  Direct laser slab face-cooling by a fluid crossing the main and pump laser
beams is an important method to reach high average laser powers. However, the
flow regime is usually maintained at low Reynolds numbers, to prevent the onset
of turbulence features in the flow, that would degrade wavefront quality. We
show here how bringing the fluid temperature to the thermo-optical null point,
close to the water/ice transition in the case of water, allows one to mitigate
the optical consequences of hydrodynamic instabilities, by bleaching optically
the temperature inhomogeneities within the flow. This optical process, dubbed
'index-leveling', opens the door to a highly efficient forced-flow, weakly
turbulent face-cooling regime that should be instrumental to boost the kilowatt
capabilities of next generation high-power lasers.
