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Quasi-matched propagation of ultra-short, intense laser pulses in plasma channels
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10.1063/1.4707393
/content/aip/journal/pop/19/5/10.1063/1.4707393
http://aip.metastore.ingenta.com/content/aip/journal/pop/19/5/10.1063/1.4707393
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Figures

Image of FIG. 1.
FIG. 1.

Comparison between semi-analytical expression Eq. (13) (dotted line) and numerical solution of Eq. (8) (solid line) for the spot size ensuring quasi-matched propagation of a laser pulse with Gaussian temporal profile (L = 2) in a parabolic plasma channel of radius R. Results in (a) refer to R = 4 (red), 5 (green), 6 (blue) and the normalized laser power is, respectively, 0.13, 0.20, 0.28, yielding, in each case, . The longitudinal laser power profile (dashed line) is also shown as a reference. In (b) R = 5 and 0.01 (red), 0.03 (green), 0.13 (blue), 0.20 (cyan), and 0.28 (magenta), yielding, correspondingly, .

Image of FIG. 2.
FIG. 2.

Normalized laser intensity field for a laser pulse with Gaussian temporal profile with L = 2 and quasi-matched in a parabolic plasma channel with R = 3.5.

Image of FIG. 3.
FIG. 3.

Evolution of the peak value of the laser vector potential (normalized laser intensity) for a laser pulse matched in a parabolic plasma channel according to the low-power and low-intensity conditions, i.e., with an initially constant spot size throughout the beam (black line) and for the proposed quasi-matched equilibrium solution (red line). The laser and plasma parameters used in the simulation are L = 2 (Gaussian temporal profile), , , and R = 3.5. Laser pulses are evolved (2D cylindrical simulation) using (a) the paraxial wave equation and (b) the full-wave operator. The dashed blue line in (b) is the result of a 1D fluid simulation showing laser self-compression.

Image of FIG. 4.
FIG. 4.

Comparison (a) between analytical result Eq. (15) (dotted line) and numerical solution of Eq. (8) (solid line) for the optimal channel depth asa function of the normalized laser intensity ensuring quasi-matched propagation in a parabolic plasma channel of radius R, namely, , of a Gaussian laser pulse with . We considered R = 3 (red), 4 (green), 5 (blue). Comparison (b) between the density profile ensuring quasi-matched guiding for a laser pulse with and (solid line), and the density profile ensuring guiding of a laser pulse with the same spot size in the low-intensity and low-power limits (dashed line). In (a) and (b), the temporal profile of the laser pulse is Gaussian with L = 2.

Image of FIG. 5.
FIG. 5.

Evolution of the peak value of the laser vector potential (normalized laser intensity) for a Gaussian laser pulse propagating in a parabolic plasma channel of radius R and depth , namely, . Different colors refer to different channel depths, (black), 0.3 (red), 0.6 (green), 1.0 (blue), 2.0 (purple). The value is the optimal depth for quasi-matching calculated using Eq. (8). The laser and plasma parameters used in the simulations are L = 2 (Gaussian temporal profile for the laser), , and .

Image of FIG. 6.
FIG. 6.

Evolution of the peak value of the laser vector potential (normalized laser intensity) for a Gaussian laser pulse propagating in a quartic plasma channel of radius R and depth , namely, . Different colors refer to different channel depths. The laser and plasma parameters used in the simulations are L = 2 (Gaussian temporal profile for the laser), , and . In (a), the initial normalized laser intensity is (low-power and low-intensity regimes) and the depths are (black), 0.04 (red), 0.08 (green), 0.16 (blue), 0.8 (purple). Equation (17) predicts for the optimal depth for quasi-matching. In (b), the initial normalized laser intensity is (moderately nonlinear regime) and the depths are (black), 0.048 (red), 0.0664 (green), 0.096 (blue), 0.16 (purple). Equation (17) predicts for the optimal depth for quasi-matching.

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/content/aip/journal/pop/19/5/10.1063/1.4707393
2012-05-04
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Quasi-matched propagation of ultra-short, intense laser pulses in plasma channels
http://aip.metastore.ingenta.com/content/aip/journal/pop/19/5/10.1063/1.4707393
10.1063/1.4707393
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