Radial density profile used in this paper (solid line), parabolic approximation (dashed line) and intensity profile of matched Gaussian pulse (dotted line).
Simulation result of matched pulse in straight channel with , , and .
Radial density profile of Fig. 1 (dashed line) and effective density profile of curved channel with (solid line).
Simulation results of pulse propagation in curved channel with . Plot (a) corresponds to , ; plot (b) to , ; and plot (c) to , . For all plots, .
Simulation result of pulse propagation in curved channel, including relativistic self-focusing, showing the evolution of (a) the vector potential envelope and (b) the effective density . Parameters: , , and .
As Fig. 5, with .
Simulation result of two-dimensional code, showing longitudinal envelope dynamics ( integrated over ) and transverse envelope dynamics ( integrated over ). Laser pulse parameters are , , , and , corresponding to matched propagation in paraxial simulations (see Fig. 4). For definition of co-moving coordinate , see text.
As Fig. 7 with and , corresponding to mismatched pulse.
Profiles of and effective density as functions of and at for the simulation of Fig. 7. This plot illustrates the curvature of wakefield wave fronts resulting from the radial density profile.
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