Open AccessBackus and gilbert method for vector fields
Author(s) -
Grave de Peralta Menendez Rolando,
Andino Sara L. Gonzalez
Publication year - 1999
Publication title -
human brain mapping
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.005
H-Index - 191
eISSN - 1097-0193
pISSN - 1065-9471
DOI - 10.1002/(sici)1097-0193(1999)7:3<161::aid-hbm2>3.0.co;2-#
Subject(s) - vector field , inverse problem , vector (molecular biology) , vector space , vector potential , computer science , inverse , calculus (dental) , algebra over a field , mathematics , mathematical analysis , physics , pure mathematics , magnetic field , geometry , medicine , biochemistry , chemistry , dentistry , quantum mechanics , gene , recombinant dna
This report describes the theory of Backus and Gilbert with special emphasis for the case of vector fields as required for the solution of the electromagnetic inverse problem. A description of the method is presented with the detailed mathematical derivation of the coefficients that determine the solution for the retrieval of vector fields. Such derivation, to our knowledge, has never been reported in the literature. We also identify some crucial points that can (and had) lead to misuse of this solution and describe some disadvantages of this theory for the case of vector fields suggesting some alternatives to deal with them. Hum. Brain Mapping 7:161–165, 1999. © 1999 Wiley‐Liss, Inc.