Abstract

We introduce the design and implementation of quasi-periodic gratings for high-order diffraction suppression. The effects of hole shape (circle, rectangle, diamond, and hexagon) and location distribution on the diffraction properties are investigated. We theoretically and experimentally demonstrate that the quasi-triangle array with hexagonal holes is highly advantageous for suppressing high-order diffractions. Additionally, the quasi-periodic location distribution also helps to suppress high-order diffraction. Remarkably, the analytical results show that the 1st, 2nd, 3rd, 4th, 5th, and 6th order diffractions can be completely suppressed for the special structure parameters of the quasi-periodic gratings, and the 7th order diffraction intensity is as low as $2.2\times {10}^{-5}$ of the 1st order. The experimental results show there exist only 0th and $\pm 1$st order diffraction peaks along the $\xi$ axis, which qualitatively agree with the theoretical and numerical predictions. Compared with the traditional $1:1$ grating, the quasi-triangle array with hexagonal holes can effectively suppress high-order diffractions. We except the quasi-periodic gratings may find significant applications in high-accuracy wide spectral measurement ranging from the far infrared to the x-ray regions.

© 2018 Optical Society of America

High order diffraction suppression by quasi-periodic two-dimensional gratings

Jiebin Niu, Lina Shi, Ziwei Liu, Tanchao Pu, Hailiang Li, Guanya Wang, and Changqing Xie
Opt. Mater. Express 7(2) 366-375 (2017)

Two-dimensional gratings of hexagonal holes for high order diffraction suppression

Ziwei Liu, Lina Shi, Tanchao Pu, Hailiang Li, Jiebin Niu, Guanya Wang, and Changqing Xie
Opt. Express 25(2) 1339-1349 (2017)

Talbot effect of quasi-periodic grating

Chong Zhang, Wei Zhang, Furui Li, Junhong Wang, and Shuyun Teng
Appl. Opt. 52(21) 5083-5087 (2013)

Two-dimensional binary phase gratings for zero-order and high-order diffraction suppression

Yifan Chen, Kun Zhang, Xinjie Lv, Gang Zhao, and Shining Zhu
Appl. Opt. 63(9) 2286-2293 (2024)

Quasi-Talbot effect of a grating in the deep Fresnel diffraction region

Shuyun Teng, Xiaoyi Chen, Tongjun Zhou, and Chuanfu Cheng
J. Opt. Soc. Am. A 24(6) 1656-1665 (2007)