Two-dimensional linearly anisotropic scattering in a finite-thick cylindrical medium exposed to a laser beam

Computer Science

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Anisotropic Media, Backscattering, Circular Cylinders, Laser Beams, Radiative Transfer, Scattering Functions, Albedo, Asymptotic Methods, Bessel Functions, Collimation, Differential Equations, Dirac Equation, Integral Equations, Legendre Functions, Refractivity

Scientific paper

Integro-differential equations are developed for the source function, flux and intensity at the boundaries of a two-dimensional finite-thick medium which scatters in a linear fashion. The incident radiation is collimated, normal to the upper surface of the medium and dependent only on the radial coordinate. Two radial distributions are investigated: (1) a Bessel function and (2) a Gaussian laser beam. The solution for the Gaussian beam is constructed from the Bessel solution. Numerical results are presented in graphical and tabular forms for both boundary conditions. Comparisons are made between forward and isotropic scattering and between the finite and semi-infinite cases.

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