A nonperturbative quantum electrodynamic approach to the theory of laser induced high harmonic generation

doi:10.1007/s11467-014-0429-x

Frontiers of Physics

2015, Vol. 10

Issue (4): 103202 https://doi.org/10.1007/s11467-014-0429-x

RESEARCH ARTICLE

本期目录

A nonperturbative quantum electrodynamic approach to the theory of laser induced high harmonic generation

Chao Yu¹,Jingtao Zhang²,Zhi-Wei Sun³,Zhenrong Sun¹(

),Dong-Sheng Guo^1,^4,^*(

)

1. State Key Laboratory of Precision Spectroscopy, Department of Physics, East China Normal University, Shanghai 200062, China
2. State Key Laboratory of High-field Laser Physics, Shanghai Institute of Optical and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
3. Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
4. School of Physics, Peking University, Beijing 100871, China

全文: PDF(266 KB)

Abstract：

Using nonperturbative quantum electrodynamics, we develop a scattering theory for high harmonic generation (HHG). A transition rate formula for HHG is obtained. Applying this formula, we calculate the spectra of high harmonics generated from different noble gases shined by strong laser light. We study the cutoff property of the spectra. The data show that the cutoff orders of high harmonics are greater than that predicted by the “3.17” cutoff law. As a numerical experiment, the data obtained from our repeated calculations support the newly derived theoretical expression of the cutoff law. The cutoff energy of high harmonics described by the new cutoff law, in terms of the ponderomotive energy U_p and the ionization potential energy I_p, is 3.34U_p+ 1.83I_p. The higher cutoff orders predicted by this theory are due to the absorption of the extra photons, which participate only the photon-mode up-conversion and do nothing in the photoionization process.

Key words： high harmonic generation (HHG) cutoff law strong laser physics nonperturbative quantum electrodynamics transition rate formula

收稿日期: 2014-04-02 出版日期: 2015-08-17

Corresponding Author(s): Dong-Sheng Guo

引用本文:

. [J]. Frontiers of Physics, 2015, 10(4): 103202.
Chao Yu, Jingtao Zhang, Zhi-Wei Sun, Zhenrong Sun, Dong-Sheng Guo. A nonperturbative quantum electrodynamic approach to the theory of laser induced high harmonic generation. Front. Phys. , 2015, 10(4): 103202.

链接本文:

https://academic.hep.com.cn/fop/CN/10.1007/s11467-014-0429-x
https://academic.hep.com.cn/fop/CN/Y2015/V10/I4/103202

1	A. Mcpherson, G. Gibson, H. Jara, U. Johann, T. S. Luk, I. A. McIntyre, K. Boyer, and C. K. Rhodes, Studies of multiphoton production of vacuum-ultraviolet radiation in the rare gases, J. Opt. Soc. Am. B 4(4), 595 (1987) https://doi.org/10.1364/JOSAB.4.000595
2	J. T. Zhang and D.-S. Guo, Spectral minimum and giant enhancement in photoelectron spectra from xenon atoms driven by intense midinfrared laser fields, Phys. Rev. Lett. 110(6), 063002 (2013) https://doi.org/10.1103/PhysRevLett.110.063002
3	P. B. Corkum, Plasma perspective on strong field multiphoton ionization, Phys. Rev. Lett. 71(13), 1994 (1993) https://doi.org/10.1103/PhysRevLett.71.1994
4	M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L’Huillier, and P. B. Corkum, Theory of high-harmonic generation by lowfrequency laser fields, Phys. Rev. A 49(3), 2117 (1994) https://doi.org/10.1103/PhysRevA.49.2117
5	J. Gao, F. Shen, and J. G. Eden, Quantum electrodynamic treatment of harmonic generation in intense optical fields, Phys. Rev. Lett. 81(9), 1833 (1998) https://doi.org/10.1103/PhysRevLett.81.1833
6	J. Gao, F. Shen, and J. G. Eden, Interpretation of highorder harmonic generation in terms of transitions between quantum Volkov states, Phys. Rev. A 61(4), 043812 (2000) https://doi.org/10.1103/PhysRevA.61.043812
7	L. H. Gao, X. F. Li, P. M. Fu, R. R. Freeman, and D.-S. Guo, Nonperturbative quantum electrodynamics theory of high-order harmonic generation, Phys. Rev. A 61(6), 063407 (2000) https://doi.org/10.1103/PhysRevA.61.063407
8	T. Popmintchev, M. Chen, D. Popmintchev, P. Arpin, S. Brown, S. Alisauskas, G. Andriukaitis, T. Balciunas, O. D. Mücke, A. Pugzlys, A. Baltuska , B. Shim, S. E. Schrauth, A. Gaeta, C. Hernandez-Garcia, L. Plaja, A. Becker, A. Jaron-Becker, M. M. Murnane, and H. C. Kapteyn, Bright coherent ultrahigh harmonics in the keV X-ray regime from midinfrared femtosecond lasers, Science 336(6086), 1287 (2012) https://doi.org/10.1126/science.1218497
9	D.-S. Guo, T. ?berg, and B. Crasemann, Scattering theory of multiphoton ionization in strong fields, Phys. Rev. A 40(9), 4997 (1989) https://doi.org/10.1103/PhysRevA.40.4997
10	D.-S. Guo, Exact wave functions for atomic electron interacting with photon fields, Front. Phys. 8(1), 39 (2013) https://doi.org/10.1007/s11467-013-0283-2
11	D.-S. Guo, J. T. Zhang, Z. R. Sun, J. T. Wang, J. Gao, Z.-W. Sun, and R. R. Freeman, Even–odd harmonics generated from above-threshold ionization, Front. Phys. 9(1), 69 (2014) https://doi.org/10.1007/s11467-013-0378-9
12	D. M. Volkov, On a class of solutions of the Dirac equation, Z. Phys 94, 250 (1935)
13	J. Gao, D.-S. Guo, and Y.-S. Wu, Resonant above-threshold ionization at quantized laser intensities, Phys. Rev. A 61(4), 043406 (2000) https://doi.org/10.1103/PhysRevA.61.043406
14	D.-S. Guo and G. W. Drake, Stationary solutions for an electron in an intense laser field (I): Single-mode case, J. Phys. A: Math. Gen. 25(11), 3383 (1992) https://doi.org/10.1088/0305-4470/25/11/038
15	X. Hu, H. X. Wang, and D.-S. Guo, Phased bessel functions, Can. J. Phys. 86(7), 863 (2008)
16	J. Peatross and D. D. Meyerhofer, Intensity-dependent atomic-phase effects in high-order harmonic generation, Phys. Rev. A 52(5), 3976 (1995) https://doi.org/10.1103/PhysRevA.52.3976
17	W. R. Johnson, Atomic Structure Theory, 2007: Springer
18	D.-S. Guo, C. Yu, J. T. Zhang, J. Gao, Z.-W. Sun, and Z. R. Sun, On the cutoff law of laser high harmonic spectra, Front. Phys. 10, 103201 (2015) https://doi.org/10.1007/s11467-014-0447-8

Viewed

Full text

Abstract

Cited

Shared

Discussed