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Title: Calculation of the diffraction efficiency on concave gratings based on Fresnel–Kirchhoff’s diffraction formula
Authors: Huang, Yuanshen
Li, Ting
Xu, Banglian
Hong, Ruijin
Tao, Chunxian
Ling, Jinzhong
Li, Baicheng
Zhang, Dawei
Ni, Zhengji
Zhuang, Songlin
Issue Date: 2013
Source: Huang, Y., Li, T., Xu, B., Hong, R., Tao, C., Ling, J., et al. (2013). Calculation of the diffraction efficiency on concave gratings based on Fresnel–Kirchhoff’s diffraction formula. Applied Optics, 52(5), 1110-1116.
Series/Report no.: Applied optics
Abstract: Fraunhofer diffraction formula cannot be applied to calculate the diffraction wave energy distribution of concave gratings like plane gratings because their grooves are distributed on a concave spherical surface. In this paper, a method based on the Kirchhoff diffraction theory is proposed to calculate the diffraction efficiency on concave gratings by considering the curvature of the whole concave spherical surface. According to this approach, each groove surface is divided into several limited small planes, on which the Kirchhoff diffraction field distribution is calculated, and then the diffraction field of whole concave grating can be obtained by superimposition. Formulas to calculate the diffraction efficiency of Rowland-type and flat-field concave gratings are deduced from practical applications. Experimental results showed strong agreement with theoretical computations. With the proposed method, light energy can be optimized to the expected diffraction wave range while implementing aberration-corrected design of concave gratings, particularly for the concave blazed gratings.
DOI: 10.1364/AO.52.001110
Schools: School of Electrical and Electronic Engineering 
Rights: © 2013 Optical Society of America. This paper was published in Applied Optics and is made available as an electronic reprint (preprint) with permission of Optical Society of America. The paper can be found at the following official DOI: [].  One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles

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