Green's-Function Approach to Inverse Compton Scattering

Physics

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Scientific paper

The emission, absorption, and transfer of radiation produced through the Compton interaction of relativistic electrons with microwave photons in a homogeneous source is considered. It is shown that the intensity of Compton-scattered radiation can be conveniently expressed in terms of a Green's function, and this enables the radiation-transfer problem for arbitrarily many scatterings to be formalized in terms of a series of appropriately defined scattering vertex functions and absorption propagators. A rigorous discussion of the cross section for inverse Compton scattering is presented which is valid both in the extreme relativistic (γ>>1) and weakly relativistic limits (γ~=1). Using these results the spectral behavior of the intensity of Compton-scattered radiation is evaluated explicitly for once- and twice-scattered photons; the qualitative features of the multiple-scattering problem are described. At sufficiently high frequencies the spectral behavior of the first- and all higher-order scatterings is the same.

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