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In the interaction of laser pulses of extreme intensity ($>10^{23}~{\rm Wcm}^{-2}$) with high-density, thick plasma targets, simulations showsignificant radiation friction losses, in contrast to thin targets for whichsuch losses are negligible. We present an analytical calculation, based onclassical radiation friction modeling, of the conversion efficiency of thelaser energy into incoherent radiation in the case when a circularly polarizedpulse interacts with a thick plasma slab of overcritical initial density. Byaccounting for three effects including the influence of radiation losses on thesingle electron trajectory, the global `hole boring' motion of the laser-plasmainteraction region under the action of radiation pressure, and theinhomogeneity of the laser field in both longitudinal and transverse direction,we find a good agreement with the results of three-dimensional particle-in-cellsimulations. Overall, the collective effects greatly reduce radiation losseswith respect to electrons driven by the same laser pulse in vacuum, which alsoshift the reliability of classical calculations up to higher intensities.

Efficiency of radiation friction losses in laser-driven "hole boring" of dense targets