An analysis to the Fresnel diffraction of a grating

Huaisheng Wang; Zhigang Zhang; Changhe Zhou; Liren Liu

doi:10.1117/12.546165

8 December 2003 An analysis to the Fresnel diffraction of a grating

Huaisheng Wang, Zhigang Zhang, Changhe Zhou, Liren Liu

Proceedings Volume 5254, Third International Conference on Photonics and Imaging in Biology and Medicine; (2003) https://doi.org/10.1117/12.546165
Event: Third International Conference on Photonics and Imaging in Biology and Medicine, 2003, Wuhan, China

Abstract

Based on the incorporation of the structure and the distance of an amplitude grating, we put forward an equation to calculate the Fresnel diffractive field of the grating with an arbitrary opening ratio at any fractional Talbot distance. Because the transmissive function of a phase grating can be regarded as a linear combination of that of amplitude gratings, from above equation for calculating the Fresnel diffractive field of an amplitude grating, we present an analytical equation to calculate the Fresnel diffractive field of an arbitrary multiple phase grating. Using the analytical equation, we can conveniently study the fractional Talbot effect and its application of the arbitrary multiple phase grating. We give a new approach to analyze the Fresnel diffraction of a grating.

Citation Download Citation

Huaisheng Wang, Zhigang Zhang, Changhe Zhou, and Liren Liu "An analysis to the Fresnel diffraction of a grating", Proc. SPIE 5254, Third International Conference on Photonics and Imaging in Biology and Medicine, (8 December 2003); https://doi.org/10.1117/12.546165

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KEYWORDS

Diffraction gratings

Near field diffraction

Binary data

Fiber optic illuminators

Superposition

Computer programming

Holography

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