We present a novel and straightforward Fibonacci lens, which is created by binarizing and adding a spiral phase to its radial phase function. It is shown that this new element yields a pair of petal-like modes due to several segments of the Fibonacci lens, where each segment is phase shifted by $\pi$ compared to its adjacent segment. Also, the generated petals have highly controllable rotation, and their locations are adjustable, in which their focal distance ratio is equal to a mathematical parameter of the so-called golden ratio. Also, by changing the topological charge, an arbitrary even number of petals is obtained.

中文翻译：

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方位角相移的斐波那契波带片

我们提出了一种新颖而直接的斐波那契透镜，该透镜是通过将其径向相位函数二值化并添加一个螺旋相位而创建的。结果表明，由于斐波那契透镜的多个部分，该新元素产生了一对花瓣状模，其中每个部分与其相邻部分相比，相移了πpi。而且，所产生的花瓣具有高度可控的旋转，并且它们的位置是可调节的，其中它们的焦距比等于所谓的黄金分割率的数学参数。而且，通过改变拓扑电荷，可以获得任意偶数个花瓣。