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Nota de FísicaPublicado

Plane of Induced Dipoles in Self-Consistent Approach as a Unit of X-ray Scattering

W.A. Keller

1993

Dados da publicação

Autores
W.A. Keller
Tipo
Nota de Física
Status
Publicado
Data de publicação
1993
Descrição
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.
Ano
1993
Número
CBPF-NF-027/93
Vínculo com tese
Não
Vínculo com bolsa
Não
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