Two-dimensional linearly anisotropic scattering in a semi-infinite cylindrical medium exposed to a laser beam

Details Two-dimensional linearly anisotropic scattering in a semi-infinite cylindrical medium exposed to a laser beam Two-dimensional linearly anisotropic scattering in a semi-infinite cylindrical medium exposed to a laser beam

Sep 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982jqsrt..28..233c&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 28, Sept. 1982, p. 233-263.

Computer Science

17

Anisotropic Media, Boundary Value Problems, Cylindrical Bodies, Flux Density, Laser Beams, Laser Modes, Radiative Transfer, Scattering Functions, Backscattering, Bessel Functions, Boundary Conditions, Differential Equations, Forward Scattering, Incident Radiation, Integral Equations, Normal Density Functions

Scientific paper

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 which scatters linearly. The incident radiation is collimated, normal to the top surface of the medium, and is dependent only on the radial coordinate. The radial variation is assumed to be a Bessel function or a Gaussian distribution. The Gaussian boundary condition is used to simulate a laser beam. Numerical results are presented in graphical and tabular forms for both boundary conditions. Results for forward and backward scattering phase functions are compared with those for isotropic scattering. A method is presented for extending these results to the problem of a strongly anisotropic phase function which is made up of a spike in the forward direction superimposed on a linear phase function.

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