In 3D kinetic simulations, the conversion of laser energy into a collimated multi-MeV gamma-ray beam grows roughly linearly with laser power when a plasma channel at 10-20 n_cr is used, so photon number scales as P^2 and pair-production yield as P^4.
Pellegrini ,\ 10.1088/1402-4896/aa5281 journal journal Physica Scripta \ volume T169 ,\ pages 014004 ( year 2016 ) NoStop
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Collimated gamma-ray beams from structured laser-irradiated targets -- how to increase the efficiency without increasing the laser intensity
In 3D kinetic simulations, the conversion of laser energy into a collimated multi-MeV gamma-ray beam grows roughly linearly with laser power when a plasma channel at 10-20 n_cr is used, so photon number scales as P^2 and pair-production yield as P^4.