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Abstract

Accelerated charges emit electromagnetic radiation and the consequent
energy-momentum loss alters their trajectory. This phenomenon is known as
radiation reaction and the Landau-Lifshitz (LL) equation is the classical
equation of motion of the electron, which takes into account radiation-reaction
effects in the electron trajectory. By using the analytical solution of the LL
equation in an arbitrary plane wave, we compute the analytical expression of
the classical emission spectrum via nonlinear Thomson scattering including
radiation-reaction effects. Both the angularly-resolved and the
angularly-integrated spectra are reported, which are valid in an arbitrary
plane wave. Also, we have obtained a phase-dependent expression of the electron
dressed mass, which includes radiation-reaction effects. Finally, the
corresponding spectra within the locally constant field approximation have been
derived.