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Analytical solution of the simple nonlinear radiative transfer problem
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Exploring the \Principle of invariance" and the method of \Lin- ear images", the simple nonlinear conservative problem of radiative transfer is analyzed. The solutions of nonlinear reflection-transmission and internal field problems of one dimensional scattering-absorbing medium of finite optical thickness are obtained, whereas both bound- aries of medium illuminated by powerful radiation beams. Using two different approaches - a direct and inverse problem, the analytical solution of the internal field problem is derived.