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Numerical Modeling of optical properties of a system of two zone plates for focusing hard synchrotron radiation

机译:聚焦硬同步加速器辐射的两个波带片系统光学特性的数值模拟

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Results of numerical experiments on focusing of a monochromatic spherical wave by a system of two linear zone plates are reported. Calculations were performed for a photon energy of 12.3985 keV and zone plates with a radius of the first zone of 5 mu m, a number of zones of 628, and an aperture of 250 mu m. To calculate the Kirchhoff integrals, the double Fourier transform method was used and the fast Fourier transform procedure on a grid with a number of points 65 536 = 2(16) was applied. On the basis of the calculation results, a conclusion was drawn that two zone plates operate as one with a doubled phase shift in zones with a material if the longitudinal distance between them is smaller than 1/3 of the focus depth and the transverse displacement is smaller than 1/3 of the outermost zone width (the focus size). If the distance (displacement) exceeds the focus depth (size), the two zone plates operate independently, similar to refracting lenses with a set of different focusing orders, including the zero order. The nature of the moire pattern at a transverse displacement of the zone plates is discussed.
机译:报道了通过两个线性波带片系统聚焦单色球面波的数值实验结果。对光子能量为12.3985 keV的计算和第一区域半径为5μm,区域数目为628,孔径为250μm的区域板进行了计算。为了计算基尔霍夫积分,使用了双重傅立叶变换方法,并在点数为65 536 = 2(16)的网格上应用了快速傅立叶变换过程。根据计算结果得出的结论是,如果两个波带片之间的纵向距离小于聚焦深度的1/3,并且横向位移为,则两个波带片在材料区域中的相移加倍。小于最外面区域宽度(焦点大小)的1/3。如果距离(位移)超过聚焦深度(大小),则两个波带片将独立运行,类似于具有一组不同聚焦级(包括零级)的折射透镜。讨论了在波带片横向位移时的莫尔条纹的性质。

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