We report on the experimental demonstration of refractive micro-optical elements with arbitrary exponential surface profiles. Refractive optical elements such as lenses and axicons have parabolic (power-exponent of two) or conical (power-exponent of one) surface profiles, respectively. Here, we analyze micro-optical elements with non-parabolic surface profiles characterized by both integer and fractional power-exponents between 0.5 and 3.25. The experimentally measured beam shaping properties of the components were compared with numerical simulations and shown to be in excellent agreement. The generalized family of optical elements with non-parabolic power-exponent elements allows variation of the optical performance within the same device form-factor and enhancement of various optical properties, such as the extension of the depth-of-focus or resolution improvement.

中文翻译：

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轴镜：具有任意指数分布的折射微光学元件

我们报告具有任意指数表面轮廓的折射微光学元件的实验演示。诸如透镜和轴锥之类的折射光学元件分别具有抛物线（幂指数为2）或圆锥形（幂指数为1）的表面轮廓。在这里，我们分析具有非抛物线形表面轮廓的微光学元件，其特征是在0.5到3.25之间的整数和小数幂指数。实验测量的组件的光束成形特性与数值模拟进行了比较，并显示出极好的一致性。具有非抛物线形幂指数元件的光学元件的通用系列允许在同一器件外形尺寸内改变光学性能并增强各种光学特性，