Abstract

A technique is proposed for solving the problem of the diffraction of a spherical wave at a concave diffraction grating. This uses methods for solving the problem of diffraction at a flat grating and the methods of geometrical optics, thereby allowing the parameters of the grating design to be calculated.

Calculation of the diffraction efficiency on concave gratings based on Fresnel–Kirchhoff’s diffraction formula

Yuanshen Huang, Ting Li, Banglian Xu, Ruijin Hong, Chunxian Tao, Jinzhong Ling, Baicheng Li, Dawei Zhang, Zhengji Ni, and Songlin Zhuang
Appl. Opt. 52(5) 1110-1116 (2013)

Measuring concave diffraction grating efficiencies at grazing incidence

W. R. Hunter and D. K. Prinz
Appl. Opt. 16(12) 3171-3175 (1977)

Stigmatic monochromator design using spherical, normally ruled concave diffraction gratings

John P. Schwenker
Appl. Opt. 28(16) 3292-3294 (1989)

Analysis and design of a concave diffraction grating with total-internal-reflection facets by a hybrid diffraction method

Zhimin Shi, Jian-Jun He, and Sailing He
J. Opt. Soc. Am. A 21(7) 1198-1206 (2004)

Aberration-reduced spherical concave grating holographically recorded by a spherical wave and a toroidal wave for Rowland circle mounting

Xinwei Chen and Lijiang Zeng
Opt. Express 27(3) 3294-3304 (2019)