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Integral equation method in three dimensions

We shall use these formulae (9.34) and (9.36) in electromagnetic inversion. 9.1.5 Integral equation method in three dimensions [Pg.239]

Wc can apply an approach, similar to the one used in the 2-D case, to derive the electromagnetic integral equations in three dimensions. Electromagnetic Green s tensors, introduced in the previous chapter, make it possible to determine the electromagnetic field of an arbitrary current distribution j (r) within a medium with background conductivity (Ti,  [Pg.239]

Maxwell s equations (9.2) can be rewritten for the background medium with excess current j =A(tE  [Pg.239]

Substituting the expression for the excess current (9.4) into (9.39), we finally obtain the well-known representation for electromagnetic field as an integral over the excess currents in the inhomogeneous domain D (Raiche, 1974 Hohmann, 1975 Weidelt, 1975a)  [Pg.240]

Using integral formulae (9.44) and (9.45), one can calculate the electromagnetic field in any point r, if the electric field is known within the inhomogeneity. Expression [Pg.240]




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