Quantum Theory of a Basic Light-Matter Interaction
- 15 January 1972
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 5 (2), 648-661
- https://doi.org/10.1103/physrevb.5.648
Abstract
Quantum field-theoretical methods are applied to the problem of determining how the exciton-lattice interaction affects the dispersion of an electromagnetic field associated with the exciton-radiation interaction. An exact solution for the retarded Green's function of the radiation field is calculated for a quantum model consisting of three interacting boson fields-photon, exciton, and phonon. The classical Green's function of a damped-harmonic-oscillator model of a dielectric is shown to be a special case of this quantum Green's function. Two sets of dispersion relations are derived; one set has well-defined energy, the other has well-defined momentum. Results of the theory clearly suggest that the exciton-lattice interaction is capable of literally damping out the "polariton" effects associated with the exciton-radiation interaction in the field solutions with well-defined energy. A Poynting theorem based on the classical model is also derived which includes effects of both spatial dispersion and damping.Keywords
This publication has 16 references indexed in Scilit:
- The propagation of electromagnetic energy through an absorbing dielectricJournal of Physics A: General Physics, 1970
- Phonon-Assisted Recombination of Free Excitons in Compound SemiconductorsPhysical Review B, 1968
- Contribution of Scattering of Polaritons by Phonons to Absorption of Light Waves in II-VI CrystalsPhysical Review B, 1968
- On the Reflection and Transmission Coefficients Associated with a Lowest Exciton Level (in the Case of Weak Coupling between Polariton and Phonon)Journal of the Physics Society Japan, 1968
- Dielectric Dispersion and Phonon Line Shape in Gallium PhosphidePhysical Review B, 1968
- Green's Function Approach to Exciton-Phonon InteractionsPhysical Review B, 1964
- Interband effect of lattice vibrations in the exciton absorption spectraJournal of Physics and Chemistry of Solids, 1964
- Theoretical and Experimental Effects of Spatial Dispersion on the Optical Properties of CrystalsPhysical Review B, 1963
- Theory of the Contribution of Excitons to the Complex Dielectric Constant of CrystalsPhysical Review B, 1958
- Atomic Theory of Electromagnetic Interactions in Dense MaterialsPhysical Review B, 1956