A new method is proposed for computing the microrelief of phase diffractive optical elements (DOEs) forming 2D images with kinematic effects of motion. The DOE is subdivided into elementary areas with a size of approximately 50 microns. The synthesis of optical security elements includes the computation of the beam pattern in each elementary area. The beam pattern in each elementary area uniquely defines the phase function of the optical element. The computation of the phase function involves solving a nonlinear operator equation. Efficient methods are developed for computing the microrelief of DOEs forming 2D images with kinematic effects of motion. Sample optical elements are made using electron-beam technology. The microrelief is shaped with a precision of ∼10 nm, and the resolution is equal to ∼0.1 micron. The synthesis method developed is universal in nature. Given different sets of frames, one can achieve different behaviours of the motion of image fragments. The new optic...

中文翻译：

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高分辨率计算机生成的全息图，用于创建具有运动学运动效果的2D图像

提出了一种新的方法来计算形成具有运动学运动效应的二维图像的相衍射光学元件（DOE）的微浮雕。DOE细分为大小约为50微米的基本区域。光学安全元件的合成包括每个基本区域中光束方向图的计算。每个基本区域中的光束方向图唯一地定义了光学元件的相位函数。相位函数的计算涉及求解非线性算子方程。开发了用于计算具有运动学运动效果的2D图像的DOE的微浮雕的有效方法。样品光学元件是使用电子束技术制成的。微浮雕的成形精度约为10 nm，分辨率等于〜0.1微米。开发的合成方法本质上是通用的。给定不同的帧集，可以实现图像片段运动的不同行为。新的光学元件