Influence of interband transitions of reflections from cubic crystals
- 15 September 1973
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 59 (6) , 2951-2965
- https://doi.org/10.1063/1.1680429
Abstract
A form for the contribution of the interband transitions to the susceptibility of a crystal of arbitrary shape is suggested. This contribution differs from that of the ``normal'' transitions which lead to the usual phenomenological Maxwell equations. The explicit form of the susceptibility of a semi‐infinite cubic crystal is found, including the contributions of both interband and normal transitions. The reflection coefficients for light incident on the crystal surface from the vacuum are extracted from the general expression for the vector potential. The influence of interband transitions on the reflection coefficients (perpendicular polarization) and r∥ (parallel polarization) are ascertained and compared to the effects of normal transitions. is found to be related to the complex index of refraction by the same expression as given by classical optics. The expression for r∥, however, is found to differ from that of classical optics. For weak interband transitions it is found that the difference in phase of and r∥ has the shape of a dispersion curve while classical optics gives an absorption curve. The differences between the reflection coefficients of classical optics and those in the presence of interband transitions are depicted graphically. Quite generally, interband transitions are predicted to have a definite fingerprint.
Keywords
This publication has 5 references indexed in Scilit:
- Contribution of Surface Losses to the Stopping Power of Matter for Charged ParticlesPhysical Review B, 1972
- Influence of Interband Transitions on the Optics of Anisotropic CrystalsThe Journal of Chemical Physics, 1972
- Macroscopic Quantum ElectrodynamicsThe Journal of Chemical Physics, 1969
- Theory of the Contribution of Excitons to the Complex Dielectric Constant of CrystalsPhysical Review B, 1958
- Plasma Losses by Fast Electrons in Thin FilmsPhysical Review B, 1957