Two-dimensional Rayleigh scattering in a semi-infinite cylindrical medium exposed to a laser beam.
Abstract
A modification of Ambarzumian's method is used to develop the integro-differential equations for the source function, flux, and intensity at the boundary of a two-dimensional, semi-infinite cylindrical medium with second order Legendre phase function scattering. The incident radiation is collimated, normal to the top surface, and is dependent only on the radial coordinate. Boundary conditions which vary as a Bessel function and as a Gaussian distribution are investigated. The Gaussian distribution approximates a laser beam. Numerical results are presented in graphical and tabular forms for a Rayleigh scattering medium. The results are compared with those of isotropic scattering.
- Publication:
-
Journal of Quantitative Spectroscopy and Radiative Transfer
- Pub Date:
- September 1983
- DOI:
- 10.1016/0022-4073(83)90063-8
- Bibcode:
- 1983JQSRT..30..255C
- Keywords:
-
- Cylinders;
- Laser Beams;
- Radiative Transfer;
- Rayleigh Scattering;
- Asymptotes;
- Bessel Functions;
- Boundary Conditions;
- Boundary Value Problems;
- Normal Density Functions;
- Lasers and Masers;
- Rayleigh Scattering