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This paper presents the first experimental realization of a scheme that allows for the tuning of the axial energy deposition velocity of a focal spot with relativistic intensity. By combining a tunable pulse-front curvature with the axial energy deposition characteristics of the axiparabola, an aspheric optical element, this system allows for controlling the dynamics of laser-wakefield accelerators. We demonstrate the ability to modify the axial energy deposition velocity of 100 TW laser pulses to be superluminal or subluminal. The experimental results are supported by theoretical calculations and simulations, strengthening the case for the axiparabola as a pertinent strategy to achieve dephasingless acceleration.

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