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

doi:10.1007/s11467-014-0429-x

Front. Phys.

2015, Vol. 10

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

RESEARCH ARTICLE

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

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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.

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

Corresponding Author(s): Dong-Sheng Guo

Issue Date: 17 August 2015

Cite this article:

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

URL:

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

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[1]	Chao Yu,Jingtao Zhang,Zhenrong Sun,Ju Gao,Dong-Sheng Guo. Conditions for ponderomotive resonances in the Kapitza–Dirac effect[J]. Front. Phys. , 2015, 10(5): 104208-.
[2]	Dong-Sheng Guo, Chao Yu, Jingtao Zhang, Ju Gao, Zhi-Wei Sun, Zhenrong Sun. On the cutoff law of laser induced high harmonic spectra[J]. Front. Phys. , 2015, 10(2): 103201-.
[3]	Dong-Sheng Guo, Jing-Tao Zhang, Zhen-Rong Sun, Jin T. Wang, Ju Gao, Zhi-Wei Sun, R. R. Freeman. Even–odd harmonics generated from above-threshold ionization[J]. Front. Phys. , 2014, 9(1): 69-73.

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