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 bichromatic 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. 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. 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; USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; 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; OSTI ID: 1681041
- 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. https://doi.org/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. https://doi.org/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 bichromatic 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. 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. 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 = {Mon May 23 00:00:00 EDT 2016},
month = {Mon May 23 00:00:00 EDT 2016}
}
https://doi.org/10.1088/0953-4075/49/12/123501
Web of Science
Figures / Tables:
Works referenced in this record:
Origin for Ellipticity of High-Order Harmonics Generated in Atomic Gases and the Sublaser-Cycle Evolution of Harmonic Polarization
journal, July 2011
- Strelkov, V. V.; Gonoskov, A. A.; Gonoskov, I. A.
- Physical Review Letters, Vol. 107, Issue 4
Direct Observation of Surface Chemistry Using Ultrafast Soft-X-Ray Pulses
journal, June 2001
- Bauer, M.; Lei, C.; Read, K.
- Physical Review Letters, Vol. 87, Issue 2
Polarization of high-order harmonics
journal, February 1997
- Antoine, Philippe; Carré, Bertrand; L'Huillier, Anne
- Physical Review A, Vol. 55, Issue 2
Generation of bright phase-matched circularly-polarized extreme ultraviolet high harmonics
journal, December 2014
- Kfir, Ofer; Grychtol, Patrik; Turgut, Emrah
- Nature Photonics, Vol. 9, Issue 2
Time-Resolved Dynamics in N2O4 Probed Using High Harmonic Generation
journal, November 2008
- Li, W.; Zhou, X.; Lock, R.
- Science, Vol. 322, Issue 5905
Selection Rules for the High Harmonic Generation Spectra
journal, April 1998
- Alon, Ofir E.; Averbukh, Vitali; Moiseyev, Nimrod
- Physical Review Letters, Vol. 80, Issue 17
Beyond crystallography: Diffractive imaging using coherent x-ray light sources
journal, April 2015
- Miao, J.; Ishikawa, T.; Robinson, I. K.
- Science, Vol. 348, Issue 6234
Generation of higher-order harmonics upon the addition of high-frequency XUV radiation to IR radiation: Generalization of the three-step model
journal, November 2008
- Fleischer, Avner
- Physical Review A, Vol. 78, Issue 5
Lensless Diffractive Imaging Using Tabletop Coherent High-Harmonic Soft-X-Ray Beams
journal, August 2007
- Sandberg, Richard L.; Paul, Ariel; Raymondson, Daisy A.
- Physical Review Letters, Vol. 99, Issue 9
Optical rotation quasi-phase-matching for circularly polarized high harmonic generation
journal, January 2012
- Liu, Lewis Z.; O’Keeffe, Kevin; Hooker, Simon M.
- Optics Letters, Vol. 37, Issue 12
Tomographic reconstruction of circularly polarized high-harmonic fields: 3D attosecond metrology
journal, February 2016
- Chen, Cong; Tao, Zhensheng; Hernández-García, Carlos
- Science Advances, Vol. 2, Issue 2
High-Order Harmonics of Bichromatic Counter-Rotating Elliptically-Polarized Drivers: Fully Controlled Polarization State and Novel Selection Rules
conference, January 2013
- Fleischer, Avner; Sidorenko, Pavel; Cohen, Oren
- CLEO: QELS_Fundamental Science, CLEO: 2013
Non-collinear generation of angularly isolated circularly polarized high harmonics
journal, September 2015
- Hickstein, Daniel D.; Dollar, Franklin J.; Grychtol, Patrik
- Nature Photonics, Vol. 9, Issue 11
Quantum path selection in high-harmonic generation by a phase-locked two-color field
journal, January 2008
- Ishii, N.; Kosuge, A.; Hayashi, T.
- Optics Express, Vol. 16, Issue 25
Polarization control of high order harmonics in the EUV photon energy range
journal, January 2011
- Vodungbo, Boris; Barszczak Sardinha, Anna; Gautier, Julien
- Optics Express, Vol. 19, Issue 5
Polarization-dependent high-order two-color mixing
journal, May 1995
- Eichmann, H.; Egbert, A.; Nolte, S.
- Physical Review A, Vol. 51, Issue 5
Spectrally Resolved Maker Fringes in High-Order Harmonic Generation
journal, July 2011
- Heyl, C. M.; Güdde, J.; Höfer, U.
- Physical Review Letters, Vol. 107, Issue 3
Direct Measurement of Core-Level Relaxation Dynamics on a Surface-Adsorbate System
journal, July 2008
- Miaja-Avila, L.; Saathoff, G.; Mathias, S.
- Physical Review Letters, Vol. 101, Issue 4
Single Circularly Polarized Attosecond Pulse Generation by Intense Few Cycle Elliptically Polarized Laser Pulses and Terahertz Fields from Molecular Media
journal, January 2013
- Yuan, Kai-Jun; Bandrauk, André D.
- Physical Review Letters, Vol. 110, Issue 2
Creating High-Harmonic Beams with Controlled Orbital Angular Momentum
journal, October 2014
- Gariepy, Genevieve; Leach, Jonathan; Kim, Kyung Taec
- Physical Review Letters, Vol. 113, Issue 15
Probing the timescale of the exchange interaction in a ferromagnetic alloy
journal, March 2012
- Mathias, S.; La-O-Vorakiat, C.; Grychtol, P.
- Proceedings of the National Academy of Sciences, Vol. 109, Issue 13
Attosecond pulse trains with unusual nonlinear polarization
journal, June 2000
- Milošević, Dejan B.; Becker, Wilhelm
- Physical Review A, Vol. 62, Issue 1
Controlling harmonic generation in molecules with intense laser and static magnetic fields: Orientation effects
journal, October 2003
- Bandrauk, André D.; Lu, HuiZhong
- Physical Review A, Vol. 68, Issue 4
A new regime of nanoscale thermal transport: Collective diffusion increases dissipation efficiency
journal, March 2015
- Hoogeboom-Pot, Kathleen M.; Hernandez-Charpak, Jorge N.; Gu, Xiaokun
- Proceedings of the National Academy of Sciences, Vol. 112, Issue 16
Generation of circularly polarized attosecond pulses by intense ultrashort laser pulses from extended asymmetric molecular ions
journal, August 2011
- Yuan, Kai-Jun; Bandrauk, André D.
- Physical Review A, Vol. 84, Issue 2
Two-Color Phase Control in Tunneling Ionization and Harmonic Generation by a Strong Laser Field and Its Third Harmonic
journal, November 1994
- Watanabe, S.; Kondo, K.; Nabekawa, Y.
- Physical Review Letters, Vol. 73, Issue 20
Tomographic imaging of molecular orbitals
journal, December 2004
- Itatani, J.; Levesque, J.; Zeidler, D.
- Nature, Vol. 432, Issue 7019
Dependence of high-order-harmonic-generation yield on driving-laser ellipticity
journal, July 2012
- Möller, Max; Cheng, Yan; Khan, Sabih D.
- Physical Review A, Vol. 86, Issue 1
High-order harmonic amplitude modulation in two-colour phase-controlled frequency mixing
journal, July 1999
- Andiel, U.; Tsakiris, G. D.; Cormier, E.
- Europhysics Letters (EPL), Vol. 47, Issue 1
The generation, characterization and applications of broadband isolated attosecond pulses
journal, February 2014
- Chini, Michael; Zhao, Kun; Chang, Zenghu
- Nature Photonics, Vol. 8, Issue 3
Circularly polarized high harmonics generated by a bicircular field from inert atomic gases in the state: A tool for exploring chirality-sensitive processes
journal, October 2015
- Milošević, D. B.
- Physical Review A, Vol. 92, Issue 4
Tunneling ionization and harmonic generation in two-color fields
journal, January 1996
- Kondo, K.; Kobayashi, Y.; Sagisaka, A.
- Journal of the Optical Society of America B, Vol. 13, Issue 2
High Harmonic Spectroscopy of Multichannel Dynamics in Strong-Field Ionization
journal, May 2010
- Mairesse, Y.; Higuet, J.; Dudovich, N.
- Physical Review Letters, Vol. 104, Issue 21
Phase-dependent effects in bichromatic high-order harmonic generation
journal, May 2000
- Figueira de Morisson Faria, C.; Milošević, D. B.; Paulus, G. G.
- Physical Review A, Vol. 61, Issue 6
Control of the polarization of attosecond pulses using a two-color field
journal, November 2009
- Ruiz, Camilo; Hoffmann, David J.; Torres, Ricardo
- New Journal of Physics, Vol. 11, Issue 11
Strong-field ionization with two-color circularly polarized laser fields
journal, March 2015
- Mancuso, Christopher A.; Hickstein, Daniel D.; Grychtol, Patrik
- Physical Review A, Vol. 91, Issue 3
A table-top ultrashort light source in the extreme ultraviolet for circular dichroism experiments
journal, December 2014
- Ferré, A.; Handschin, C.; Dumergue, M.
- Nature Photonics, Vol. 9, Issue 2
High-Order Harmonic Generation in Intense Laser and Magnetic Fields
journal, July 1995
- Zuo, T.; Bandrauk, A. D.
- Journal of Nonlinear Optical Physics & Materials, Vol. 04, Issue 03
The attosecond nonlinear optics of bright coherent X-ray generation
journal, November 2010
- Popmintchev, Tenio; Chen, Ming-Chang; Arpin, Paul
- Nature Photonics, Vol. 4, Issue 12
Manipulation of quantum paths for space–time characterization of attosecond pulses
journal, January 2013
- Kim, Kyung Taec; Zhang, Chunmei; Shiner, Andrew D.
- Nature Physics, Vol. 9, Issue 3
Polarization of high-intensity high-harmonic generation
journal, May 1995
- Weihe, F. A.; Dutta, S. K.; Korn, G.
- Physical Review A, Vol. 51, Issue 5
Role of long quantum orbits in high-order harmonic generation
journal, December 2002
- Milošević, D. B.; Becker, W.
- Physical Review A, Vol. 66, Issue 6
Theory of high-harmonic generation by low-frequency laser fields
journal, March 1994
- Lewenstein, M.; Balcou, Ph.; Ivanov, M. Yu.
- Physical Review A, Vol. 49, Issue 3
Opportunities for chiral discrimination using high harmonic generation in tailored laser fields
journal, October 2015
- Smirnova, Olga; Mairesse, Yann; Patchkovskii, Serguei
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 48, Issue 23
Real-time observation of valence electron motion
journal, August 2010
- Goulielmakis, Eleftherios; Loh, Zhi-Heng; Wirth, Adrian
- Nature, Vol. 466, Issue 7307
Phase matching of high harmonic generation in the soft and hard X-ray regions of the spectrum
journal, June 2009
- Popmintchev, T.; Chen, M. -C.; Bahabad, A.
- Proceedings of the National Academy of Sciences, Vol. 106, Issue 26
High contrast 3D imaging of surfaces near the wavelength limit using tabletop EUV ptychography
journal, November 2015
- Zhang, Bosheng; Gardner, Dennis F.; Seaberg, Matthew D.
- Ultramicroscopy, Vol. 158
Polarization gating and circularly-polarized high harmonic generation using plasmonic enhancement in metal nanostructures
journal, January 2011
- Husakou, A.; Kelkensberg, F.; Herrmann, J.
- Optics Express, Vol. 19, Issue 25
Attosecond spectroscopy in condensed matter
journal, October 2007
- Cavalieri, A. L.; Müller, N.; Uphues, Th.
- Nature, Vol. 449, Issue 7165
Coupled-Wave Solution of Harmonic Generation in an Optically Active Medium
journal, October 1967
- Bey, Paul P.; Rabin, Herbert
- Physical Review, Vol. 162, Issue 3
Ultrahigh 22 nm resolution coherent diffractive imaging using a desktop 13 nm high harmonic source
journal, January 2011
- Seaberg, Matthew D.; Adams, Daniel E.; Townsend, Ethan L.
- Optics Express, Vol. 19, Issue 23
Elliptically Polarized High-Order Harmonic Emission from Molecules in Linearly Polarized Laser Fields
journal, February 2009
- Zhou, Xibin; Lock, Robynne; Wagner, Nick
- Physical Review Letters, Vol. 102, Issue 7
Probing Proton Dynamics in Molecules on an Attosecond Time Scale
journal, March 2006
- Baker, S.; Robinson, J. S.; Haworth, C. A.
- Science, Vol. 312, Issue 5772
Bright circularly polarized soft X-ray high harmonics for X-ray magnetic circular dichroism
journal, November 2015
- Fan, Tingting; Grychtol, Patrik; Knut, Ronny
- Proceedings of the National Academy of Sciences, Vol. 112, Issue 46
Measuring and controlling the birth of attosecond XUV pulses
journal, October 2006
- Dudovich, N.; Smirnova, O.; Levesque, J.
- Nature Physics, Vol. 2, Issue 11
Generation of high-order harmonics with controllable elliptical polarization
journal, January 2013
- Fleischer, Avner; Sidorenko, Pavel; Cohen, Oren
- Optics Letters, Vol. 38, Issue 2
Spin angular momentum and tunable polarization in high-harmonic generation
journal, June 2014
- Fleischer, Avner; Kfir, Ofer; Diskin, Tzvi
- Nature Photonics, Vol. 8, Issue 7
Unified Microscopic-Macroscopic Formulation of High-Order Difference-Frequency Mixing in Plasmas
journal, January 2007
- Cohen, Oren; Popmintchev, Tenio; Gaudiosi, David M.
- Physical Review Letters, Vol. 98, Issue 4
Analytic description of high-order harmonic generation by atoms in a two-color laser field
journal, June 2010
- Frolov, M. V.; Manakov, N. L.; Silaev, A. A.
- Physical Review A, Vol. 81, Issue 6
Generation of elliptically polarized attosecond pulse trains
journal, January 2015
- Milošević, Dejan B.
- Optics Letters, Vol. 40, Issue 10
Plasma perspective on strong field multiphoton ionization
journal, September 1993
- Corkum, P. B.
- Physical Review Letters, Vol. 71, Issue 13
Generating Isolated Elliptically Polarized Attosecond Pulses Using Bichromatic Counterrotating Circularly Polarized Laser Fields
journal, October 2015
- Medišauskas, Lukas; Wragg, Jack; van der Hart, Hugo
- Physical Review Letters, Vol. 115, Issue 15
High resolution atomic core level spectroscopy with laser harmonics
journal, August 1994
- Haight, R.; Seidler, P. F.
- Applied Physics Letters, Vol. 65, Issue 5
Model calculations of polarization-dependent two-color high-harmonic generation
journal, September 1995
- Long, S.; Becker, W.; McIver, J. K.
- Physical Review A, Vol. 52, Issue 3
Probing molecular chirality on a sub-femtosecond timescale
journal, June 2015
- Cireasa, R.; Boguslavskiy, A. E.; Pons, B.
- Nature Physics, Vol. 11, Issue 8
Spectral caustics in attosecond science
journal, February 2012
- Raz, O.; Pedatzur, O.; Bruner, B. D.
- Nature Photonics, Vol. 6, Issue 3
Generation of circularly polarized high-order harmonics by two-color coplanar field mixing
journal, May 2000
- Milošević, Dejan B.; Becker, Wilhelm; Kopold, Richard
- Physical Review A, Vol. 61, Issue 6
Towards enabling femtosecond helicity-dependent spectroscopy with high-harmonic sources
journal, February 2015
- Lambert, G.; Vodungbo, B.; Gautier, J.
- Nature Communications, Vol. 6, Issue 1
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