• Chinese Optics Letters
  • Vol. 18, Issue 3, 030501 (2020)
Rui Yang, Zhenfa Xue, Zhiyong Shi, Liqiang Zhou, and Linwei Zhu*
Author Affiliations
  • School of Physics and Optoelectronic Engineering, Ludong University, Yantai 264025, China
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    DOI: 10.3788/COL202018.030501 Cite this Article Set citation alerts
    Rui Yang, Zhenfa Xue, Zhiyong Shi, Liqiang Zhou, Linwei Zhu. Scalable Talbot effect of periodic array objects[J]. Chinese Optics Letters, 2020, 18(3): 030501 Copy Citation Text show less
    Schematic of the scalable Talbot effect in the focal plane of a lens.
    Fig. 1. Schematic of the scalable Talbot effect in the focal plane of a lens.
    Simulated diffraction patterns in the focal plane. (a) The intensity distribution of the grating with different m, and (b) the corresponding curves of the period and slit-width as a function of m. Assume the focal length of the lens f=zT, where zT=Δ2/λ is the Talbot distance, with simulation parameters λ=0.633 μm, Δ=200 μm. (c) The diffraction images of the grating with different focal lengths f, and (d) the corresponding curves of the period and slit-width as a function of the focal length f.
    Fig. 2. Simulated diffraction patterns in the focal plane. (a) The intensity distribution of the grating with different m, and (b) the corresponding curves of the period and slit-width as a function of m. Assume the focal length of the lens f=zT, where zT=Δ2/λ is the Talbot distance, with simulation parameters λ=0.633μm, Δ=200μm. (c) The diffraction images of the grating with different focal lengths f, and (d) the corresponding curves of the period and slit-width as a function of the focal length f.
    Schematic diagram of the experimental setup.
    Fig. 3. Schematic diagram of the experimental setup.
    Experimental results recorded by the CCD with (a) various distances d0 when the focal length f=75 mm and (b) various focal lengths f when the distance d0=2zT.
    Fig. 4. Experimental results recorded by the CCD with (a) various distances d0 when the focal length f=75mm and (b) various focal lengths f when the distance d0=2zT.
    (a) and (b) are the corresponding 1D curves of the centerlines shown in Figure 4. (c) and (d) are the period and slit-width as a function of the distance parameter m and the focal length f.
    Fig. 5. (a) and (b) are the corresponding 1D curves of the centerlines shown in Figure 4. (c) and (d) are the period and slit-width as a function of the distance parameter m and the focal length f.
    Experimental results recorded by the CCD with a hexagonal array object with period Δ=70 μm and the focal length of the lens is 300 mm. (a) d0=10zT, (b) d0=20zT.
    Fig. 6. Experimental results recorded by the CCD with a hexagonal array object with period Δ=70μm and the focal length of the lens is 300 mm. (a) d0=10zT, (b) d0=20zT.
    Rui Yang, Zhenfa Xue, Zhiyong Shi, Liqiang Zhou, Linwei Zhu. Scalable Talbot effect of periodic array objects[J]. Chinese Optics Letters, 2020, 18(3): 030501
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