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Moiré microstructure generated binary amplitude gratings for suppression of high diffraction orders
Optics and Lasers in Engineering ( IF 4.6 ) Pub Date : 2021-07-07 , DOI: 10.1016/j.optlaseng.2021.106731
Krzysztof Patorski 1 , Maria Cywińska 1 , Piotr Zdańkowski 1 , Maciej Trusiak 1
Affiliation  

We propose 2D gratings with 2D sinusoidal-like transmittance for spectral analysis in a wide wavelength range. Our design deploys the concept of the multiplicative superimposition of two mutually inclined or orthogonally crossed 1D binary amplitude gratings with appropriately selected opening numbers. In result the trapezoidal transmittance function without the 3rd and even harmonics is obtained in two perpendicular directions corresponding to the so-called subtractive and additive moiré patterns. The distance between main diffraction orders, i.e., -1, 0 and +1 in both directions is easily controlled by adjusting the angle between component grating lines. The moiré microstructure acting as 2D diffraction grating comprises 4 sided parallelogram holes up to the angle of 90 degrees for which they become rectangles. Diffraction efficiencies and free-standing parameters of our grating and the solutions reported in the literature, i.e., the inclined rectangular aperture grating (IRAG) and the grating with hexagonal holes are calculated and compared. Additionally, the methods of design for the literature reported gratings which start from square or rectangular shape apertures are introduced for the sake of comprehensive treatment of gratings with suppressed high diffraction orders. Design considerations are corroborated by the moiré Fourier spectra numerical simulations, their visualizations and experimental works.



中文翻译:

莫尔微结构产生二元振幅光栅,用于抑制高衍射级

我们提出了具有类似 2D 正弦曲线透射率的 2D 光栅,用于在宽波长范围内进行光谱分析。Our design deploys the concept of the multiplicative superimposition of two mutually inclined or orthogonally crossed 1D binary amplitude gratings with appropriately selected opening numbers. 结果梯形透射函数没有第三在两个垂直方向上获得偶次谐波,对应于所谓的减法和加法莫尔图案。主要衍射级之间的距离,即在两个方向上的 -1、0 和 +1 级之间的距离很容易通过调整分量光栅线之间的角度来控制。充当二维衍射光栅的莫尔微结构包括 4 个平行四边形孔,角度最大为 90 度,它们变成矩形。计算并比较了我们的光栅和文献中报道的解决方案,即倾斜矩形孔径光栅(IRAG)和六边形孔光栅的衍射效率和独立参数。此外,为了综合处理抑制高衍射级的光栅,引入了文献报道的从方形或矩形孔径开始的光栅的设计方法。莫尔傅立叶光谱数值模拟、它们的可视化和实验工作证实了设计考虑。

更新日期:2021-07-07
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