Abstract We propose a methodology for producing twin equal-intensity optical vortices with the same topological charge along the propagation direction by combining m-bonacci sequence with the spiral zone plates in the squared radial coordinate. Based on the Fresnel diffraction theory, the focusing property of such optics was analyzed and experimental demonstration was performed to verify its effectiveness. The results reveal that such optics may bring new opportunity and profit for plane optical trapping, optical micromachining, and confocal microscopy.

中文翻译：

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基于m-bonacci数列的螺旋波带片聚焦特性

摘要 我们提出了一种方法，通过将 m-bonacci 序列与平方径向坐标中的螺旋波带板相结合，产生沿传播方向具有相同拓扑电荷的孪生等强度光涡流。基于菲涅耳衍射理论，对该类光学器件的聚焦特性进行了分析，并进行了实验论证，验证了其有效性。结果表明，这种光学器件可能为平面光学捕获、光学微加工和共聚焦显微镜带来新的机会和利润。