Abstract
How to obtain the high signal intensity harmonic spectra with the single harmonic radiation path contribution becomes an important issue in the investigations of the high-order harmonic generation and attosecond science. In this paper, through the nonhomogeneous multicolor laser beams optimization, the best time-spatial laser waveforms, including the positive and negative time-spatial waveforms, to produce the harmonic spectra can be found. As a result, the harmonic plateaus with the single harmonic radiation path contribution and with the enhancement of several orders of magnitudes can be obtained, which can support the generation of the isolated pulses with the durations of 29 as. The physical mechanism behind the improvement of the harmonic spectra is given by the time-spatial profile analyses of the laser pulses and the harmonic spectra.
Funding source: Natural Science Foundation of Liaoning Province
Award Identifier / Grant number: 2019-MS-167
Funding source: Basic Research Project of Liaoning Provincial Education Department
Award Identifier / Grant number: JJL201915405
Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
Research funding: This work was supported by the Liaoning Natural Science Foundation (Grants No. 2019-MS-167) and the Basic Research Project of Liaoning Provincial Education Department (Grants No. JJL201915405).
Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
References
[1] F. Krausz and M. Ivanov, “Attosecond physics,” Rev. Mod. Phys., vol. 81, p. 163, 2009, https://doi.org/10.1103/revmodphys.81.163.Search in Google Scholar
[2] H. J. Wöner, J. B. Bertrand, D. V. Kartashov, P. B. Corkum, and D. M. Villeneuve, Nature, vol. 466, p. 604, 2010.10.1038/nature09185Search in Google Scholar PubMed
[3] H. Liu and A. Y. Feng, “Selection and enhancement of the single Harmonic emission event in the water window region,” Z. Naturforsch. A, vol. 73, p. 985, 2018, https://doi.org/10.1515/zna-2018-0253.Search in Google Scholar
[4] G. T. Zhang, “Intense isolated ultrashort attosecond pulse generation in a multi-cycle three-colour laser field,” Z. Naturforsch. A, vol. 69, p. 673, 2014, https://doi.org/10.5560/zna.2014-0067.Search in Google Scholar
[5] Y. T. Zhao, S. Y. Ma, S. C. Jiang, Y. J. Yang, X. Zhao, and J. G. Chen, “All-optical reconstruction of k-dependent transition dipole moment by solid harmonic spectra from ultrashort laser pulses,” Opt. Express, vol. 27, p. 34392, 2019, https://doi.org/10.1364/oe.27.034392.Search in Google Scholar PubMed
[6] Y. T. Zhao, S. C. Jiang, X. Zhao, J. G. Chen, and Y. J. Yang, “Effect of interband polarization on a solid’s high-order-harmonic generation just belowthe band gap,” Opt. Lett., vol. 45, p. 2874, 2020, https://doi.org/10.1364/ol.389787.Search in Google Scholar PubMed
[7] J. G. Chen, R. Q. Wang, Z. Zhai et al., Phys. Rev. A, vol. 86, p. 033417, 2012, https://doi.org/10.1103/physreva.86.041604.Search in Google Scholar
[8] D. Wu, F. M. Guo, J. G. Chen, et al., “Ionization of an atom with different initial angular momenta in an intense circular polarized laser field,” J. Phys. B Atom. Mol. Opt. Phys., vol. 53, p. 235601, 2020, https://doi.org/10.1088/1361-6455/abbf40.Search in Google Scholar
[9] Y. Qiao, D. Wu, J. G. Chen, et al., Phys. Rev. A, vol. 100, p. 063428, 2019.10.1103/PhysRevA.100.063428Search in Google Scholar
[10] K. J. Yuan and A. D. Bandrauk, Phys. Rev. Lett., vol. 110, p. 023003, 2013, https://doi.org/10.1103/physrevlett.110.023003.Search in Google Scholar
[11] X. B. Bian and A. D. Bandrauk, Phys. Rev. Lett., vol. 113, p. 193901, 2014, https://doi.org/10.1103/physrevlett.113.193901.Search in Google Scholar PubMed
[12] Z. W. Wang, S. C. Jiang, G. L. Yuan et al., Sci. China Phys. Mech. Astron., vol. 63, p. 257311, 2020, https://doi.org/10.1007/s11433-020-1627-4.Search in Google Scholar
[13] Y. T. Zhao, X. Q. Xu, S. C. Jiang, X. Zhao, J. G. Chen, and Y. J. Yang, Phys. Rev. A, vol. 101, p. 033413, 2020, https://doi.org/10.1103/physreva.101.033413.Search in Google Scholar
[14] P. B. Corkum, “Plasma perspective on strong field multiphoton ionization,” Phys. Rev. Lett., vol. 71, p. 1994, 1993, https://doi.org/10.1103/physrevlett.71.1994.Search in Google Scholar PubMed
[15] K. J. Schafer, B. R. Yang, L. F. DiMauro, and K. C. Kulander, “Above threshold ionization beyond the high harmonic cutoff,” Phys. Rev. Lett., vol. 70, p. 1599, 1993, https://doi.org/10.1103/physrevlett.70.1599.Search in Google Scholar
[16] H. Fattahi, H. G. Barros, M. Gorjan, et al., “Third-generation femtosecond technology,” Optica, vol. 1, p. 45, 2014, https://doi.org/10.1364/optica.1.000045.Search in Google Scholar
[17] E. Goulielmakis, M. Schultze, M. Hofstetter et al., “Single-cycle nonlinear optics,” Science, vol. 320, p. 1614, 2008, https://doi.org/10.1126/science.1157846.Search in Google Scholar PubMed
[18] Z. N. Zeng, Y. Cheng, X. H. Song, R. X. Li, and Z. Z. Xu Phys. Rev. Lett., vol. 98, p. 203901, 2007, https://doi.org/10.1103/physrevlett.98.203901.Search in Google Scholar PubMed
[19] C. L. Xia, Y. Y. Lan, Q. Q. Li, and X. Y. Miao, “Selection of right-circular-polarized harmonics from p orbital of neon atom by two-color bicircular laser fields,” Chin. Phys. B, vol. 28, p. 103203, 2019, https://doi.org/10.1088/1674-1056/ab4278.Search in Google Scholar
[20] Y. Li, L. Q. Feng, and Y. Qiao, “Selective enhancement of single-order and two-order harmonics from He atom via two-color and three-color laser fields,” Chem. Phys., vol. 527, p. 110497, 2019, https://doi.org/10.1016/j.chemphys.2019.110497.Search in Google Scholar
[21] Y. Li, R. L. Q. Feng, and Y. Qiao, “Improvement of harmonic spectra from superposition of initial state driven by homogeneous and inhomogeneous combined field,” Can. J. Phys., vol. 98, p. 198, 2020, https://doi.org/10.1139/cjp-2019-0002.Search in Google Scholar
[22] L. Li, M. Zheng, R. L. Q. Feng, and Y. Qiao, “Waveform control in generations of intense water window attosecond pulses via multi-color combined field,” Int. J. Mod. Phys. B, vol. 33, p. 1950130, 2019, https://doi.org/10.1142/s0217979219501303.Search in Google Scholar
[23] L. Q. Feng and T. S. Chu, Phys. Rev. A, vol. 84, p. 053853, 2011, https://doi.org/10.1103/physreva.84.053853.Search in Google Scholar
[24] Y. Li, L. Q. Feng, and Y. Qiao, “Improvement of high-order Harmonic generation via controlling multiple acceleration-recombination process,” Z. Naturforsch. A, vol. 74, p. 561, 2019, https://doi.org/10.1515/zna-2018-0549.Search in Google Scholar
[25] H. Yuan, F. Li, and H. Long, “Control of high-order harmonic generation with chirped inhomogeneous fields,” J. Opt. Soc. Am. B, vol. 34, p. 2390, 2017, https://doi.org/10.1364/josab.34.002390.Search in Google Scholar
[26] G. Sansone, E. Benedetti, F. Calegari et al., “Isolated single-cycle attosecond pulses,” Science, vol. 314, p. 443, 2006, https://doi.org/10.1126/science.1132838.Search in Google Scholar PubMed
[27] K. Zhao, Q. Zhang, M. Chini, Y. Wu, X. W. Wang, and Z. H. Chang, “Tailoring a 67 attosecond pulse through advantageous phase-mismatch,” Opt. Lett., vol. 37, p. 3891, 2012, https://doi.org/10.1364/ol.37.003891.Search in Google Scholar PubMed
[28] Q. B. Zhang, P. X. Lu, P. F. Lan, W. Y. Hong, and Z. Y. Yang, “Multi-cycle laser-driven broadband supercontinuum with a modulated polarization gating,” Opt. Express, vol. 16, p. 9795, 2008, https://doi.org/10.1364/oe.16.009795.Search in Google Scholar PubMed
[29] M. F. Ciappina, J. A. Pérez-Hernández, A. S. Landsman, et al., Rep. Prog. Phys., vol. 80, p. 054401, 2017, https://doi.org/10.1088/1361-6633/aa574e.Search in Google Scholar PubMed
[30] J. A. Pérez-Hernández, M. F. Ciappina, M. Lewenstein, L. Roso, and A. Zaïr, Phys. Rev. Lett., vol. 110, p. 053001, 2013, https://doi.org/10.1103/physrevlett.110.053001.Search in Google Scholar PubMed
[31] L. Q. Feng, Phys. Rev. A, vol. 92, p. 053832, 2015, https://doi.org/10.1103/physrevd.92.023535.Search in Google Scholar
[32] L. Q. Feng, W. L. Li, and H. Liu, “Electron-nuclear dynamics in molecular harmonic generation driven by a plasmonic nonhomogeneous field,” Ann. Phys. Berlin, vol. 529, p. 1700093, 2017, https://doi.org/10.1002/andp.201700093.Search in Google Scholar
[33] L. Q. Feng and T. S. Chu, IEEE J. Quant. Electron., vol. 48, p. 1462, 2012.10.1109/JQE.2012.2207948Search in Google Scholar
[34] B. N. Wang, L. X. He, F. Wang, et al., “Resonance enhanced high-order harmonic generation in H2+ by two sequential laser pulses,” Opt Express, vol. 25, p. 17777, 2017, https://doi.org/10.1364/oe.25.017777.Search in Google Scholar
[35] L. Q. Feng, Y. Li, and A. Y. Feng, “Nano-plasmonic-pump-probe effect on the intensity enhancement of attosecond pulse from hydrogen molecular ion,” Laser Phys. Lett., vol. 15, p. 115301, 2018. https://doi.org/10.1088/1612-202x/aadf73.Search in Google Scholar
[36] J. G. Chen, Y. J. Yang, J. Chen, and B. Wang, Phys. Rev. A, vol. 91, p. 043403, 2015, https://doi.org/10.1103/physreva.91.043403.Search in Google Scholar
[37] L. Q. Feng and T. S. Chu, “Intensity improvement in the attosecond pulse generation with the coherent superposition initial state,” Phys. Lett. A, vol. 376, p. 1523, 2012, https://doi.org/10.1016/j.physleta.2012.03.031.Search in Google Scholar
[38] C. Jin, G. L. Wang, H. Wei, A. T. Le, and C. D. Lin, Nat. Commun., vol. 5, p. 4003, 2014, https://doi.org/10.1038/ncomms5003.Search in Google Scholar PubMed
[39] C. Jin and C. D. Lin, Chin. Phys. B, vol. 25, p. 094213, 2016, https://doi.org/10.1088/1674-1056/25/9/094213.Search in Google Scholar
[40] C. Jin, K. H. Hong, and C. D. Lin, “Optimal generation of high harmonics in the water-window region by synthesizing 800-nm and mid-infrared laser pulses,” Opt. Lett., vol. 40, p. 3754, 2015, https://doi.org/10.1364/ol.40.003754.Search in Google Scholar PubMed
[41] L. E. Chipperfield, J. S. Robinson, J. W. G. Tisch, and J. P. Marangos, Phys. Rev. Lett., vol. 102, p. 063003, 2009, https://doi.org/10.1103/physrevlett.102.063003.Search in Google Scholar
[42] H. Liu, Y. Li, H. Liu, A. Y. Feng, L. Q. Feng, and Y. Qiao, “Multiple-acceleration in "W" waveform structure for high-order harmonic improvement,” J. Nonlinear Opt. Phys. Mater., vol. 28, p. 1950037, 2019, https://doi.org/10.1142/s0218863519500371.Search in Google Scholar
[43] C. Y. Xu, L. Q. Feng, Y. Qiao, and Y. Li, Eur. Phys. J. D, vol. 74, p. 139, 2020, https://doi.org/10.1140/epjd/e2020-10121-9.Search in Google Scholar
[44] R. F. Lu, P. Y. Zhang, and K. L. Han, Phys. Rev. E, vol. 77, p. 066701, 2008, https://doi.org/10.1103/physreve.77.066701.Search in Google Scholar
[45] J. Hu, K. L. Han, and G. Z. He, Phys. Rev. Lett., vol. 95, p. 123001, 2005, https://doi.org/10.1103/physrevlett.95.123001.Search in Google Scholar PubMed
[46] L. Q. Feng, Y. Qiao, and L. Li, Spectrosc. Lett.https://doi.org/10.1080/00387010.2020.1850479.Search in Google Scholar
[47] S. C. Jiang, J. G. Chen, H. Wei, C. Yu, R. F. Lu, and C. D. Lin, Phys. Rev. Lett., vol. 120, p. 253201, 2018, https://doi.org/10.1103/physrevlett.120.253201.Search in Google Scholar
[48] X. Y. Miao and C. P. Zhang, Phys. Rev. A, vol. 89, p. 033410, 2014, https://doi.org/10.1103/physrevd.89.064053.Search in Google Scholar
[49] C. Yu, S. C. Jiang, and R. F. Lu, “High order harmonic generation in solids: a review on recent numerical methods,” Adv. Phys. X, vol. 4, p. 1562982, 2019, https://doi.org/10.1080/23746149.2018.1562982.Search in Google Scholar
[50] X. M. Tong and S. I. Chu, Phys. Rev. A, vol. 61, p. 021802, 2000, https://doi.org/10.1103/physreva.61.031401.Search in Google Scholar
[51] J. X. Han, J. Wang, Y. Qiao, et al., “Significantly enhanced conversion efficiency of high-order harmonic generation by introducing chirped laser pulses into scheme of spatially inhomogeneous field,” Opt. Express, vol. 27, p. 8768, 2019, https://doi.org/10.1364/oe.27.008768.Search in Google Scholar
[52] P. Antoine, B. Piraux, and A. Maquet, “Time profile of harmonics generated by a single atom in a strong electromagnetic field,” Phys. Rev. A, vol. 51, p. R1750, 1995, https://doi.org/10.1103/physreva.51.r1750.Search in Google Scholar PubMed
[53] L. Q. Feng, IEEE J. Quant. Electron., vol. 51, p. 1200206, 2015, https://doi.org/10.1109/jqe.2015.2395430.Search in Google Scholar
[54] S. H. Chen, C. Ruiz, and A. Becker, Phys. Rev. A, vol. 82, p. 033426, 2010, https://doi.org/10.1103/physreva.82.033426.Search in Google Scholar
[55] K. Ishikawa, Phys. Rev. Lett., vol. 91, p. 043002, 2003.10.1103/PhysRevLett.91.043002Search in Google Scholar PubMed
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