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On the cutoff law of laser induced high harmonic spectra |
Dong-Sheng Guo1,2( ),Chao Yu1,Jingtao Zhang3,Ju Gao4,Zhi-Wei Sun5,Zhenrong Sun1,*() |
1. State Key Laboratory of Precision Spectroscopy, Department of Physics, East China Normal University, Shanghai 200062, China
2. School of Physics, Peking University, Beijing 100871, China
3. State Key Laboratory of High-field Laser Physics, Shanghai Institute of Optical and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
4. Jingpin Opto-Electronic Co., Jiangsu FOHO Science Park, Fenhu Town, Wujiang 215211, China
5. Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China |
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Abstract The currently well accepted cutoff law for laser induced high harmonic spectra predicts the cutoff energy as a linear combination of two interaction energies, the ponderomotive energy Up and the atomic biding energy Ip, with coefficients 3.17 and 1.32, respectively. Even though, this law has been there for twenty years or so, the background information for these two constants, such as how they relate to fundamental physics and mathematics constants, is still unknown. This simple fact, keeps this cutoff law remaining as an empirical one. Based on the cutoff property of Bessel functions and the Einstein photoelectric law in the multiphoton case, we show these two coefficients are algebraic constants, 9 - 42≈ 3.34 and 22- 1 ≈ 1.83, respectively. A recent spectra calculation and an experimental measurement support the new cutoff law.
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| Keywords
high harmonic generation
cutoff law
strong laser physics
nonperturbative quantum electrodynamics
Bessel functions
Einstein photoelectric effect
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Corresponding Author(s):
Zhenrong Sun
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Just Accepted Date: 27 August 2014
Issue Date: 13 March 2015
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