Phase Conjugate Laser Optics

Chapter 5.2.3 - 5.2.3 The input pulse rise-time requirement

5.2.3   The input pulse rise-time requirement

Although the poor wavefront reversal that results from a pulse whose width is
significantly shorter than τB was recognized [16, 17], the results of this study suggested


Figure 5.4. Line-outs of the spatial profiles at the focus of the 200-cm lens for eight consecutive return pulses from the N2 SBS cell using (a) the full quasi-Gaussian temporal profile and (b) the fast-rise-time temporal profile. The input energy was *200 mJ corresponding to .16  the SBS threshold.


that even wider pulses having the same characteristic leading-edge rise time associated
with the short pulse can also produce Stokes pulses with poor phase fidelity. Noise
modes amplified early in the SBS extraction by the high pump beam-irradiance reached
at focus can dominate the SBS extraction from the incoming pump for the duration of
the pulse. The competition by these modes would be expected to diminish after many
τB in the case of a very long input pulse. For the case of slow rise times, the irradiance
shielding of the focal volume that results from pump extraction by the PC mode
initiated early in the pump pulse also decreases the possibility of fidelity degradation
by other nonlinear mechanisms such as optical breakdown, Raman conversion, and
self-focusing. Previous investigators have noted this pulse shape dependence of
competition by other nonlinear processes [22]. It is of significance that the laser
amplifier system used to generate the laser pulses reported in Ref. 20 incorporated an
SBS mirror in the amplifier chain [23] since the threshold turn-on characteristics of
such a mirror combined with gain saturation in the amplifiers would be expected to
generate an input pulse with a steep leading edge. We believe that this explains the
fidelity fluctuations observed in that report, even when using TiCl4 with τB ~ 2 ns.

It is important to note that these results do not completely resolve experimental
and theoretical inconsistencies concerning the dependence of SBS phase
conjugation fidelity on input energy. They demonstrate, however, that the laser
pulse shape is also very significant and should be given careful consideration in
designing SBS phase conjugate mirrors. The measurements suggest that for optimal
wavefront reversal using an SBS focused oscillator cell and high input powers, the
rise time of the incoming pulse should be comparable to or longer than the acoustic
decay time in the medium. This can be accomplished by a combination of pulse-
shape tailoring and the judicious selection of the SBS medium, and this criterion has
been incorporated into our high-energy laser designs.

Measurements by other researchers have also confirmed good wavefront reversal
fidelity using simple focus SBS high above threshold [24, 25]. Although theoretical
questions remain about the precise requirements for optimal wavefront reversal in
SBS, the fact that a phase conjugate mirror could be successfully operated at high
input energies was of great practical significance to our laser designs. In the results
reported in the rest of this chapter, SBS mirrors are shown to successfully operate
with input energies that are hundreds of times the stimulated threshold, providing
reliable, stable wavefront correction.

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