Abstract

Doppler harmonic generation of a high-power laser on a relativistic plasma mirror is a promising path to produce bright attosecond light bursts. Yet, a major challenge has been to find a way to generate isolated attosecond pulses, better suited to timed-resolved experiments, rather than trains of pulses. A promising technique is the attosecond lighthouse effect, which consists in imprinting different propagation directions to successive attosecond pulses of the train, and then spatially filtering one pulse in the far field. However, in the relativistic regime, plasma mirrors get curved by the radiation pressure of the incident laser and thus focus the generated harmonic beams. This increases the harmonic beam divergence and makes it difficult to separate the attosecond pulses angularly. In this article, we propose two novel techniques readily applicable in experiments to significantly reduce the divergence of Doppler harmonics, and achieve the generation of isolated attosecond pulses from the lighthouse effect without requiring few-cycle laser pulses. Their validity is demonstrated using state-of-the-art simulations, which show that isolated attosecond pulses with $10$TW peak power in the X-UV range can be generated with PW-class lasers. These techniques can equally be applied to other generation mechanisms to alleviate the constraints on the duration on the laser pulses needed to generate isolated attosecond pulses.

Highlights

  • High-order harmonic generation of femtosecond lasers has been key to the advancement of attosecond science [1]

  • We propose two techniques to significantly reduce the divergence of Doppler harmonics, and implement the gating of isolated attosecond pulses with the attosecond lighthouse effect in the ROM regime

  • For a gradient scale length in the range L ≈ λ0/20 − λ0/8 that optimizes harmonic generation efficiency for laser angles of incidence between 60◦ and 45◦ [44,45], Nmax = θ0/θn is of the order of 1. This shows that generating isolated attosecond pulses with the lighthouse effect in laser-plasma conditions that are optimal for Doppler harmonic generation is very challenging, as it would require laser pulses with a duration of the order of one optical cycle

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Summary

INTRODUCTION

High-order harmonic generation of femtosecond lasers has been key to the advancement of attosecond science [1]. The short duration of the driving laser pulse, combined with the strong nonlinearity of the generation process, ensures that one attosecond pulse only is produced if the highest harmonic orders are selected—a scheme called intensity gating. Obtaining isolated attosecond pulses through the lighthouse effect in the ROM regime would require high-power laser pulses with durations of at most two cycles, with limited benefits compared to conventional intensity gating. We propose two techniques to significantly reduce the divergence of Doppler harmonics, and implement the gating of isolated attosecond pulses with the attosecond lighthouse effect in the ROM regime We emphasize that these schemes are not specific to the ROM mechanism— they are relevant in this case—but apply to any type of source of attosecond pulses. V, we perform a three-dimensional (3D) numerical experiment with the particle-in-cell (PIC) code WARP+PXR to validate the first technique and provide quantitative estimates of the properties of the isolated attosecond pulses that could be obtained with a PW-class laser

Separation criterion
Current limitations in the relativistic regime
General principle
Model for a Gaussian laser beam with WFR out of focus
Model for the harmonic beam spatial phase and divergence
Optimal defocusing distance for a fixed PFT
Effect of PFT on the angular separation of attosecond pulses
SHAPING THE LASER BEAM SPATIAL INTENSITY PROFILE
Flattening the spatial intensity profile of a laser pulse with WFR
APPLICATION TO A PW-CLASS LASER
Simulation results
CONCLUSION
Analytical form of a Gaussian beam with WFR out of laser focus
Findings
Expression of WFR velocity out of laser focus
Full Text
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