Acta Optica Sinica, Volume. 42, Issue 21, 2105001(2022)

Design Method of Phase Grating Mark in Resonance Domain

Guangying Zhou1,2, Yuejing Qi1,2、*, Wei Qi1, Zengxiong Lu1,2, and Jiani Su1
Author Affiliations
  • 1Institute of Microelectronics of Chinese Academy of Sciences, Beijing 100029, China
  • 2University of Chinese Academy of Sciences, Beijing 100049, China
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    Phase grating (PG) mark is a key component of a micro-displacement measurement system. In this paper, a design method of PG mark in resonance domain combining rigorous coupled wave analysis (RCWA) method with differential evolution algorithm is proposed to address issues including insufficient calculation accuracy of scalar diffraction theory and time consuming of parameter traversal design method. Firstly, according to the self-reference interference displacement measurement model, the maximum sum of measured optical signal-to-noise ratio (SNR) is regarded as the evaluation function of grating mark design. The relationship between the number of spatial harmonics and calculation accuracy in RCWA method is studied under different incident light wavelengths, polarization states, and grating periods. In view of the measurement requirement of multi-wavelength illumination micro-displacement, the proposed method is used to design the mark, and it is compared with conventional design methods. The results show that for the PG with period of 3.2 μm, the duty cycle of the grating is 0.484, and the groove depth is 161.5 nm under transverse magnetic (TM) light. Furthermore, the sum of SNR reaches the maximum value of 586.63. Compared with conventional design methods, the proposed method shortens the time in designing the PG mark to 0.2%, and the maximum improvement ratio of the sum of SNR reaches 24.4%.

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    Guangying Zhou, Yuejing Qi, Wei Qi, Zengxiong Lu, Jiani Su. Design Method of Phase Grating Mark in Resonance Domain[J]. Acta Optica Sinica, 2022, 42(21): 2105001

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    Paper Information

    Category: Diffraction and Gratings

    Received: Mar. 14, 2022

    Accepted: May. 16, 2022

    Published Online: Nov. 4, 2022

    The Author Email: Qi Yuejing (qiyuejing@ime.ac.cn)

    DOI:10.3788/AOS202242.2105001

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