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Chinese Optics Letters, Volume. 19, Issue 5, 052601(2021)

Optimizing illumination’s complex coherence state for overcoming Rayleigh’s resolution limit

Chunhao Liang1, Yashar E. Monfared2, Xin Liu1, Baoxin Qi1, Fei Wang3、*, Olga Korotkova4、**, and Yangjian Cai1,3、***
Author Affiliations
  • 1Shandong Provincial Engineering and Technical Center of Light Manipulations & Shandong Provincial Key Laboratory of Optics and Photonic Device, School of Physics and Electronics, Shandong Normal University, Jinan 250014, China
  • 2Department of Chemistry, Dalhousie University, Halifax, NS B3H 4R2, Canada
  • 3School of Physical Science and Technology & Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, Suzhou 215006, China
  • 4Department of Physics, University of Miami, Coral Gables, Florida 33146, USA
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    Schematic diagram for a telecentric imaging system with lenses L1, L2 and a pupil.

    Fig. 1. Schematic diagram for a telecentric imaging system with lenses L1, L2 and a pupil.

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    Variation of CDC with Δx/b for different values of a/b.

    Fig. 2. Variation of CDC with Δx/b for different values of a/b.

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    Images of two pinholes under (a)–(c) partially coherent illumination (normalized Sim) for three values of ratio a/b; (d) incoherent illumination; (e) the cross lines (ρy = 0) of Sim in (a)–(d).

    Fig. 3. Images of two pinholes under (a)–(c) partially coherent illumination (normalized Sim) for three values of ratio a/b; (d) incoherent illumination; (e) the cross lines (ρy = 0) of Sim in (a)–(d).

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    (a)–(c) Images (Sim) of two pinholes with three values of d under partially coherent illumination with a/b = 15; (d) cross lines (ρy = 0) of Sim in (a)–(d); (e) dependence of resolution on ratio a/b.

    Fig. 4. (a)–(c) Images (Sim) of two pinholes with three values of d under partially coherent illumination with a/b = 15; (d) cross lines (ρy = 0) of Sim in (a)–(d); (e) dependence of resolution on ratio a/b.

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    (a) Density plot of the CDC’s real part; (b) cross line (ρy = 0) at Δy/b = 0.

    Fig. 5. (a) Density plot of the CDC’s real part; (b) cross line (ρy = 0) at Δy/b = 0.

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    (a)–(c) Images (Sim) of three pinholes with different separations under the illumination of partially coherent beams with the CDC in Eq. (18). (d)–(f) The corresponding images of three pinholes with incoherent illumination.

    Fig. 6. (a)–(c) Images (Sim) of three pinholes with different separations under the illumination of partially coherent beams with the CDC in Eq. (18). (d)–(f) The corresponding images of three pinholes with incoherent illumination.

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    Chunhao Liang, Yashar E. Monfared, Xin Liu, Baoxin Qi, Fei Wang, Olga Korotkova, Yangjian Cai, "Optimizing illumination’s complex coherence state for overcoming Rayleigh’s resolution limit," Chin. Opt. Lett. 19, 052601 (2021)

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    Paper Information

    Category: Physical Optics

    Received: Jul. 16, 2020

    Accepted: Nov. 8, 2020

    Posted: Nov. 9, 2020

    Published Online: Feb. 25, 2021

    The Author Email: Fei Wang (fwang@suda.edu.cn), Olga Korotkova (o.korotkova@miami.edu), Yangjian Cai (yangjiancai@suda.edu.cn)

    DOI:10.3788/COL202119.052601

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology