Absorption line formation in an optically thick, weakly absorbing planetary atmosphere. II. Vertically inhomogeneous medium.

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Absorption line formation in an optically thick, vertically inhomogeneous atmosphere is studied. It is assumed that the absorption is weak both in the line and continuum. The problem is rigorously solved for the following two cases: 1) isothermal slab with pressure varying in accordance with the barometric law; 2) polytropic model of the atmosphere (for the central line frequency). A method is described for computing the line profile in the general case of arbitrary dependence of the optical properties of the atmosphere on the optical depth. The method is based on reducing the corresponding boundary value problem to the Cauchy problem.

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