The softening of radiation by multiple Compton scattering

Abstract
The problem of the softening of radiation by multiple Compton scattering in an atmosphere of free electrons is considered. An idealized problem in plane-parallel atmospheres is formulated and the appropriate equation of transfer is approximately solved. The modified distributions with wave-length of the radiation emergent after transmission through various optical thicknesses of an incident monochromatic flux of radiation are tabulated. The calculations show that there is a relatively high probability for quite large shifts after transmission through optical thicknesses of order even unity.

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