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Title: Helicity-selective phase-matching and quasi-phase matching of circularly polarized high-order harmonics: towards chiral attosecond pulses

Abstract

Phase matching of circularly polarized high-order harmonics driven by counter-rotating bi-chromatic lasers was recently predicted theoretically and demonstrated experimentally. In that work, phase matching was analyzed by assuming that the total energy, spin angular momentum and linear momentum of the photons participating in the process are conserved. Here we propose a new perspective on phase matching of circularly polarized high harmonics. We derive an extended phase matching condition by requiring a new propagation matching condition between the classical vectorial bi-chromatic laser pump and harmonics fields. This allows us to include the influence of the laser pulse envelopes on phase matching. Here, we find that the helicity dependent phase matching facilitates generation of high harmonics beams with a high degree of chirality. Indeed, we present an experimentally measured chiral spectrum that can support a train of attosecond pulses with a high degree of circular polarization. Moreover, while the degree of circularity of the most intense pulse approaches unity, all other pulses exhibit reduced circularity. Lastly, this feature suggests the possibility of using a train of attosecond pulses as an isolated attosecond probe for chiral-sensitive experiments.

Authors:
; ; ; ; ; ; ; ; ; ; ; ;
Publication Date:
Research Org.:
Univ. of Colorado, Boulder, CO (United States)
Sponsoring Org.:
USDOE; USA–Israel Binational Science Foundation (BSF); Israel Science Foundation; German Research Foundation (DFG)
OSTI Identifier:
1254065
Alternate Identifier(s):
OSTI ID: 1254067; OSTI ID: 1435718
Grant/Contract Number:  
SC0002002; 225/14
Resource Type:
Published Article
Journal Name:
Journal of Physics. B, Atomic, Molecular and Optical Physics
Additional Journal Information:
Journal Name: Journal of Physics. B, Atomic, Molecular and Optical Physics Journal Volume: 49 Journal Issue: 12; Journal ID: ISSN 0953-4075
Publisher:
IOP Publishing
Country of Publication:
United Kingdom
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; circularly polarized high harmonic generation; phase matching; ultrafast chiral physics; attosecond pulses

Citation Formats

Kfir, Ofer, Grychtol, Patrik, Turgut, Emrah, Knut, Ronny, Zusin, Dmitriy, Fleischer, Avner, Bordo, Eliyahu, Fan, Tingting, Popmintchev, Dimitar, Popmintchev, Tenio, Kapteyn, Henry, Murnane, Margaret, and Cohen, Oren. Helicity-selective phase-matching and quasi-phase matching of circularly polarized high-order harmonics: towards chiral attosecond pulses. United Kingdom: N. p., 2016. Web. doi:10.1088/0953-4075/49/12/123501.
Kfir, Ofer, Grychtol, Patrik, Turgut, Emrah, Knut, Ronny, Zusin, Dmitriy, Fleischer, Avner, Bordo, Eliyahu, Fan, Tingting, Popmintchev, Dimitar, Popmintchev, Tenio, Kapteyn, Henry, Murnane, Margaret, & Cohen, Oren. Helicity-selective phase-matching and quasi-phase matching of circularly polarized high-order harmonics: towards chiral attosecond pulses. United Kingdom. doi:10.1088/0953-4075/49/12/123501.
Kfir, Ofer, Grychtol, Patrik, Turgut, Emrah, Knut, Ronny, Zusin, Dmitriy, Fleischer, Avner, Bordo, Eliyahu, Fan, Tingting, Popmintchev, Dimitar, Popmintchev, Tenio, Kapteyn, Henry, Murnane, Margaret, and Cohen, Oren. Mon . "Helicity-selective phase-matching and quasi-phase matching of circularly polarized high-order harmonics: towards chiral attosecond pulses". United Kingdom. doi:10.1088/0953-4075/49/12/123501.
@article{osti_1254065,
title = {Helicity-selective phase-matching and quasi-phase matching of circularly polarized high-order harmonics: towards chiral attosecond pulses},
author = {Kfir, Ofer and Grychtol, Patrik and Turgut, Emrah and Knut, Ronny and Zusin, Dmitriy and Fleischer, Avner and Bordo, Eliyahu and Fan, Tingting and Popmintchev, Dimitar and Popmintchev, Tenio and Kapteyn, Henry and Murnane, Margaret and Cohen, Oren},
abstractNote = {Phase matching of circularly polarized high-order harmonics driven by counter-rotating bi-chromatic lasers was recently predicted theoretically and demonstrated experimentally. In that work, phase matching was analyzed by assuming that the total energy, spin angular momentum and linear momentum of the photons participating in the process are conserved. Here we propose a new perspective on phase matching of circularly polarized high harmonics. We derive an extended phase matching condition by requiring a new propagation matching condition between the classical vectorial bi-chromatic laser pump and harmonics fields. This allows us to include the influence of the laser pulse envelopes on phase matching. Here, we find that the helicity dependent phase matching facilitates generation of high harmonics beams with a high degree of chirality. Indeed, we present an experimentally measured chiral spectrum that can support a train of attosecond pulses with a high degree of circular polarization. Moreover, while the degree of circularity of the most intense pulse approaches unity, all other pulses exhibit reduced circularity. Lastly, this feature suggests the possibility of using a train of attosecond pulses as an isolated attosecond probe for chiral-sensitive experiments.},
doi = {10.1088/0953-4075/49/12/123501},
journal = {Journal of Physics. B, Atomic, Molecular and Optical Physics},
number = 12,
volume = 49,
place = {United Kingdom},
year = {2016},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1088/0953-4075/49/12/123501

Citation Metrics:
Cited by: 11 works
Citation information provided by
Web of Science

Figures / Tables:

Figure 1 Figure 1: Experimental spectrogram of HHG pumped by a bi-chromatic field versus the relative phase between its two spectral components. (a) For a co-linear bi-chromatic pump field $\vec{E}$BC(t) ∞ $\hat{x}$ $\mathfrak{Re}$ [ exp (iωt + iφω)+exp (2iω + iφ2w)] the HHG spectrum oscillates with the relative phase, φω, since themore » shape of field, $\vec{E}$BC(t) is phase dependent (see inset: red curve for 0 phase and blue curve for π/2 phase). (b) HHG driven by counter-rotating circularly polarized bi-chromatic field, $\vec{E}$BC(t) ∞ $\mathfrak{Re}$ [$\hat{e}_{L}$ exp (iωt + iφω) + $\hat{e}_{R}$ exp respectively. When varying the relative phase, the three-fold rosette shape of such a bi-chromatic field (see inset for 0 and π/2 phase) undergoes a mere rotation, which is spectrally undetectable. We associate the field shape with a Lissajous curve since the field polarization is planar, rather than a line.« less

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