• Chinese Optics Letters
  • Vol. 14, Issue 12, 123002 (2016)
Tingyu Yan, Chunmin Zhang*, Qiwei Li, Yutong Wei, and Jirui Zhang
Author Affiliations
  • Institute of Space Optics, School of Science, Xi’an Jiaotong University, Xi’an 710049, China
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    DOI: 10.3788/COL201614.123002 Cite this Article Set citation alerts
    Tingyu Yan, Chunmin Zhang, Qiwei Li, Yutong Wei, Jirui Zhang. Efficient background removal based on two-dimensional notch filtering for polarization interference imaging spectrometers[J]. Chinese Optics Letters, 2016, 14(12): 123002 Copy Citation Text show less

    Abstract

    A background removal method based on two-dimensional notch filtering in the frequency domain for polarization interference imaging spectrometers (PIISs) is implemented. According to the relationship between the spatial domain and the frequency domain, the notch filter is designed with several parameters of PIISs, and the interferogram without a background is obtained. Both the simulated and the experimental results demonstrate that the background removal method is feasible and robust with a high processing speed. In addition, this method can reduce the noise level of the reconstructed spectrum, and it is insusceptible to a complicated background, compared with the polynomial fitting and empirical mode decomposition (EMD) methods.
    F(u,v)=x=0M1y=0N1f(x,y)ej2π(ux/M+vy/N),(1)

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    u=M/d,(2)

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    dmax=dminλmaxλmin.(3)

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    Tingyu Yan, Chunmin Zhang, Qiwei Li, Yutong Wei, Jirui Zhang. Efficient background removal based on two-dimensional notch filtering for polarization interference imaging spectrometers[J]. Chinese Optics Letters, 2016, 14(12): 123002
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