Response Functions in the Theory of Raman Scattering by Vibrational and Polariton Modes in Dielectric Crystals
- 1 January 1972
- journal article
- research article
- Published by American Physical Society (APS) in Reviews of Modern Physics
- Vol. 44 (1), 18-47
- https://doi.org/10.1103/revmodphys.44.18
Abstract
The paper begins with a tutorial introduction to the theory of inelastic light scattering by polaritons in dielectric crystals. The treatment is based on a simple two-oscillator model which represents the ionic and electronic motions of a crystal. The model contains a third-order anharmonicity which allows an incident laser beam to mix with the oscillator fluctuations and produce scattered light of frequency different from the incident frequency. The magnitude of the oscillator fluctuations is determined by an application of the Nyquist of fluctuation-dissipation theorem, using the response functions of the oscillators for externally applied forces. The simple model gives results for light scattering cross sections which agree with more rigorous derivations in the existing literature. The response function approach is generalized to apply to crystals having many ionic resonances and of uniaxial or orthorhombic structure. The general formulas reduce in appropriate special cases to results already published. Experimental and theoretical work on light scattering by polaritons and by pure phonons is reviewed in the context of both the two-oscillator model and the general theory. Particular attention is given to resonance scattering in an attempt to achieve consistency between the differing theoretical treatments in the literature. The subject matter of the review overlaps some topics in nonlinear optics, and contact is made with the theories of the electrooptic effect and stimulated Raman scattering.Keywords
This publication has 54 references indexed in Scilit:
- Polaritons in tetragonal BaTiO3; Theory of the Raman line shapeSolid State Communications, 1970
- Theory of Light Scattering from Polaritons in the Presence of Lattice DampingPhysical Review B, 1970
- Polariton Theory of Resonance Raman Scattering in Insulating CrystalsPhysical Review B, 1970
- Resonant Raman stokes scattering by LO-phonons in CdSOptics Communications, 1970
- Influence of normal d band on superconducting s band in two-band superconductors with nonmagnetic impuritiesJournal of Physics C: Solid State Physics, 1969
- Dielectric Dispersion and Phonon Line Shape in Gallium PhosphidePhysical Review B, 1968
- The Stimulated Raman EffectAmerican Journal of Physics, 1967
- Dielectric Properties and Optical Phonons in LiNbPhysical Review B, 1967
- Theory of Enhanced Raman Scattering and Virtual Quasiparticles in CrystalsPhysical Review Letters, 1966
- Transverse and Longitudinal Optic Mode Study in Mgand ZnPhysical Review B, 1964