Mr. Rui Yang Profile

Rui Yang

at Ludong Univ.

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Proceedings Article | 7 November 2018 Paper

Talbot effect in the focal field of a lens

Rui Yang, Liqiang Zhou, Zhenfa Xue, Linwei Zhu

Proceedings Volume 10818, 108181R (2018) https://doi.org/10.1117/12.2500863

KEYWORDS: Diffraction gratings, Diffraction, Spherical lenses, Near field diffraction, Wavefronts, Paraxial approximations, Physics

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The Talbot effect of a one dimensional (1D) grating in the focal region of a lens illuminated by a suitable spherical wavefront was analyzed based on the Fresnel diffraction theory. The condition of the self-imaging in the focal plane was also deduced. We found that the integer and fractional self-imaging phenomena can be produced with different distance between the point source and the grating. In addition, some formulas about a magnification, the period and the slitswidth of the diffracted images of the grating in the focal region were also given. Furthermore, the different parameters influencing the self-image are also discussed by some simulations. A grating was used for an example to test the validity of this theory. The agreement between the numerical and experimental results suggests the practicability of this theory to realize different Talbot imaging with various structures of the periodic objects, which can open a new door to achieve various potential uses related to optical trapping, super-resolution nano-processing and lithography of multifocal spots array.

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