Electromagnetic source transformations and scalarization in stratified gyrotropic media

Physics – Classical Physics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

20 pages, 0 figures

Scientific paper

It is known that with restrictions on the type of the constitutive equations, Maxwell's equations in non-uniform media can sometimes be reduced to two 2nd order differential equations for 2 scalar quantities only. These results have previously been obtained in two quite different ways. Either by a ``scalarization of the sources'', where the relevant scalar quantities are essentially vector potential components and where the derivation was limited to isotropic media; or alternatively by using the ``scalar Hertz potentials'', and this method has been applied to more general media. In this paper it is shown that both methods are equivalent for gyrotropic media. We show that the scalarization can be obtained by a combination of transformations between electric and magnetic sources and gauge transformations. It is shown that the method based on the vector potential, which previously used a non-traditional definition of the vector potentials, can also be obtained using the traditional definition provided a proper gauge condition is applied and this method is then extended from isotropic to gyrotropic media. It is shown that the 2 basic scalar Hertz potentials occurring in the second method are invariant under the source scalarization transformations of the first method and therefore are the natural potentials for obtaining scalarization. Finally it is shown that both methods are also equivalent with a much older third method based on Hertz vectors.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Electromagnetic source transformations and scalarization in stratified gyrotropic media does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Electromagnetic source transformations and scalarization in stratified gyrotropic media, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Electromagnetic source transformations and scalarization in stratified gyrotropic media will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-671359

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.