Spatial evolution of wave amplitudes, stability of solutions, and bifurcations in sum and difference frequency generation processes under two-photon resonance conditions

Abstract

Calculational results are presented from an extensive study of the hydro-burn response of bare DT shells, inert shells, and DT-filled micro-balloons to ramp-like, Gaussian, and square laser pulses. Scaling laws are determined for the best pulse energy and time scale for shells, as functions of their mass, aspect ratio and initial density. The advantages of DT ice over DT gas in the microballoons are demonstrated. An equivalence rule is established between linear ramp pulses and Gaussians, and a connection is drawn between the ramps and square pulses. Projections are made, via the scaling rules, to breakeven-plus pellet designs. The scaling rules are used to recommend pulses for pellets recently imploded at LASL and KMSF. The calculated performance of these targets is shown to agree, after adjustments, with the laboratory findings. Attention is drawn to practical problem areas in structured pellet design.