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.
Highlights
Maxwell’s and Lorentz equations allow one in principle to describe self-consistently the classical dynamics of electric charges and their electromagnetic field
Even in the case of a single elementary charge, an electron for definiteness, the solution of the self-consistent problem of the electron dynamics and of that of its own electromagnetic field is plagued by physical inconsistencies, which are related to the divergent self-energy of a pointlike charge
We have derived analytically the angularly resolved and the angularly integrated energy emission spectra of nonlinear Thomson scattering by including radiation-reaction effects
Summary
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. The corresponding spectra within the locally constant field approximation have been derived
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