Spherical, Astrophysical Masers

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Scientific paper

We study the propagation of radiation through a partially saturated, spherical maser, with due consideration for the frequency dependence of the radiation and of the anisotropic, amplifying medium. In standard treatments of spherical masers, the simplifying assumption has been made that the radiation is so strongly beamed in the radial direction that one need only consider radial velocities when calculating the interaction between the radiation and the molecules. Previous studies have indicated that this simplification may lead to erroneous predictions about certain properties of spherical masers including the apparent angular size and the spectral line profile. We examine this possibility by performing a self-consistent calculation in which the dependence of the populations on the radiation intensity is expanded in a series in the transverse velocity. For other geometries, such effects should be less important because the beaming angle of the radiation tends to be smaller.

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