• Chinese Optics Letters
  • Vol. 17, Issue 7, 070501 (2019)
Zhigang Li1, Rui Yang1, Meiyu Sun1, Jing Han1..., Dengying Zhang1, Jiannong Chen1, Dawei Zhang2 and Linwei Zhu1,*|Show fewer author(s)
Author Affiliations
  • 1School of Physics and Optoelectronic Engineering, Ludong University, Yantai 264025, China
  • 2Engineering Research Center of Optical Instrument and System, Ministry of Education, Shanghai Key Laboratory of Modern Optical System, School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China
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    DOI: 10.3788/COL201917.070501 Cite this Article Set citation alerts
    Zhigang Li, Rui Yang, Meiyu Sun, Jing Han, Dengying Zhang, Jiannong Chen, Dawei Zhang, Linwei Zhu, "Detour phase Talbot array illuminator," Chin. Opt. Lett. 17, 070501 (2019) Copy Citation Text show less

    Abstract

    In this Letter, we propose a simple and effective approach for transforming a conventional Talbot array illuminator (TAI) with multilevel phase steps into a binary-phase TAI (BP-TAI) through detour phase encoding. The BP-TAI is a binary (0 π) phase-only diffractive optical element, which can be utilized to generate a large-scale focal spots array with a high compression ratio. As an example, we design a square BP-TAI with the fraction parameter β = 15 for achieving a square multifocal lattice with a high compression ratio β2. Theoretical analysis and experimental results demonstrate that the detour phase encoding is efficient for designing the BP-TAI, especially with the high compression ratio. Such results may be exploited in practical large-scale optical trapping and X-ray imaging.
    φ(m,n,β)={(11/β)(m2+n2)π,β=4L2(1/β)(m2+n2)π,β=4L(11/β)(m2+n2)π/2,β=4L1(11/β)(m2+n2)π/2,β=4L+1,(1)

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    u(x,y)=rect(xw,yw)×{u0(x,y)m=0β1n=0β1δ(xmΔ,ynΔ)exp[iφ(m,n,β)]},(2)

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    U(x,y)=u(x,y)M0=1MN0=1Nδ(xM0w,yN0w),(3)

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    δmn=φ(m,n,β)2πΔ,(4)

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    umn(x,y)=u0(x,y)2×rect(xδmnΔ/2,yΔ),(5)

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    u(x,y)=rect(xw,yw)×[m=0β1n=0β1umn(x,y)δ(xmΔ,ynΔ)].(6)

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    Zhigang Li, Rui Yang, Meiyu Sun, Jing Han, Dengying Zhang, Jiannong Chen, Dawei Zhang, Linwei Zhu, "Detour phase Talbot array illuminator," Chin. Opt. Lett. 17, 070501 (2019)
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