Modelling gas-kinetic effects of light on gases with Keilson-Storer collision kernels
- 14 July 1987
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 20 (13) , 3027-3045
- https://doi.org/10.1088/0022-3700/20/13/015
Abstract
The authors consider a system of optically active two-state atoms immersed in a buffer gas and irradiated by a light beam. The corresponding Bloch equations are augmented by Keilson-Storer (KS) collision kernels (1952) which account for velocity-changing collisions. Expansion of the density operator elements in the eigenfunctions of KS kernels allows one to obtain exact solutions for the Laplace transforms of the density operator elements which may be expressed as rational approximants with any prescribed degree of accuracy. As an example they apply this method to discussion of the light-induced drift effect. In particular they give analytic expressions for the drift velocity, which are illustrated by numerical results. Finally, they briefly discuss possible generalisations and applications of the presented method.Keywords
This publication has 20 references indexed in Scilit:
- Correlation functions and correlation times for models with multiplicative white noiseZeitschrift für Physik B Condensed Matter, 1985
- Absorption and fluorescence in frequency-modulated fields under conditions of strong modulation and saturationPhysical Review A, 1985
- Eigenvalues for the extremely underdamped Brownian motion in an inclined periodic potentialZeitschrift für Physik B Condensed Matter, 1984
- Atomic velocity redistribution induced by a strong light beam and collisionsOptics Communications, 1984
- On the velocity redistribution of atoms interacting with a light beamOptics Communications, 1983
- Collision kernels and laser spectroscopyPhysical Review A, 1982
- Gas diffusion induced by resonance light fieldOptics Communications, 1980
- Effects of collisions on linear and non-linear spectroscopic line shapesPhysics Reports, 1978
- Theory of collision effects on atomic and molecular line shapesApplied Physics A, 1975
- On Brownian motion, Boltzmann’s equation, and the Fokker-Planck equationQuarterly of Applied Mathematics, 1952