Higher-order Kerr improve quantitative modeling of laser filamentation
  We test numerical filamentation models against experimental data about the peak intensity and filament density in laser filaments. We show that the consideration of the higher-order Kerr effect (HOKE) improves the quantitative agreement without the need of adjustable parameters. 
M. Petrarca, Y. Petit, S. Henin, R. Delagrange, P. B\'ejot, J.   Kasparian
physics.optics