Physics NotePublished
Plane of Induced Dipoles in Self-Consistent Approach as a Unit of X-ray Scattering
W.A. Keller
1993
Publication details
- Authors
- W.A. Keller
- Type
- Physics Note
- Status
- Published
- Publication date
- 1993
- Description
- Scattering of the two harmonic EM plane waves by a plane of induced dipoles has been rigorously treated by means of the Hertz vector. It is shown that single plane solution may be used as a unit of X-ray scattering in the two-beam symmetrical Bragg case. This solution, given by a complex unimodular scattering matrix completely defines an interaction mode of the EM field with the single plane of dipoles for both states of polarization. The complex transmission coefficients derived determine step-like changes of phase and amplitude of both waves. In two particular vibrational states, when the two incident waves arrive at the dipole plane with the same or opposite phase, the actual phase shifts display a behavior predicted by the dynamic theory. However, as the relationship between two states is obtained in an exclusively analytical way, the customary geometrical arguments became redundant. It is shown that only a self-consistent solution, which includes cooperatives effects among scatterers, is able to conserve energy.
- Year
- 1993
- Number
- CBPF-NF-027/93
- Linked to a thesis
- No
- Linked to a grant
- No