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The effects of optical smoothing techniques on filamentation in laser plasmas
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18.A 3‐D version of the computer code presented here has been used to simulate ISI filamentation driven by the ponderomotive force only. Preliminary runs were performed with 1.06 μm wavelength ISI light in the plasma shown in Fig. 22(a). The results indicated that although some filaments grow to much higher intensities, they do not contain much energy. The intensity probability distributions are similar to the 2‐D results shown in Sec. IV (Fig. 24).
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27.See National Technical Information Service Document No. ADA‐179144 (NRL Plasma Formulary, edited by D. L. Book, 1987). Copies may be ordered from the National Technical Information Service, Springfield, Virginia 22161. The price is $14.95 plus a $3.00 handling fee. All orders must be prepaid.
28.ISI filamentation simulations have been performed with no damping and give comparable results. Less damping results in acoustic waves propagating farther, and increases the characteristic distance over which the acoustic waves interact with each other. This increased interaction length is counteracted by the increased (random) phase averaging of the acoustic waves. The net result is that less damping produces a slightly more stochastic background plasma, which increases incoherent scattering of the em wave and slightly suppresses filamentation effects. In this light, the case of used in this analysis may be considered as a more stringent test for ISI smoothing than
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33.Consider Fig. 1 as an example; at each value of z in Fig. 1(c), the maximum intensity is found; this is and it is plotted as the solid line in Fig. 1(a). Further, the value of is and occurs at in Fig. 1(a), as it is the first occurring intensity maximum along the z axis. In this particular case, it is also true that (which is shortened to ), since the first occurring intensity maximum is also the absolute intensity maximum of the distribution. The focal length in Fig. 1 is thus unambiguously where the value of is found.
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38.Varying the coherence time arbitrarily has practical limitations. As the bandwidth decreases ( increases), the ISI echelon steps must be thick enough to satisfy the requirement that all of the beamlets are temporally incoherent with respect to one another. The maximum thickness step must be at least long for an echelon with N total sections; N is typically of order several hundred.
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