywords
Field
DocType
buried object detection,electromagnetic induction,geophysical techniques,terrain mapping,terrestrial electricity,EM induction,arbitrary excitation,axial excitation,broad band induction,broad band response,buried object detection,conducting spheroid,electromagnetic induction,elongate object,elongated spheroid,geoelectric method,geophysical measurement technique,induced dipole moment,land surface,model,permeable spheroid,prolate spheroid,quasi-magnetostatic solution,separation of variables method,subsurface metallic target,subsurface structure,terrain mapping,terrestrial electricity,theory,time-harmonic primary field,transverse excitation,vector spheroidal wave functions
Exact solutions in general relativity,Spheroid,Computational physics,System of linear equations,Relative permeability,Remote sensing,Optics,Excitation,Primary field,Separation of variables,Dipole,Mathematics
Journal
Volume
Issue
ISSN
40
4
0196-2892
Citations 
PageRank 
References 
17
1.51
4
Authors
4
Name
Order
Citations
PageRank
Chi O. Ao1335.13
Henning Braunisch2394.47
Kevin O'Neill316624.22
Jin Au Kong425542.06