Panofsky-Phillips equations

In field-matter interaction, the fields and E remain unchanged. The fields D and H change because P and M change. Equations (612) have precisely the same structure as Eqs. (9-7) of Panofsky and Phillips [86] with the following identifications ... 

On the z axis both charge densities are zero, but E, B fields are non solenoidal elsewhere. The last two equations contain both advanced and retarded potentials. These expressions may be constrasted with conventional results for electric dipoles containing retarded potentials only see, for instance, Panofsky and Phillips [65, Chap. 14], and Born and Wolf [62, pp. 84—87],... 

Panofsky and Phillips [ 1962] show the connection between the electric field E to the magnetic field B and current jtrue by giving two (of the four) Maxwell s equations as... 

These equations are coupled by the third term in equation (2.52) and would be difficult to solve as they stand. However, because of the way the potentials are defined, it can be shown that it is possible to impose the additional condition (Panofsky and Phillips 1962, Ch.l3)... 

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