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

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

doi:10.1088/0953-4075/49/12/123501

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

Journal Article · Mon May 23 00:00:00 EDT 2016 · Journal of Physics. B, Atomic, Molecular and Optical Physics

DOI:https://doi.org/10.1088/0953-4075/49/12/123501· OSTI ID:1254065

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

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.

View Journal Article

Cite

Export

Save

Research Organization:: Univ. of Colorado, Boulder, CO (United States)

Sponsoring Organization:: 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)

Grant/Contract Number:: SC0002002; 225/14

OSTI ID:: 1254065

Alternate ID(s):: OSTI ID: 1254067; OSTI ID: 1435718; OSTI ID: 1681041

Journal Information:: Journal of Physics. B, Atomic, Molecular and Optical Physics, Journal Name: Journal of Physics. B, Atomic, Molecular and Optical Physics Vol. 49 Journal Issue: 12; ISSN 0953-4075

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United Kingdom

Language:: English

Citation Metrics:

Cited by: 37 works

Citation information provided by
Web of Science

References (68)

Origin for Ellipticity of High-Order Harmonics Generated in Atomic Gases and the Sublaser-Cycle Evolution of Harmonic Polarization Strelkov, V. V.; Gonoskov, A. A.; Gonoskov, I. A. Physical Review Letters, Vol. 107, Issue 4 https://doi.org/10.1103/PhysRevLett.107.043902	journal	July 2011
Direct Observation of Surface Chemistry Using Ultrafast Soft-X-Ray Pulses Bauer, M.; Lei, C.; Read, K. Physical Review Letters, Vol. 87, Issue 2 https://doi.org/10.1103/PhysRevLett.87.025501	journal	June 2001
Polarization of high-order harmonics Antoine, Philippe; Carré, Bertrand; L'Huillier, Anne Physical Review A, Vol. 55, Issue 2 https://doi.org/10.1103/PhysRevA.55.1314	journal	February 1997
Generation of bright phase-matched circularly-polarized extreme ultraviolet high harmonics Kfir, Ofer; Grychtol, Patrik; Turgut, Emrah Nature Photonics, Vol. 9, Issue 2 https://doi.org/10.1038/nphoton.2014.293	journal	December 2014
Time-Resolved Dynamics in N2O4 Probed Using High Harmonic Generation Li, W.; Zhou, X.; Lock, R. Science, Vol. 322, Issue 5905 https://doi.org/10.1126/science.1163077	journal	November 2008
Selection Rules for the High Harmonic Generation Spectra Alon, Ofir E.; Averbukh, Vitali; Moiseyev, Nimrod Physical Review Letters, Vol. 80, Issue 17 https://doi.org/10.1103/PhysRevLett.80.3743	journal	April 1998
Beyond crystallography: Diffractive imaging using coherent x-ray light sources Miao, J.; Ishikawa, T.; Robinson, I. K. Science, Vol. 348, Issue 6234 https://doi.org/10.1126/science.aaa1394	journal	April 2015
Generation of higher-order harmonics upon the addition of high-frequency XUV radiation to IR radiation: Generalization of the three-step model Fleischer, Avner Physical Review A, Vol. 78, Issue 5 https://doi.org/10.1103/PhysRevA.78.053413	journal	November 2008
Lensless Diffractive Imaging Using Tabletop Coherent High-Harmonic Soft-X-Ray Beams Sandberg, Richard L.; Paul, Ariel; Raymondson, Daisy A. Physical Review Letters, Vol. 99, Issue 9 https://doi.org/10.1103/PhysRevLett.99.098103	journal	August 2007
Optical rotation quasi-phase-matching for circularly polarized high harmonic generation Liu, Lewis Z.; O’Keeffe, Kevin; Hooker, Simon M. Optics Letters, Vol. 37, Issue 12 https://doi.org/10.1364/OL.37.002415	journal	January 2012
Tomographic reconstruction of circularly polarized high-harmonic fields: 3D attosecond metrology Chen, Cong; Tao, Zhensheng; Hernández-García, Carlos Science Advances, Vol. 2, Issue 2 https://doi.org/10.1126/sciadv.1501333	journal	February 2016
High-Order Harmonics of Bichromatic Counter-Rotating Elliptically-Polarized Drivers: Fully Controlled Polarization State and Novel Selection Rules Fleischer, Avner; Sidorenko, Pavel; Cohen, Oren CLEO: QELS_Fundamental Science, CLEO: 2013 https://doi.org/10.1364/CLEO_QELS.2013.QW1A.6	conference	January 2013
Non-collinear generation of angularly isolated circularly polarized high harmonics Hickstein, Daniel D.; Dollar, Franklin J.; Grychtol, Patrik Nature Photonics, Vol. 9, Issue 11 https://doi.org/10.1038/nphoton.2015.181	journal	September 2015
Quantum path selection in high-harmonic generation by a phase-locked two-color field Ishii, N.; Kosuge, A.; Hayashi, T. Optics Express, Vol. 16, Issue 25 https://doi.org/10.1364/OE.16.020876	journal	January 2008
Polarization control of high order harmonics in the EUV photon energy range Vodungbo, Boris; Barszczak Sardinha, Anna; Gautier, Julien Optics Express, Vol. 19, Issue 5 https://doi.org/10.1364/OE.19.004346	journal	January 2011
Polarization-dependent high-order two-color mixing Eichmann, H.; Egbert, A.; Nolte, S. Physical Review A, Vol. 51, Issue 5 https://doi.org/10.1103/PhysRevA.51.R3414	journal	May 1995
Spectrally Resolved Maker Fringes in High-Order Harmonic Generation Heyl, C. M.; Güdde, J.; Höfer, U. Physical Review Letters, Vol. 107, Issue 3 https://doi.org/10.1103/PhysRevLett.107.033903	journal	July 2011
Direct Measurement of Core-Level Relaxation Dynamics on a Surface-Adsorbate System Miaja-Avila, L.; Saathoff, G.; Mathias, S. Physical Review Letters, Vol. 101, Issue 4 https://doi.org/10.1103/PhysRevLett.101.046101	journal	July 2008
Single Circularly Polarized Attosecond Pulse Generation by Intense Few Cycle Elliptically Polarized Laser Pulses and Terahertz Fields from Molecular Media Yuan, Kai-Jun; Bandrauk, André D. Physical Review Letters, Vol. 110, Issue 2 https://doi.org/10.1103/PhysRevLett.110.023003	journal	January 2013
Creating High-Harmonic Beams with Controlled Orbital Angular Momentum Gariepy, Genevieve; Leach, Jonathan; Kim, Kyung Taec Physical Review Letters, Vol. 113, Issue 15 https://doi.org/10.1103/PhysRevLett.113.153901	journal	October 2014
Probing the timescale of the exchange interaction in a ferromagnetic alloy Mathias, S.; La-O-Vorakiat, C.; Grychtol, P. Proceedings of the National Academy of Sciences, Vol. 109, Issue 13 https://doi.org/10.1073/pnas.1201371109	journal	March 2012
Attosecond pulse trains with unusual nonlinear polarization Milošević, Dejan B.; Becker, Wilhelm Physical Review A, Vol. 62, Issue 1 https://doi.org/10.1103/PhysRevA.62.011403	journal	June 2000
Controlling harmonic generation in molecules with intense laser and static magnetic fields: Orientation effects Bandrauk, André D.; Lu, HuiZhong Physical Review A, Vol. 68, Issue 4 https://doi.org/10.1103/PhysRevA.68.043408	journal	October 2003
A new regime of nanoscale thermal transport: Collective diffusion increases dissipation efficiency Hoogeboom-Pot, Kathleen M.; Hernandez-Charpak, Jorge N.; Gu, Xiaokun Proceedings of the National Academy of Sciences, Vol. 112, Issue 16 https://doi.org/10.1073/pnas.1503449112	journal	March 2015
Generation of circularly polarized attosecond pulses by intense ultrashort laser pulses from extended asymmetric molecular ions Yuan, Kai-Jun; Bandrauk, André D. Physical Review A, Vol. 84, Issue 2 https://doi.org/10.1103/PhysRevA.84.023410	journal	August 2011
Two-Color Phase Control in Tunneling Ionization and Harmonic Generation by a Strong Laser Field and Its Third Harmonic Watanabe, S.; Kondo, K.; Nabekawa, Y. Physical Review Letters, Vol. 73, Issue 20 https://doi.org/10.1103/PhysRevLett.73.2692	journal	November 1994
Tomographic imaging of molecular orbitals Itatani, J.; Levesque, J.; Zeidler, D. Nature, Vol. 432, Issue 7019 https://doi.org/10.1038/nature03183	journal	December 2004
Dependence of high-order-harmonic-generation yield on driving-laser ellipticity Möller, Max; Cheng, Yan; Khan, Sabih D. Physical Review A, Vol. 86, Issue 1 https://doi.org/10.1103/PhysRevA.86.011401	journal	July 2012
High-order harmonic amplitude modulation in two-colour phase-controlled frequency mixing Andiel, U.; Tsakiris, G. D.; Cormier, E. Europhysics Letters (EPL), Vol. 47, Issue 1 https://doi.org/10.1209/epl/i1999-00348-5	journal	July 1999
The generation, characterization and applications of broadband isolated attosecond pulses Chini, Michael; Zhao, Kun; Chang, Zenghu Nature Photonics, Vol. 8, Issue 3 https://doi.org/10.1038/nphoton.2013.362	journal	February 2014
Circularly polarized high harmonics generated by a bicircular field from inert atomic gases in the $p$ state: A tool for exploring chirality-sensitive processes Milošević, D. B. Physical Review A, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevA.92.043827	journal	October 2015
Tunneling ionization and harmonic generation in two-color fields Kondo, K.; Kobayashi, Y.; Sagisaka, A. Journal of the Optical Society of America B, Vol. 13, Issue 2 https://doi.org/10.1364/JOSAB.13.000424	journal	January 1996
High Harmonic Spectroscopy of Multichannel Dynamics in Strong-Field Ionization Mairesse, Y.; Higuet, J.; Dudovich, N. Physical Review Letters, Vol. 104, Issue 21 https://doi.org/10.1103/PhysRevLett.104.213601	journal	May 2010
Phase-dependent effects in bichromatic high-order harmonic generation Figueira de Morisson Faria, C.; Milošević, D. B.; Paulus, G. G. Physical Review A, Vol. 61, Issue 6 https://doi.org/10.1103/PhysRevA.61.063415	journal	May 2000
Control of the polarization of attosecond pulses using a two-color field Ruiz, Camilo; Hoffmann, David J.; Torres, Ricardo New Journal of Physics, Vol. 11, Issue 11 https://doi.org/10.1088/1367-2630/11/11/113045	journal	November 2009
Strong-field ionization with two-color circularly polarized laser fields Mancuso, Christopher A.; Hickstein, Daniel D.; Grychtol, Patrik Physical Review A, Vol. 91, Issue 3 https://doi.org/10.1103/PhysRevA.91.031402	journal	March 2015
A table-top ultrashort light source in the extreme ultraviolet for circular dichroism experiments Ferré, A.; Handschin, C.; Dumergue, M. Nature Photonics, Vol. 9, Issue 2 https://doi.org/10.1038/nphoton.2014.314	journal	December 2014
High-Order Harmonic Generation in Intense Laser and Magnetic Fields Zuo, T.; Bandrauk, A. D. Journal of Nonlinear Optical Physics & Materials, Vol. 04, Issue 03 https://doi.org/10.1142/S0218863595000227	journal	July 1995
The attosecond nonlinear optics of bright coherent X-ray generation Popmintchev, Tenio; Chen, Ming-Chang; Arpin, Paul Nature Photonics, Vol. 4, Issue 12 https://doi.org/10.1038/nphoton.2010.256	journal	November 2010
Manipulation of quantum paths for space–time characterization of attosecond pulses Kim, Kyung Taec; Zhang, Chunmei; Shiner, Andrew D. Nature Physics, Vol. 9, Issue 3 https://doi.org/10.1038/nphys2525	journal	January 2013
Polarization of high-intensity high-harmonic generation Weihe, F. A.; Dutta, S. K.; Korn, G. Physical Review A, Vol. 51, Issue 5 https://doi.org/10.1103/PhysRevA.51.R3433	journal	May 1995
Role of long quantum orbits in high-order harmonic generation Milošević, D. B.; Becker, W. Physical Review A, Vol. 66, Issue 6 https://doi.org/10.1103/PhysRevA.66.063417	journal	December 2002
Theory of high-harmonic generation by low-frequency laser fields Lewenstein, M.; Balcou, Ph.; Ivanov, M. Yu. Physical Review A, Vol. 49, Issue 3 https://doi.org/10.1103/PhysRevA.49.2117	journal	March 1994
Opportunities for chiral discrimination using high harmonic generation in tailored laser fields Smirnova, Olga; Mairesse, Yann; Patchkovskii, Serguei Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 48, Issue 23 https://doi.org/10.1088/0953-4075/48/23/234005	journal	October 2015
Real-time observation of valence electron motion Goulielmakis, Eleftherios; Loh, Zhi-Heng; Wirth, Adrian Nature, Vol. 466, Issue 7307 https://doi.org/10.1038/nature09212	journal	August 2010
Phase matching of high harmonic generation in the soft and hard X-ray regions of the spectrum Popmintchev, T.; Chen, M. -C.; Bahabad, A. Proceedings of the National Academy of Sciences, Vol. 106, Issue 26 https://doi.org/10.1073/pnas.0903748106	journal	June 2009
High contrast 3D imaging of surfaces near the wavelength limit using tabletop EUV ptychography Zhang, Bosheng; Gardner, Dennis F.; Seaberg, Matthew D. Ultramicroscopy, Vol. 158 https://doi.org/10.1016/j.ultramic.2015.07.006	journal	November 2015
Polarization gating and circularly-polarized high harmonic generation using plasmonic enhancement in metal nanostructures Husakou, A.; Kelkensberg, F.; Herrmann, J. Optics Express, Vol. 19, Issue 25 https://doi.org/10.1364/OE.19.025346	journal	January 2011
Attosecond spectroscopy in condensed matter Cavalieri, A. L.; Müller, N.; Uphues, Th. Nature, Vol. 449, Issue 7165 https://doi.org/10.1038/nature06229	journal	October 2007
Coupled-Wave Solution of Harmonic Generation in an Optically Active Medium Bey, Paul P.; Rabin, Herbert Physical Review, Vol. 162, Issue 3 https://doi.org/10.1103/PhysRev.162.794	journal	October 1967
Ultrahigh 22 nm resolution coherent diffractive imaging using a desktop 13 nm high harmonic source Seaberg, Matthew D.; Adams, Daniel E.; Townsend, Ethan L. Optics Express, Vol. 19, Issue 23 https://doi.org/10.1364/OE.19.022470	journal	January 2011
Elliptically Polarized High-Order Harmonic Emission from Molecules in Linearly Polarized Laser Fields Zhou, Xibin; Lock, Robynne; Wagner, Nick Physical Review Letters, Vol. 102, Issue 7 https://doi.org/10.1103/PhysRevLett.102.073902	journal	February 2009
Probing Proton Dynamics in Molecules on an Attosecond Time Scale Baker, S.; Robinson, J. S.; Haworth, C. A. Science, Vol. 312, Issue 5772 https://doi.org/10.1126/science.1123904	journal	March 2006
Bright circularly polarized soft X-ray high harmonics for X-ray magnetic circular dichroism Fan, Tingting; Grychtol, Patrik; Knut, Ronny Proceedings of the National Academy of Sciences, Vol. 112, Issue 46 https://doi.org/10.1073/pnas.1519666112	journal	November 2015
Measuring and controlling the birth of attosecond XUV pulses Dudovich, N.; Smirnova, O.; Levesque, J. Nature Physics, Vol. 2, Issue 11 https://doi.org/10.1038/nphys434	journal	October 2006
Generation of high-order harmonics with controllable elliptical polarization Fleischer, Avner; Sidorenko, Pavel; Cohen, Oren Optics Letters, Vol. 38, Issue 2 https://doi.org/10.1364/OL.38.000223	journal	January 2013
Spin angular momentum and tunable polarization in high-harmonic generation Fleischer, Avner; Kfir, Ofer; Diskin, Tzvi Nature Photonics, Vol. 8, Issue 7 https://doi.org/10.1038/nphoton.2014.108	journal	June 2014
Unified Microscopic-Macroscopic Formulation of High-Order Difference-Frequency Mixing in Plasmas Cohen, Oren; Popmintchev, Tenio; Gaudiosi, David M. Physical Review Letters, Vol. 98, Issue 4 https://doi.org/10.1103/PhysRevLett.98.043903	journal	January 2007
Analytic description of high-order harmonic generation by atoms in a two-color laser field Frolov, M. V.; Manakov, N. L.; Silaev, A. A. Physical Review A, Vol. 81, Issue 6 https://doi.org/10.1103/PhysRevA.81.063407	journal	June 2010
Generation of elliptically polarized attosecond pulse trains Milošević, Dejan B. Optics Letters, Vol. 40, Issue 10 https://doi.org/10.1364/OL.40.002381	journal	January 2015
Plasma perspective on strong field multiphoton ionization Corkum, P. B. Physical Review Letters, Vol. 71, Issue 13 https://doi.org/10.1103/PhysRevLett.71.1994	journal	September 1993
Generating Isolated Elliptically Polarized Attosecond Pulses Using Bichromatic Counterrotating Circularly Polarized Laser Fields Medišauskas, Lukas; Wragg, Jack; van der Hart, Hugo Physical Review Letters, Vol. 115, Issue 15 https://doi.org/10.1103/PhysRevLett.115.153001	journal	October 2015
High resolution atomic core level spectroscopy with laser harmonics Haight, R.; Seidler, P. F. Applied Physics Letters, Vol. 65, Issue 5 https://doi.org/10.1063/1.112283	journal	August 1994
Model calculations of polarization-dependent two-color high-harmonic generation Long, S.; Becker, W.; McIver, J. K. Physical Review A, Vol. 52, Issue 3 https://doi.org/10.1103/PhysRevA.52.2262	journal	September 1995
Probing molecular chirality on a sub-femtosecond timescale Cireasa, R.; Boguslavskiy, A. E.; Pons, B. Nature Physics, Vol. 11, Issue 8 https://doi.org/10.1038/nphys3369	journal	June 2015
Spectral caustics in attosecond science Raz, O.; Pedatzur, O.; Bruner, B. D. Nature Photonics, Vol. 6, Issue 3 https://doi.org/10.1038/nphoton.2011.353	journal	February 2012
Generation of circularly polarized high-order harmonics by two-color coplanar field mixing Milošević, Dejan B.; Becker, Wilhelm; Kopold, Richard Physical Review A, Vol. 61, Issue 6 https://doi.org/10.1103/PhysRevA.61.063403	journal	May 2000
Towards enabling femtosecond helicity-dependent spectroscopy with high-harmonic sources Lambert, G.; Vodungbo, B.; Gautier, J. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms7167	journal	February 2015

Figures / Tables (4)

Similar Records

Generation of bright phase-matched circularly-polarized extreme ultraviolet high harmonics

Journal Article · Mon Dec 08 00:00:00 EST 2014 · Nature Photonics · OSTI ID:1254065

Kfir, Ofer; Grychtol, Patrik; Turgut, Emrah; +10 more

Bright circularly polarized soft X-ray high harmonics for X-ray magnetic circular dichroism

Journal Article · Tue Nov 03 00:00:00 EST 2015 · Proceedings of the National Academy of Sciences of the United States of America · OSTI ID:1254065

Fan, Tingting; Grychtol, Patrik; Knut, Ronny; +23 more

Helicity-Selective Enhancement and Polarization Control of Attosecond High Harmonic Waveforms Driven by Bichromatic Circularly Polarized Laser Fields

Journal Article · Tue Aug 08 00:00:00 EDT 2017 · Physical Review Letters · OSTI ID:1254065

Dorney, Kevin M.; Ellis, Jennifer L.; Hernández-García, Carlos; +10 more

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
Circularly polarized high harmonic generation
phase matching
ultrafast chiral physics
attosecond pulses

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

Citation Formats

References (68)

Figures / Tables (4)

Similar Records

Related Subjects