DoD Center of Excellence to Support Theory and Experiments on Filamentation Topics for DDR&E's Recent MURI Initiatives

Abstract : USPL Laboratory Update: Reconfigured and now achieving 6.5 TW. Propagate laser to 2k & 5k site has begun. Progress on Nonlinear Propagation: Media with second and third harmonic generation present mathematical complexities in previous results that have been now simplified. Work on competing nonlinearities and propagation: We have deviated from Farnum/Kutz work to include a more uniform definition for dispersion. We have kept the 2nd order derivatives in time for a finer look at dispersion. Under SEVA and other assumptions or equations reduce to a form previously published but little computational work on them is available. Computational efforts underway: New results from a RK5 & FFT methodology and 6-pt Crank-Nicholson for our simplest form. We will move to solve the more complicated forms numerically in the future. Couple this work with plasma work by out group.