Volume 13 Issue 5
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Chinese Optics  > 2020  >  13(5): 965-974.
WANG Yan-ru, RAN Zheng-hui, DING Yu-jie. Beam quality β factor calculation based on two-dimensional chirp Z transformation[J]. Chinese Optics, 2020, 13(5): 965-974. doi: 10.37188/CO.2020-0079
Citation: WANG Yan-ru, RAN Zheng-hui, DING Yu-jie. Beam quality β factor calculation based on two-dimensional chirp Z transformation[J]. Chinese Optics, 2020, 13(5): 965-974. doi: 10.37188/CO.2020-0079
shu

Beam quality β factor calculation based on two-dimensional chirp Z transformation

  • Metrology and Testing Center, China Academy of Engineering Physics, MianYang 621900, China

Funds:  Supported by Basic Technology Project of Science Technology and Industry for National Defense (No. JSJL201712B002)
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  • Corresponding author: wyr3235@163.com
  • Received Date: 27 Apr 2020
  • Rev Recd Date: 29 May 2020
    • Available Online: 16 Sep 2020
  • Publish Date: 01 Oct 2020
    Abstract
  • An algorithm for fast calculation of the field distribution of diffraction based on two-dimension chirp Z transformation is proposed. The proposed algorithm does not increase computation and significantly improves the resolution of the diffraction distribution and obtains a more accurate beam quality β factor. After verifying the correctness of the proposed algorithm, the corresponding relationship between the RMS (Root-Mean-Square) of the beam′s wavefront aberration and β factor is simulated. The simulation results show that with the same RMS value, the effect of a spherical aberration on the β factor is the strongest among the lower order Zernike aberrations. In order to simulate the different distribution of beam spots, the β factors are calculated based on different random Zernike wavefront aberrations. The results indicate that a larger proportion of high-order Zernike aberrations in the cumulative aberrations induces a bigger β factor with an identical RMS value.

     

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