Yang Liangxin, Badar Irfan, Hellmann Christian, Wyrowski Frank
Opt Express. 2021 Feb 1;29(3):3621-3630. doi: 10.1364/OE.415649.
From a physical-optics point of view, the far-field light-shaping problem mainly requires a Fourier pair synthesis. The Iterative Fourier Transform Algorithm (IFTA) is one of the algorithms capable of realizing this synthesis, however, it may lead to stagnation problems when the fields of the Fourier pair exhibit a homeomorphic behavior. To overcome this problem, we use a mapping-type relation for the Fourier pair synthesis. This approach results in a smooth phase response function in a single step, without requiring an iterative procedure. The algorithm is demonstrated with examples and the results are investigated via physical-optics modeling techniques.
从物理光学的角度来看，远场光整形问题主要需要傅里叶对合成。迭代傅里叶变换算法（IFTA）是能够实现这种合成的算法之一，然而，当傅里叶对的场表现出同胚行为时，它可能会导致停滞问题。为了克服这个问题，我们对傅里叶对合成使用映射型关系。这种方法在一步中就产生了平滑的相位响应函数，而无需迭代过程。通过示例演示了该算法，并通过物理光学建模技术研究了结果。
