Khonina Svetlana N, Ustinov Andrey V, Porfirev Alexey P
Opt Lett. 2020 Aug 1;45(15):4112-4115. doi: 10.1364/OL.398209.
We consider a new type of vector beam, the vector Lissajous beams (VLB), which is of double order (,) and a generalization of cylindrical vector beams characterized by single-order . The transverse components of VLBs have an angular relationship corresponding to Lissajous curves. A theoretical and numerical analysis of VLBs was performed, showing that the ratio and parity of orders (,) affect the properties of different components of the electromagnetic field (EF) (whether they be real, imaginary, or complex). In addition, this allows one to engineer the imaginary part of the longitudinal component of the electromagnetic field and control the local spin angular momentum density, which is useful for optical tweezers and future spintronics applications.
我们考虑一种新型的矢量光束，即矢量李萨如光束（VLB），它具有双阶（ ， ），是由单阶表征的圆柱矢量光束的推广。VLB的横向分量具有与李萨如曲线相对应的角度关系。对VLB进行了理论和数值分析，结果表明阶数（ ， ）的比值和奇偶性会影响电磁场（EF）不同分量的特性（无论是实部、虚部还是复数形式）。此外，这使得人们能够设计电磁场纵向分量的虚部并控制局部自旋角动量密度，这对于光镊和未来的自旋电子学应用很有用。
