Volume 13Issue 5
Sep. 2020
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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 qualityβfactor calculation based on two-dimensional chirpZtransformation[J].Chinese Optics, 2020, 13(5): 965-974.doi:10.37188/CO.2020-0079

Beam qualityβfactor calculation based on two-dimensional chirpZtransformation

doi:10.37188/CO.2020-0079
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
  • An algorithm for fast calculation of the field distribution of diffraction based on two-dimension chirp Ztransformation 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 βfactor. After verifying the correctness of the proposed algorithm, the corresponding relationship between the RMS (Root-Mean-Square) of the beam′s wavefront aberration and βfactor is simulated. The simulation results show that with the same RMS value, the effect of a spherical aberration on the βfactor is the strongest among the lower order Zernike aberrations. In order to simulate the different distribution of beam spots, the βfactors 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 βfactor with an identical RMS value.

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