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Chin. Phys. B, 2026, Vol. 35(7): 073103    DOI: 10.1088/1674-1056/ae7db7
ATOMIC AND MOLECULAR PHYSICS Prev   Next  

Manipulations of atomic below-threshold harmonic generation by electrostatic fields

Junyong He(何俊泳)1, Shilin Hu(胡师林)1,†, Pengcheng Li(李鹏程)1, and Jing Chen(陈京)2,3
1 Research Center for Advanced Optics and Photoelectronics, Department of Physics, College of Science, Shantou University, Shantou 515063, China;
2 Department of Modern Physics, and Hefei National Research Center for Physical Sciences at the Microscale and School of Physical Sciences, University of Science and Technology of China, Hefei 230026, China;
3 Hefei National Laboratory, Hefei 230088, China
Abstract  We have studied the harmonic spectra of hydrogen atoms subjected to different combined laser fields with increasing electrostatic fields, which are based on the numerical solutions of the time-dependent Schrödinger equation. It is found that, as the electrostatic field increases, a hump structure in the below-threshold harmonic spectra will show up. The reasons are that the below-threshold harmonic generation is closely related to the excited states, and the probabilities of the excited states 2s and 2p evidently increase with the increasing electrostatic fields.
Keywords:  below-threshold harmonic      electrostatic fields      B-splines  
Received:  24 April 2026      Revised:  26 May 2026      Accepted manuscript online:  16 June 2026
PACS:  31.15.A- (Ab initio calculations)  
  31.15.xg (Semiclassical methods)  
  42.65.Ky (Frequency conversion; harmonic generation, including higher-order harmonic generation)  
  73.20.Hb (Impurity and defect levels; energy states of adsorbed species)  
Fund: Project supported by the Natural Science Foundation of Guangdong Province (Grant Nos. 2025A1515010887, 2026A1515011229, and 2025A1515011278), Li Ka Shing Foundation STU-GTIIT Joint Research Grants (Grant No. 2024LKSFG02), Department of Education of Guangdong Province (Grant No. 2024ZDZX1020), the STU Scientific Research Foundation for Talents (Grants Nos. NTF22026, NTF23011, NTF23014, and NTF23036T), the National Natural Science Foundation of China (Grant No. 12450402), and Quantum Science and Technology-National Science and Technology Major Project (Grant No. 2021ZD0302101).
Corresponding Authors:  Shilin Hu     E-mail:  shlhu@stu.edu.cn

Cite this article: 

Junyong He(何俊泳), Shilin Hu(胡师林), Pengcheng Li(李鹏程), and Jing Chen(陈京) Manipulations of atomic below-threshold harmonic generation by electrostatic fields 2026 Chin. Phys. B 35 073103

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