Amplitude of the perturbed scalar potential computed by the mixed WKB-full-wave approach (the color contour plot) and reference ray's trajectories obtained by 2D WKB method (yellow lines).
The parallel wave number spectrum at different radii r (color contour plot) and 's evolution versus r using 2D WKB method (yellow circle line).
The spectrum at different radial positions, (red squares), 0.60 (green triangles), and 0.95 (blue circles). is normalized as . 140 wave-packets are launched with different centered initially at . The spectrum is upshifted to larger and broadened when propagating inward.
The normalized damping rate, , and the normalized power evolution, , of the wave-packet labeled by different , (red circles), 1.8 (blue square), and 1.9 (green triangles) calculated by mixed WKB-full-wave approach. The solid lines correspond to the results obtained from 2D WKB method.
The normalized total power evolution and the normalized total deposited power, , versus r using the mixed WKB-full-wave approach (green squares) and 2D WKB method (red circles). Since the mixed WKB-full-wave approach accounts for the spectrum broadening effects, the power deposition profile is more peripheral than that estimated by the central reference ray calculated from the 2D WKB method.
The two pass propagation of the LHW using the mixed WKB-full-wave approach (the color contour plot) and 2D WKB method (yellow lines).
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