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A number of theoretical calculations have studied the effect of radiationreaction forces on radiation distributions in strong field counter-propagatingelectron beam-laser interactions, but could these effects - including quantumcorrections - be observed in interactions with realistic bunches and focusingfields, as is hoped in a number of soon to be proposed experiments? We presentnumerical calculations of the angularly resolved radiation spectrum from anelectron bunch with parameters similar to those produced in laser wakefieldacceleration experiments, interacting with an intense, ultrashort laser pulse.For our parameters, the effects of radiation damping on the angulardistribution and energy distribution of \emph{photons} is not easilydiscernible for a "realistic" moderate emittance electron beam. However,experiments using such a counter-propagating beam-laser geometry should be ableto measure such effects using current laser systems through measurement of the\emph{electron beam} properties. In addition, the brilliance of this source isvery high, with peak spectral brilliance exceeding $10^{29}$photons$\,$s$^{-1}$mm$^{-2}$mrad$^{-2}(0.1$% bandwidth$)^{-1}$ withapproximately 2% efficiency and with a peak energy of 10 MeV.

Numerical calculations of a high brilliance synchrotron source and on  issues with characterizing strong radiation damping effects in non-linear  Thomson/Compton backscattering experiments