Abstract
Circularly polarized sources of radiation play a vital role in photoelectron circular dichroism and magnetic circular dichroism experiments. While circularly polarized radiation can be routinely generated in the visible domain of the electromagnetic spectrum due to the availability of laser sources and optics in this range, generation of circularly polarized radiation in the extreme ultraviolet (XUV) domain is challenging and, using table-top sources it is currently limited to high harmonic generation from gases using bi-circular, complicated two-source and/or interferometry arrangement. In this work, being fueled by recent development of high harmonic generation and spectroscopy of solids, we demonstrate the generation of circularly polarized extreme ultraviolet light using interaction of intense circularly polarized drivers. The simplicity of our experimental setup enables rapid application of circularly polarized XUV light in circular dichroism experiments.
Similar content being viewed by others
References
S. Ghimire, A.D. DiChiara, E. Sistrunk, P. Agostini, L.F. DiMauro, D.A. Reis, Observation of high-order harmonic generation in a bulk crystal. Nat. Phys. 7(2), 138–141 (2011)
O. Schubert, M. Hohenleutner, F. Langer, B. Urbanek, C. Lange, U. Huttner, D. Golde, T. Meier, M. Kira, S.W. Koch, R. Huber, Sub-cycle control of terahertz high-harmonic generation by dynamical Bloch oscillations. Nat. Photonics 8(2), 119–123 (2014)
T.T. Luu, M. Garg, S. Yu Kruchinin, A. Moulet, MTh. Hassan, E. Goulielmakis, Extreme ultraviolet high-harmonic spectroscopy of solids. Nature 521(7553), 498–502 (2015)
G. Vampa, C.R. McDonald, G. Orlando, D.D. Klug, P.B. Corkum, T. Brabec, Theoretical analysis of high-harmonic generation in solids. Phys. Rev. Lett. 113(7), 1–5 (2014)
G. Vampa, B G. Ghamsari, S. Siadat Mousavi, T J. Hammond, A. Olivieri, E. Lisicka-Skrek, A. Yu Naumov, D.M. Villeneuve, A. Staudte, P. Berini, P.B. Corkum, Plasmon-enhanced high-harmonic generation from silicon. Nat. Phys. 13(7), 659–662 (2017)
G. Vampa, T.J. Hammond, M. Taucer, X. Ding, X. Ropagnol, T. Ozaki, S. Delprat, M. Chaker, N. Thiré, B.E. Schmidt, F. Légaré, D.D. Klug, A.Y. Naumov, D.M. Villeneuve, A. Staudte, P.B. Corkum, Strong-field optoelectronics in solids. Nat. Photonics 12(8), 465–468 (2018)
N. Yoshikawa, T. Tamaya, K. Tanaka, High-harmonic generation in graphene enhanced by elliptically polarized light excitation. Science 356(6339), 736 LP–738 (2017)
M. Garg, M. Zhan, T.T. Luu, H. Lakhotia, T. Klostermann, A. Guggenmos, E. Goulielmakis, Multi-petahertz electronic metrology. Nature 538(7625), 359–363 (2016)
M. Garg, H.Y. Kim, E. Goulielmakis, Ultimate waveform reproducibility of extreme ultraviolet pulses by high harmonic generation in bulk dielectrics. Nat. Photonics, 1–13 (2018)
H. Lakhotia, H.Y. Kim, M. Zhan, S. Hu, S. Meng, E. Goulielmakis, Laser picoscopy of valence electrons in solids. Nature 583(7814), 55–59 (2020)
G. Ndabashimiye, S. Ghimire, M. Wu, D.A. Browne, K.J. Schafer, M.B. Gaarde, D.A. Reis, Solid-state harmonics beyond the atomic limit. Nature 534(7608), 520–523 (2016)
Y.S. You, D.A. Reis, S. Ghimire, Anisotropic high-harmonic generation in bulk crystals. Nat. Phys. 13(4), 345–349 (2017)
H. Liu, Y. Li, Y.S. You, S. Ghimire, T.F. Heinz, D.A. Reis, High-harmonic generation from an atomically thin semiconductor. Nat. Phys. 13(3), 262–265 (2017)
Y. Yang, J. Lu, A. Manjavacas, T.S. Luk, H. Liu, K. Kelley, J.-P. Maria, E.L. Runnerstrom, M.B. Sinclair, S. Ghimire, I. Brener, High-harmonic generation from an epsilon-near-zero material. Nat. Phys. 15(October) (2019)
H.A. Hafez, S. Kovalev, J.-C. Deinert, Z. Mics, B. Green, N. Awari, M. Chen, S. Germanskiy, U. Lehnert, J. Teichert, Z. Wang, K.-J. Tielrooij, Z. Liu, Z. Chen, A. Narita, K. Müllen, M. Bonn, M. Gensch, D. Turchinovich, Extremely efficient terahertz high-harmonic generation in graphene by hot Dirac fermions. Nature 561(7724), 507–511 (2018)
M. Sivis, M. Taucer, G. Vampa, K. Johnston, A. Staudte, A.Y. Naumov, D.M. Villeneuve, C. Ropers, P.B. Corkum, Tailored semiconductors for high-harmonic optoelectronics. Science 357(6348), 303–306 (2017)
R.E.F. Silva, I.V. Blinov, A.N. Rubtsov, O. Smirnova, M. Ivanov, High-harmonic spectroscopy of ultrafast many-body dynamics in strongly correlated systems. Nat. Photonics 12(5), 266–270 (2018)
J. Lu, E.F. Cunningham, Y.S. You, D.A. Reis, S. Ghimire, Interferometry of dipole phase in high harmonics from solids. Nat. Photonics 13(2), 96–100 (2019)
S. Jiang, J. Chen, H. Wei, C. Yu, R. Lu, C.D. Lin, Role of the transition dipole amplitude and phase on the generation of odd and even high-order harmonics in crystals. Phys. Rev. Lett. 120(25), 253201 (2018)
J. Liu, X. Bian, Effect of electron-electron interactions on high-order harmonic generation in crystals. Phys. Rev. B 102(17), 174302 (2020)
Y.S. You, J. Lu, E.F. Cunningham, C. Roedel, S. Ghimire, Crystal orientation-dependent polarization state of high-order harmonics. Opt. Lett. 44(3), 530–533 (2019)
J. Li, J. Lu, A. Chew, S. Han, J. Li, Y. Wu, H. Wang, S. Ghimire, Z. Chang, Attosecond science based on high harmonic generation from gases and solids. Nat. Commun. 11(1), 2748 (2020)
S. Ghimire, D.A. Reis, High-harmonic generation from solids. Nat. Phys. 15(1), 10–16 (2019)
A. Ferré, C. Handschin, M. Dumergue, F. Burgy, A. Comby, D. Descamps, B. Fabre, G.A. Garcia, R. Géneaux, L. Merceron, E. Mével, L. Nahon, S. Petit, B. Pons, D. Staedter, S. Weber, T. Ruchon, V. Blanchet, Y. Mairesse, A table-top ultrashort light source in the extreme ultraviolet for circular dichroism experiments. Nat. Photonics 9(2), 93–98 (2015)
D. Azoury, O. Kneller, M. Krüger, B.D. Bruner, O. Cohen, Y. Mairesse, N. Dudovich, Interferometric attosecond lock-in measurement of extreme-ultraviolet circular dichroism. Nat. Photonics 13(3), 198–204 (2019)
N. Saito, P. Xia, F. Lu, T. Kanai, J. Itatani, N. Ishii, Observation of selection rules for circularly polarized fields in high-harmonic generation from a crystalline solid. Optica 4(11), 1333 (2017)
C.L. Tang, H. Rabin, Selection rules for circularly polarized waves in nonlinear optics. Phys. Rev. B 3(12), 4025–4034 (1971)
S. Bhagavantam, P. Chandrasekhar, Harmonic generation and selection rules in nonlinear optics. Proc. Indian Acad. Sci. Sect. A 76(1), 13–20 (1972)
O.E. Alon, V. Averbukh, N. Moiseyev, Selection rules for the high harmonic generation spectra. Phys. Rev. Lett. 80(17), 3743–3746 (1998)
N. Moiseyev, Selection rules for harmonic generation in solids. Phys. Rev. A At. Mol. Opt. Phys. 91(5), 1–5 (2015)
Y.S. You, Y. Yin, Y. Wu, A. Chew, X. Ren, F. Zhuang, S. Gholam-Mirzaei, M. Chini, Z. Chang, S. Ghimire, High-harmonic generation in amorphous solids. Nat. Commun. 8(1), 724 (2017)
U. Huttner, M. Kira, S.W. Koch, Ultrahigh off-resonant field effects in semiconductors. Laser Photonics Rev. 11(4), 1700049 (2017)
T.T. Luu, H.J. Wörner, Measurement of the Berry curvature of solids using high-harmonic spectroscopy. Nat. Commun. 9(1), 916 (2018)
T.T. Luu, V. Scagnoli, S. Saha, L.J. Heyderman, H.J. Wörner, Generation of coherent extreme ultraviolet radiation from \(\alpha \)-quartz using 50 fs laser pulses at a 1030 nm wavelength and high repetition rates. Opt. Lett. 43(8), 1790 (2018)
T.T. Luu, H.J. Wörner, Observing broken inversion symmetry in solids using two-color high-order harmonic spectroscopy. Phys. Rev. A 98(4), 041802 (2018)
Acknowledgements
We gratefully acknowledge funding from ETH Zürich, the Swiss National Science Foundation through the NCCR-MUST, the ETH Zurich Postdoctoral Fellowship Program (FEL-31 15-2), the Marie Curie Actions for People COFUND Program, and the RGC ECS (27300820) grant.
Author information
Authors and Affiliations
Contributions
HJW and TTL conceived and designed the experiments. TTL carried out the experiments, performed the analyses and calculations. HJW and TTL discussed the results and wrote the manuscript.
Corresponding author
Rights and permissions
About this article
Cite this article
Luu, T.T., Wörner, H.J. Generation of circularly polarized extreme-ultraviolet harmonics from solids. Eur. Phys. J. Spec. Top. 230, 4057–4063 (2021). https://doi.org/10.1140/epjs/s11734-021-00278-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjs/s11734-021-00278-8