An asymptotic form of the reciprocity theorem with applications in x-ray scattering

Details An asymptotic form of the reciprocity theorem with applications in x-ray scattering An asymptotic form of the reciprocity theorem with applications in x-ray scattering

2000-01-03

arxiv.org/abs/physics/0001005v1

Physical Review B62, 3639 (2000)

Physics

Classical Physics

19 pages, 4 figures

Scientific paper

10.1103/PhysRevB.62.3639

The emission of electromagnetic waves from a source within or near a non-trivial medium (with or without boundaries, crystalline or amorphous, with inhomogeneities, absorption and so on) is sometimes studied using the reciprocity principle. This is a variation of the method of Green's functions. If one is only interested in the asymptotic radiation fields the generality of these methods may actually be a shortcoming: obtaining expressions valid for the uninteresting near fields is not just a wasted effort but may be prohibitively difficult. In this work we obtain a modified form the reciprocity principle which gives the asymptotic radiation field directly. The method may be used to obtain the radiation from a prescribed source, and also to study scattering problems. To illustrate the power of the method we study a few pedagogical examples and then, as a more challenging application we tackle two related problems. We calculate the specular reflection of x rays by a rough surface and by a smoothly graded surface taking polarization effects into account. In conventional treatments of reflection x rays are treated as scalar waves, polarization effects are neglected. This is a good approximation at grazing incidence but becomes increasingly questionable for soft x rays and UV at higher incidence angles. PACs: 61.10.Dp, 61.10.Kw, 03.50.De

Affiliated with

Also associated with

No associations

Rating

An asymptotic form of the reciprocity theorem with applications in x-ray scattering 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 An asymptotic form of the reciprocity theorem with applications in x-ray scattering, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An asymptotic form of the reciprocity theorem with applications in x-ray scattering will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-110493