Complex intensity and potential of a magnetic field

Let domain F be filled with magnetized masses with an intensity of magnetization I(.T, c) = IjX.i , z), Iz x, z)). Let us define the complex intensity of magnetization as 

The complex intensity of a plume magnetic jield can be defined, according to 

is useful to compare efiualion (G.. L) with the corresponding formula lot a gra ity 

One can sec that these ( X])ressions are similar, with one very imi)ortant dillerence the dc nsit,y piQ is a real function, while the coiri])lex iritc nsity of magne tization. 1(C)-is a corni)lex function. 

Tlio cotn])lex magiu tic potential generated by a uniformly magiu tizcd body, /(C) = /t), is defmed l)v 

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Integral representations of potential fields based on the theory of functions of a complex variablellb 6.2.3 Complex intensity and potential of a magnetic field... 

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