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Chin. Phys. B, 2023, Vol. 32(3): 034204    DOI: 10.1088/1674-1056/aca4bf
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

Spectral shift of solid high-order harmonics from different channels in a combined laser field

Dong-Dong Cao(曹冬冬)1, Xue-Fei Pan(潘雪飞)2, Jun Zhang(张军)1,†, and Xue-Shen Liu(刘学深)1,‡
1 Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China;
2 College of Science, Northeast Forestry University, Harbin 150040, China
Abstract  We investigate theoretically the spectral shift of the high-order harmonic generation (HHG) in ZnO driven by a combined laser field by solving the two-band semiconductor Bloch equations (SBEs) in the velocity gauge. The combined laser field is synthesized by a fundamental laser pulse and its seventh-frequency laser pulse. When the seventh-frequency laser pulse is added to the rising or falling parts of the fundamental laser field, we find that the spectral blueshift or redshift appears, which is due to the unequal contribution of the rising and falling parts in the fundamental laser field to the harmonics. By analyzing the time-dependent conduction band population in k space, we found that, in addition to the tunneling ionization channel, there is also the resonant electron injection channels which is induced by the seventh-frequency laser pulse. The harmonics generated by the different channels show the spectral redshift or the spectral blueshift, respectively. Through analyzing the k-integrated transient conduction band population of the electrons from different channels, we found that if there is a certain delay in the process of the electron excitation, it will lead to the delay in the harmonic emission, which results in the spectral redshift of the harmonics.
Keywords:  high-order harmonic generation      ZnO crystal      spectral shift of harmonics      resonant electron injection channels  
Received:  06 September 2022      Revised:  09 November 2022      Accepted manuscript online:  22 November 2022
PACS:  32.80.Rm (Multiphoton ionization and excitation to highly excited states)  
  42.65.Ky (Frequency conversion; harmonic generation, including higher-order harmonic generation)  
  42.65.Re (Ultrafast processes; optical pulse generation and pulse compression)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12074142 and 11904122).
Corresponding Authors:  Jun Zhang, Xue-Shen Liu     E-mail:  junzhang@jlu.edu.cn;liuxs@jlu.edu.cn

Cite this article: 

Dong-Dong Cao(曹冬冬), Xue-Fei Pan(潘雪飞), Jun Zhang(张军), and Xue-Shen Liu(刘学深) Spectral shift of solid high-order harmonics from different channels in a combined laser field 2023 Chin. Phys. B 32 034204

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