Background normal and anomalous parts of the electromagnetic field

1 Background (normal) and anomalous parts of the electromagnetic field 

Consider a 3-D geoclectrical model with the normal (background) complex conductivity at, and local inhomogeneity D with an arbitrarily varying complex conductivity a = ati + Aa. The inhomogencity is considered to be local, so there exists some radius 

Ob- Within this chapter we will confine ourselves to consideration of nonmagnetic media and, hence, assume that /x = /tg = drr x 10 ///m, where is the free-space magnetic permeability. The model is excited by an electromagnetic field generated by an arbitrary source with an extraneous current distribution j concentrated within some local domain Q. This field is time harmonic as Complex conductivity 

The electromagnetic field in the model described above can be presented as a sum of the background (normal) and anomalous fields  

The total electromagnetic field in this model satisfies the Maxwell s equations  

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