Polarization Angle Effect on High-Order Harmonic Generation in an Inhomogeneous Two-Color Laser Field
Abstract
Theoretical investigation of the effect of the polarization angle on high-order harmonic generation in an inhomogeneous two-color field is reported. The results show that the use of two-color fields greatly enhanced the harmonic cutoff point in comparison with the one-color field from 70th to 90th orders in a homogeneous field. In addition, the introduction of an inhomogeneity parameter of 0.003 generated a broad supercontinuum of approximately 270 orders. However, an increase in the polarization angle adversely affected the harmonic cutoff.
Keywords
Full Text:
PDFReferences
1 Ciappina, M.F., et al., Attosecond physics at the nanoscale. Reports on Progress in Physics, 2017. 80(5): p. 50.
2 Batani, D., et al., Atoms, solids, and plasmas in super-intense laser fields. 2012: Springer Science & Business Media.
3 Wang, Q. and Zhang, H.L. eds., Two-dimensional Materials for Nonlinear Optics: Fundamentals, Preparation Methods, and Applications. 2023: John Wiley & Sons.
4 Finke, O., Vábek, J., Nevrkla, M. et al. Phase-matched high-order harmonic generation in pre-ionized noble gases.2022 Sci Rep 12, 7715. https://doi.org/10.1038/s41598-022-11313-6
5 Teichmann, S.M., et al., 0.5-keV Soft X-ray attosecond continua. Nature Communications, 2016. 7.
6 Zijuan W., Xize G., Xiangyu M., Zhengyan L., Qingbin Z., Pengfei L., and Peixiang L.. High Harmonic Extreme Ultraviolet Light Source with High Repetition Rate and Power. Chinese Journal of Lasers, 2024, 51(7): 0701001
7 Krausz, F. and M. Ivanov, Attosecond physics. Reviews of Modern Physics, 2009. 81(1): p. 163-234.
8 Reinhard, J.; Wiesner, F.; Sidiropoulos, T.; Hennecke, M.; Kaleta, S.; Späthe, J.; Abel, J. J.; Wünsche, M.; Schmidl, G.; Plentz, J.; Hübner, U.; Freiberg, K.; Apell, J.; Lippmann, S.; Schnürer, M.; Eisebitt, S.; Paulus, G. G.; Fuchs, S. Soft X-Ray Imaging with Coherence Tomography in the Water Window Spectral Range Using High-Harmonic Generation. arXiv 2025. https://doi.org/10.48550/ARXIV.2503.04276.
9 Corkum, P.B.J.P.R.L., Plasma perspective on strong field multiphoton ionization. 1993. 71(13): p. 1994.
10 Johnson A. S., Avni T., Larsen E. W., Austin D. R. and Marangos J. P. Attosecond soft X-ray high harmonic generation. 2019. Phil. Trans. R. Soc. A.37720170468. http://doi.org/10.1098/rsta.2017.0468
11 Hong, W., et al., Method to generate directly a broadband isolated attosecond pulse with stable pulse duration and high signal-to-noise ratio. Physical Review A, 2008. 78(6).
12 Brugnera, L., et al., Trajectory Selection in High Harmonic Generation by Controlling the Phase between Orthogonal Two-Color Fields. Physical Review Letters, 2011. 107(15).
13 Hutchison, C., et al., Electron trajectory control of odd and even order harmonics in high harmonic generation using an orthogonally polarised second harmonic field. Journal of Modern Optics, 2014. 61(7): p. 608-614.
14 Yuan, H., et al., Generation of isolated attosecond pulses in a multi-cycle inhomogeneous two-color field without CEP stabilization. Optical and Quantum Electronics, 2017. 49(6).
15 Piccoli, R., Brown, J.M., Jeong, YG. et al. Intense few-cycle visible pulses directly generated via nonlinear fibre mode mixing. 2021. Nat. Photon. 15, 884–889. https://doi.org/10.1038/s41566-021-00888-7.
16 Essen, P., Keijzer, B., Horen, T., Molinero, E., Galán, Á., Silva, R., and Kraus, P. Spatial polarization gating of high-harmonic generation in solids. 2024. 10.48550/arXiv.2409.02535.
17 Roscam Abbing, S.D.C., Kuzkova, N., van der Linden, R. et al. Enhancing the efficiency of high-order harmonics with two-color non-collinear wave mixing in silica. 2024. Nat Commun 15, 8335. https://doi.org/10.1038/s41467-024-52774-9
18 Hai-Yan, S., Ai-Yuan, H., Guang-Xian, X., and Chang-Long, X. The enhancement of high-order-harmonic generation in two-color laser field in fibonacci quasicrystals. 2025. Optics Communications, 591, 132135. https://doi.org/10.1016/j.optcom.2025.132135.
19 Navarrete, F., and Thumm, U. Two-color-driven enhanced high-order harmonic generation in solids. 2020. Phys. Rev. A 102 (6) 063123. https://link.aps.org/doi/10.1103/PhysRevA.102.063123.
20 Feng, L., M. Yuan, and T. Chu, Attosecond x-ray source generation from two-color polarized gating plasmonic field enhancement. Physics of Plasmas, 2013. 20(12).
21 Njoroge, S.M., et al., Control of the polarization direction of isolated attosecond pulses using inhomogeneous two-color fields. Scientific Reports, 2019. 9(1): p. 18582.
22 Petrakis, S., Bakarezos, M., Tatarakis, M. et al. Electron quantum path control in high harmonic generation via chirp variation of strong laser pulses. 2021. Sci Rep 11, 23882. https://doi.org/10.1038/s41598-021-03424-3
23 Liu, H., Wang, Y., Zhou, S. et al. Chirp duration effect on high-order harmonic spectra. 2021. Eur. Phys. J. D 75, 292. https://doi.org/10.1140/epjd/s10053-021-00302-5
24 Chenyang. C., Yingchun. G.,and Bingbing. W. Understanding Effects of Static Electric-field on High-order Harmonic Generation of O2 Molecules. 2024. Acta Photonica Sinica. 53(6): 0653205
25 Bánhegyi, B., Tóth, L., Dombi, P. et al. Controlling Plasmonic Field Enhancement via the Interference of Orthogonal Plasmonic Modes. 2024. Plasmonics 19, 2953–2960. https://doi.org/10.1007/s11468-024-02212-9
26 Shaaran, T., M.F. Ciappina, and M. Lewenstein, Quantum-orbit analysis of high-order-harmonic generation by resonant plasmon field enhancement. Physical Review A, 2012. 86(2).
27 Hu Q, Yang K, Li Q, Sun J, Ding Z. Plasmon-Enhanced High-Order Harmonic Generation of Open-Ended Finite-Sized Carbon Nanotubes with Vacancy Defects. 2024. Crystals. 14(2):115. https://doi.org/10.3390/cryst14020115
28 Wu, X., Liang, H., Kong, X., Gong, Q. and Peng, L. Enhancement of high-order harmonic generation in two-dimensional materials by plasmonic fields. 2021. Phys. Rev. A 103 (4) 043117. https://link.aps.org/doi/10.1103/PhysRevA.103.043117
29 Ciappina, M.F., et al., Attosecond physics at the nanoscale. Reports on Progress in Physics, 2017. 80(5).
30 Kim, S., et al., High-harmonic generation by resonant plasmon field enhancement. Nature, 2008. 453(7196): p. 757-60.
31 Han S. Gold-sapphire Plasmonic Nanostructures for Coherent Extreme-ultraviolet Pulse Generation. 2022. Curr. Opt. Photon. 6:576-582. https://doi.org/10.3807/COPP.2022.6.6.576
32 Park, D. J., & Ahn, Y. H. Ultrashort field emission in metallic nanostructures and low-dimensional carbon materials. 2020. Advances in Physics: X, 5(1), 1726207.
33 Kim, S., et al., Kim et al. reply. 2012. 485(7397): p. E1.
34 Vismarra, F., Fernández-Galán, M., Mocci, D. et al. Isolated attosecond pulse generation in a semi-infinite gas cell driven by time-gated phase matching. 2024. Light Sci Appl 13, 197. https://doi.org/10.1038/s41377-024-01564-5
35 Lv W, Wang F, Gao C. An Effective Method for Generating Isolated Attosecond Pulses from a Solid Crystal Film. 2024. Photonics. 11(12):1154. https://doi.org/10.3390/photonics11121154
36 Zhang, S. W., Xiao-Xin H., Yun-He X., Feng W., and Xue-Shen L. Generation of ellipticity-tunable isolated attosecond pulses from diatomic molecules in intense laser fields. 2023. Optics Communications. 530. 129152. https://doi.org/10.1016/j.optcom.2022.129152
37 Huang, P.-C., et al., Polarization control of isolated high-harmonic pulses. Nature Photonics, 2018. 12(6): p. 349-354.
38 Xia, C.-L. and X.-Y. Miao, Generation of Linear Isolated Sub-60 Attosecond Pulses by Combining a Circularly Polarized Pulse with an Elliptically Polarized Pulse. Chinese Physics Letters, 2015. 32(4).
39 Li, M.Z., Xu, Y., Jia, G.R. and Bian, X. B. Controlling polarization of high-order harmonic generation by molecular alignment in a bicircular laser field. 2019. Phys. Rev. A. 100 (3) 033410. https://link.aps.org/doi/10.1103/PhysRevA.100.033410
40 Yavuz, I., et al., Generation of a broadband xuv continuum in high-order-harmonic generation by spatially inhomogeneous fields. Physical Review A, 2012. 85(1).
41 Perez-Hernandez, J.A., et al., Beyond Carbon K-Edge Harmonic Emission Using a Spatial and Temporal Synthesized Laser Field. Physical Review Letters, 2013. 110(5).
42 Feit, M.D., J.A. Fleck, and A. Steiger, Solution of the Schrödinger equation by a spectral method. Journal of Computational Physics, 1982. 47(3): p. 412-433.
43 de Bohan, A., et al., Phase-dependent harmonic emission with ultrashort laser pulses. J Physical review letters, 1998. 81(9): p. 1837.
44 Carrera, J.J., X.-M. Tong, and S.-I.J.P.R.A.A. Chu, Molecular,, Creation and control of a single coherent attosecond xuv pulse by few-cycle intense laser pulses. J Physical Review A—Atomic, Molecular, Optical Physics, 2006. 74(2): p. 023404.
45 Yu, C., H. Iravani, and L.B. Madsen, Crystal-momentum-resolved contributions to multiple plateaus of high-order harmonic generation from band-gap materials. Physical Review A, 2020. 102(3): p. 033105.
46 Ngoko Djiokap, J.M. and A.F. Starace, Origin of the multiphoton-regime harmonic-generation plateau structure. Physical Review A, 2020. 102(1): p. 013103.
Refbacks
- There are currently no refbacks.
