Abstract

We present evidence for self-stabilization of the relative spectral phase of high-order harmonic emission against intensity variations of the driving field. Our results demonstrate that, near the laser focus, phase matching of the harmonic field from a macroscopic target can compensate for the intensity dependence of the intrinsic phase of the harmonics emitted by a single radiator. As a consequence, we show experimentally and theoretically the insensitivity of the harmonic spectra produced at the laser focus against variations of the carrier-envelope phase (CEP) of a sub-two-cycle driving field. In addition, the associated attosecond pulse trains exhibit phase locking against CEP changes of the few-cycle driver.

Highlights

  • High-order harmonic generation (HHG) is probably the simplest technique to obtain coherent electromagnetic radiation at the extreme ultraviolet (XUV) [1,2] or soft X-ray regimes [3]

  • High-order harmonic generation is performed on an argon gas jet (5 bar of backing pressure), coming out from a nozzle of 500 μm diameter

  • We have analyzed the dependence of HHG with the carrier-envelope phase (CEP) for sub-two cycle driving field aimed to a gas jet target

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Summary

Introduction

High-order harmonic generation (HHG) is probably the simplest technique to obtain coherent electromagnetic radiation at the extreme ultraviolet (XUV) [1,2] or soft X-ray regimes [3]. HHG being a highly nonlinear process, it is very sensitive to changes in the driving field and to changes in the CEP, when working with few-cycle laser pulses. It has been found that, in the few-cycle regime, CEP variations strongly modify the phase of the high-order harmonics, resulting in a spectral shift of the harmonic spectrum [23,24,25,26]. In this paper we study theoretically and experimentally the dependence of HHG with the CEP of the driving field, under different macroscopic phase-matching conditions, in a gas jet target. We present simulations showing that the phase difference between consecutive attosecond pulses becomes insensitive to CEP variations when the gas jet is placed near the focus position

Experimental results
Theoretical results
Conclusions
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