In this paper, the original focus under tightly focusing radially polarized Bessel–Gaussian beam is split into a foci array with a specially designed pupil filter modulation. With this method, foci in the array are precisely controlled at accurate positions, exhibiting almost identical intensities and weak side lobes. Furthermore, a compound modulation through superposition of several filters is theoretically investigated, and a method for scalable generation of uniform foci array on the basis of their subarrays is proposed, which greatly reduced the design complexity of the large-scale foci array. With this method, various kinds of uniform foci arrays with large amount of foci and attractive distributions are well modulated, which may find potential applications in multifocal multiphoton microscopy and parallel laser fabrication.

中文翻译：

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可扩展生成均匀焦点阵列的瞳孔滤波器设计

在本文中，紧密聚焦的径向偏振贝塞尔-高斯光束下的原始焦点被分成具有特殊设计的瞳孔滤波器调制的焦点阵列。使用这种方法，阵列中的焦点可以精确控制在准确位置，表现出几乎相同的强度和弱旁瓣。此外，从理论上研究了通过叠加多个滤波器的复合调制，并提出了一种基于它们的子阵列可扩展地生成均匀焦点阵列的方法，大大降低了大规模焦点阵列的设计复杂度。通过这种方法，可以很好地调制具有大量焦点和有吸引力的分布的各种均匀焦点阵列，这可能会在多焦点多光子显微镜和并行激光制造中找到潜在的应用。