We design and generate a kind of hybridly polarized vector optical field (VOF) with hyperbolic symmetry for the first time. After tightly focusing the new VOF, an optical needle is achieved with sub-wavelength transverse size (∼ 0.3 λ 2 ), and the depth of focus (DOF) is about twice as large as the common optical fields such as linearly, circularly, radially and azimuthally polarized optical fields. Meanwhile, highly purified transversely polarized electric and magnetic needles can be achieved simultaneously, which is also superior to other VOFs. When inserting a binary phase mask with N concentric belts, ultra-long optical needles can be realized by tightly focusing the hybridly polarized VOF using the genetic algorithm. The DOFs are 4.68 λ , 5.95 λ , 10.01 λ , 12.16 λ and 14.41 λ when N = 2, 3, 4, 5 and 6, respectively. As the VOFs used in shaping optical needles were always limited to cylindrical VOFs in previous resear...

中文翻译：

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具有双曲对称性的混合偏振矢量光学场产生的高纯度横向偏振光针

我们首次设计并产生了一种具有双曲对称性的混合极化矢量光场（VOF）。将新的VOF紧密聚焦后，就可以得到具有亚波长横向尺寸（〜0.3λ2）的光学针，并且聚焦深度（DOF）约为普通光学场的两倍，例如线性，圆形，径向和方位角偏振光场。同时，可以同时获得高度纯化的横向极化电针和磁针，这也优于其他VOF。当插入具有N条同心带的二进制相位掩模时，可以使用遗传算法通过紧密聚焦混合偏振VOF来实现超长光学针。当N = 2、3、4、5和6时，自由度分别为4.68λ，5.95λ，10.01λ，12.16λ和14.41λ。