Acta Optica Sinica, Volume. 39, Issue 7, 0712006(2019)

Polarization Aberration Measurement Method Based on Principal Component Analysis of Differential Aerial Images

Zejiang Meng1,2, Sikun Li1,2、*, Xiangzhao Wang1,2、**, Yang Bu1,2, Chaoxing Yang1,2, and Fengzhao Dai1,2
Author Affiliations
  • 1 Laboratory of Information Optics and Opto-Electronic Technology, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China
  • 2 Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing 100049, China
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    An in-situ measurement method of polarization aberration (PA) in lithographic projection lens is proposed. A new characterization of PA is proposed, and a cross-correlation relationship among three Pauli terms of PA and the difference in aerial images under three pairs of orthogonal illuminated polarization states is derived. Based on this, the principal component analysis is performed on three groups of differential aerial images of alt-phase-shift mask to solve all the Pauli Zernike coefficients of PA. This paper describes the coupling of different Pauli terms theoretically in the imaging process and resolves the coupling problem through the principle of measurement based on this theory. As a result, first 37 orders of Zernike coefficients for all Pauli terms can be measured by the proposed method. In the condition of typical deep ultraviolet lithography, random PA tests of the proposed method are performed and the standard errors of 6×37 measured Pauli-Zernike coefficients (real and imaginary parts of three Pauli terms) are all in the order of 10 -3. Simulation results validate the correctness and the effectiveness of the proposed method.

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    Zejiang Meng, Sikun Li, Xiangzhao Wang, Yang Bu, Chaoxing Yang, Fengzhao Dai. Polarization Aberration Measurement Method Based on Principal Component Analysis of Differential Aerial Images[J]. Acta Optica Sinica, 2019, 39(7): 0712006

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Jan. 30, 2019

    Accepted: Mar. 25, 2019

    Published Online: Jul. 16, 2019

    The Author Email: Li Sikun (lisikun@siom.ac.cn), Wang Xiangzhao (wxz26267@siom.ac.cn)

    DOI:10.3788/AOS201939.0712006

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