The three-dimensional carrier-envelope-phase map of focused few-cycle pulsed Gaussian beams

Abstract

We derive an analytical expression that describes the complete three-dimensional carrier-envelope phase (CEP) distribution of in the focal volume of ultrashort pulsed Gaussian beams focused by spherical mirrors or lenses. The focal CEP map depends on the so-called factor $g$ specifying the frequency-dependence of the beam width of the source few-cycle pulse, on its chirp and on the small chromatic aberration introduced by a lens without appreciably distorting or broadening the few-cycle pulse. We show how to tailor the CEP map of mirror-focused and lens-focused few-cycle pulses in order to produce negligible transversal and axial CEP variations in specific regions of the focal volume for phase-sensitive interactions of light with matter taking place in a volume or on a surface. We propose a quasi-achromatic doublet lens that can implement in practice these tailored CEP distributions.

9 pages, 6 figures

References in corpus (7)

• Attosecond control of electrons emitted from a nanoscale metal tip
• Tunable orbital angular momentum in high-harmonic generation
• Tracing the phase of focused broadband laser pulses
• Quasi-phase-matching high-harmonic radiation using chirped THz pulses
• Influence of generalized focusing of few-cycle Gaussian pulses in attosecond pulse generation
• Tunable high-harmonic generation by chromatic focusing of few-cycle laser pulses
• Continuous spectra in high-harmonic generation driven by multicycle laser pulses

Cited by in corpus (5)

• Spatio-temporal characterization of ultrashort laser beams: a tutorial
• On the importance of frequency-dependent beam parameters for vacuum acceleration with few-cycle radially-polarized laser beams
• Focused fields of ultrashort radially-polarized laser pulses having low-order spatio-temporal couplings
• General laws of the propagation of ultrafast vortices in free space
• Space-time coupling of the carrier-envelope phase in ultrafast optical pulses