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.
Stark , author C
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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.