Radiative source function for a slab - Approximate solution

Physics – Optics

Scientific paper

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Radiation Sources, Radiative Transfer, Scattering Functions, Slabs, Thermal Radiation, Transport Theory, Approximation, Atmospheric Optics, Black Body Radiation, Exponential Functions, Integral Equations, Kernel Functions, Light Transmission, Optical Properties, Optical Waveguides

Scientific paper

Integral equations that govern the radiative source function in a slab are investigated. Closed-form, approximate solutions, which were obtained by using an exponential kernel approximation, are presented. The resulting simple algebraic expressions predict, to within 10 percent, the exact solution over a wide range of optical parameters. They also provide the advantage of calculating with ease the radiative field within the medium.

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