37 research outputs found

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    Implicit spectral methods for wave propagation problems

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    The numerical solution of a non-linear wave equation can be obtained by using spectral methods to resolve the unknown in space and the standard Crank-Nicolson differencing scheme to advance the solution in time. We have analyzed iterative techniques for solving the non-linear equations that arise from such implicit time-stepping schemes for the K-dV and the KP equations. We derived predictor-corrector method that retain the full accuracy of the implicit method with minimal stability restrictions on the size of the time step. Some numerical examples show the propagation of interacting solitons. © 1991

    Plasma evolution from laser‐driven gold disks. I. Experiments and results

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    Gold disk targets were irradiated with green (λ=0.53 ÎŒm) laser light at intensities between 0.5 and 5×1014 W/cm2 using shaped laser pulses. Plasma conditions near and below critical density (nc≂4×1021/cm3) were determined from three diagnostics. Streaked one‐dimensional images of the M‐band emission (2–3.5 keV) along the laser axis yield the peak emission trajectory. Temporally and spatially averaged measurements of the hard x‐ray spectrum (4–25 keV) were used to determine the average coronal electron temperature. Holographic interferometry was used to determine the electron density profiles and scale lengths along the laser axis. The peak emission trajectory, electron temperature, and scale lengths are all in good agreement with simulations, but the magnitudes of the electron density profiles are not, as discussed in an accompanying paper [Phys. Fluids B 2, 2448 (1990)].Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/71319/2/PFBPEI-2-10-2437-1.pd
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