Manipulations of atomic below-threshold harmonic generation by electrostatic fields

doi:10.1088/1674-1056/ae7db7

中国物理B ›› 2026, Vol. 35 ›› Issue (7): 73103-073103.doi: 10.1088/1674-1056/ae7db7

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

收稿日期:2026-04-24 修回日期:2026-05-26 接受日期:2026-06-16 发布日期:2026-07-10
通讯作者: Shilin Hu E-mail:shlhu@stu.edu.cn
基金资助:
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).

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

Received:2026-04-24 Revised:2026-05-26 Accepted:2026-06-16 Published:2026-07-10
Contact: Shilin Hu E-mail:shlhu@stu.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: below-threshold harmonic, electrostatic fields, B-splines

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.

Key words: below-threshold harmonic, electrostatic fields, B-splines

中图分类号: (Ab initio calculations)

31.15.A-

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)

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[J]. 中国物理B, 2026, 35(7): 73103-073103.

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[J]. Chin. Phys. B, 2026, 35(7): 73103-073103.

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Manipulations of atomic below-threshold harmonic generation by electrostatic fields

Manipulations of atomic below-threshold harmonic generation by electrostatic fields

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