Volume 8, Issue 1
Progress of Selection Rules in High-Order Harmonic Generation

Shengjun Yue, Hongchuan Du, Hongmei Wu, Jinbin Li, Shengwei Yue & Bitao Hu

J. At. Mol. Sci., 8 (2017), pp. 10-17.

Published online: 2017-08

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  • Abstract

The high-order harmonic generation (HHG) has attracted much attention due to its wide application in attosecond science in last decades. The selection rules have also been broadly studied in experiments and theories since they play an important role in HHG. In this review, we give an overview of recent developments on selection rules of HHG from atoms to molecules. For targets with rotational symmetries, if the rotational symmetries of targets and laser pulses are the M-fold (the projective symmetry on the laser polarization plane) and L-fold, the selection rules are Nk ± 1, where N is the the greatest common divisor of M and L. However, for asymmetric molecules in non-Born-Oppenheimer approximation, the situation is more complicated, where the nuclear dipole acceleration can produce even harmonics, but it is three orders lower than that of the electron. Hence, the HHG is mainly relied on the electronic dipole acceleration. In this case, the broken degree of system-symmetry dominates the generation of even-order harmonics.

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COPYRIGHT: © Global Science Press

  • Email address

duhch@lzu.edu.cn (Hongchuan Du)

hubt@lzu.edu.cn (Bitao Hu)

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@Article{JAMS-8-10, author = {Yue , ShengjunDu , HongchuanWu , HongmeiLi , JinbinYue , Shengwei and Hu , Bitao}, title = {Progress of Selection Rules in High-Order Harmonic Generation}, journal = {Journal of Atomic and Molecular Sciences}, year = {2017}, volume = {8}, number = {1}, pages = {10--17}, abstract = {

The high-order harmonic generation (HHG) has attracted much attention due to its wide application in attosecond science in last decades. The selection rules have also been broadly studied in experiments and theories since they play an important role in HHG. In this review, we give an overview of recent developments on selection rules of HHG from atoms to molecules. For targets with rotational symmetries, if the rotational symmetries of targets and laser pulses are the M-fold (the projective symmetry on the laser polarization plane) and L-fold, the selection rules are Nk ± 1, where N is the the greatest common divisor of M and L. However, for asymmetric molecules in non-Born-Oppenheimer approximation, the situation is more complicated, where the nuclear dipole acceleration can produce even harmonics, but it is three orders lower than that of the electron. Hence, the HHG is mainly relied on the electronic dipole acceleration. In this case, the broken degree of system-symmetry dominates the generation of even-order harmonics.

}, issn = {2079-7346}, doi = {https://doi.org/10.4208/jams.042017.061517a}, url = {http://global-sci.org/intro/article_detail/jams/10430.html} }
TY - JOUR T1 - Progress of Selection Rules in High-Order Harmonic Generation AU - Yue , Shengjun AU - Du , Hongchuan AU - Wu , Hongmei AU - Li , Jinbin AU - Yue , Shengwei AU - Hu , Bitao JO - Journal of Atomic and Molecular Sciences VL - 1 SP - 10 EP - 17 PY - 2017 DA - 2017/08 SN - 8 DO - http://doi.org/10.4208/jams.042017.061517a UR - https://global-sci.org/intro/article_detail/jams/10430.html KW - -- AB -

The high-order harmonic generation (HHG) has attracted much attention due to its wide application in attosecond science in last decades. The selection rules have also been broadly studied in experiments and theories since they play an important role in HHG. In this review, we give an overview of recent developments on selection rules of HHG from atoms to molecules. For targets with rotational symmetries, if the rotational symmetries of targets and laser pulses are the M-fold (the projective symmetry on the laser polarization plane) and L-fold, the selection rules are Nk ± 1, where N is the the greatest common divisor of M and L. However, for asymmetric molecules in non-Born-Oppenheimer approximation, the situation is more complicated, where the nuclear dipole acceleration can produce even harmonics, but it is three orders lower than that of the electron. Hence, the HHG is mainly relied on the electronic dipole acceleration. In this case, the broken degree of system-symmetry dominates the generation of even-order harmonics.

Shengjun Yue, Hongchuan Du, Hongmei Wu, Jinbin Li, Shengwei Yue & Bitao Hu. (2019). Progress of Selection Rules in High-Order Harmonic Generation. Journal of Atomic and Molecular Sciences. 8 (1). 10-17. doi:10.4208/jams.042017.061517a
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