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Engineering Electrodynamics by Marek Turowski, Janusz Turowski

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5 Magnetic Fields Near Iron Surfaces

5.1 Method of Mirror Images

5.1.1 Singular Images of Direct Current

The method of images is based on the analogy with optics. The analogy of electrostatic E = −grad V and magnetostatic H = −grad Vm fields gives us the possibility to consider them in the same way. Let us start with the magnetostatics, where B = μH. The method of mirror images, in the case of constant magnetic permeability μi of two adjacent media, consists of substitution of two media I and II (Figure 5.1a) by only one medium I (Figure 5.1b) or II (Figure 5.1c) and an auxiliary fictitious, image current i1. The value of this fictitious current i1 is determined by the rule of uniqueness of the field, specified by the boundary conditions (2.191) ...

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