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An approximation for the inverse-Compton radiation power of electrons in theisotropic black-body photon field is presented. The approximation allows one tocalculate inverse-Compton emissivity as integral over the energies of incidentelectrons rather than over the field photon energies. Such an approach allowsfor accurate modeling of IC emission of electrons with energy spectra beingdifferent from power-law, in situation where the CPU resources are limited.High accuracy of this approximation allows one to use it in a wide range ofconditions, from Thomson to extreme Klein-Nishina limits. The approach adoptedresults also in some new analytic expressions representing known results in theThomson limit.

Approximation for radiation power of electrons due to inverse-Compton process in the black-body photon field