Relations in the dominion of the frequency

1) Equations of Maxwell in the dominion of the frequency:

 

2) energetic Budget:

It is obtained multiplying for H^* 1ª the equation of maxwell and for â?"E 2ª the equation and taking advantage of a vectorial relation on the operator nabla, it is obtained:

 

3) Meant of the real part of the power budget:

It is had that the distributed medium power from sources in part comes dissipated for effect of the conductivity and of the polarization magnetic electrical worker and and in part comes irradiated through one any surface that encircles sources.

 

4) Meant of the imaginary part of the power budget:

It indicates that a part of the power yielded from sources to the field, returns periodically to same sources balancing in such a way the variations of stored power and the eventual one I re-enter of power through the surface that encircles sources.

 

5) Oneness of the solution of the equations of Maxwell:

The solution delle equations of Maxwell nel dominion della frequency is only to pact that are notes the tangential members of and or H sulla S surface that encloses volume V and if the sources are assigned.

In the case not there are dissipations in means, the solution can not be null, but this condition is only ideal.