Data di Pubblicazione:
2007
Citazione:
Classical light dispersion theory in a regular lattice / M. Marino, A. Carati, L. Galgani. - In: ANNALS OF PHYSICS. - ISSN 0003-4916. - 322:4(2007), pp. 799-823.
Abstract:
We study the dynamics of an infinite regular lattice of classical charged oscillators. Each individual
oscillator is described as a point particle subject to a harmonic restoring potential, to the retarded
electromagnetic field generated by all the other particles, and to the radiation reaction expressed
according to the Lorentz–Dirac equation. Exact normal mode solutions, describing the propagation
of plane electromagnetic waves through the lattice, are obtained for the complete linearized system
of infinitely many oscillators. At variance with all the available results, our method is valid for any
values of the frequency, or of the ratio between wavelength and lattice parameter. A remarkable
feature is that the proper inclusion of radiation reaction in the dynamics of the individual oscillators
does not give rise to any extinction coefficient for the global normal modes of the lattice. The
dispersion relations resulting from our solution are numerically studied for the case of a simple cubic
lattice. New predictions are obtained in this way about the behavior of the crystal at frequencies near
the proper oscillation frequency of the dipoles.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
M. Marino, A. Carati, L. Galgani
Link alla scheda completa: