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

Chunhao Liang; Yashar E. Monfared; Xin Liu; Baoxin Qi; Fei Wang; Olga Korotkova; Yangjian Cai

doi:10.3788/COL202119.052601

Journals >Chinese Optics Letters >Volume 19 >Issue 5 >Page 052601 > Article

Chinese Optics Letters
Vol. 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 Wang^3、*, Olga Korotkova^4、**, and Yangjian Cai^1、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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DOI: 10.3788/COL202119.052601 Cite this Article Set citation alerts

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[J]. Chinese Optics Letters, 2021, 19(5): 052601 Copy Citation Text

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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

L_{1} {, L}_{2}

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

Δ

x/b for different values of a/b.

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

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

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

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Fig. 6. (a)–(c) Images (S_im) 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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