光学学报, 2018, 38 (2): 0226001, 网络出版: 2018-08-30
矢量贝塞尔涡旋波束在均匀单轴各向异性介质中的传输 下载: 689次
Propagation of Vector Bessel Vortex Beams in Homogeneous Uniaxial Anisotropic Media
物理光学 贝塞尔涡旋波束 矢量波函数展开 反射和透射 单轴各向异性介质 physical optics Bessel vortex beam vector wave function expansion reflection and transmission uniaxial anisotropic media
摘要
基于电磁场的矢量波函数展开方法和不同坐标系中矢量波函数转化关系,得到了圆对称矢量贝塞尔涡旋波束的圆柱矢量波函数展开系数;结合电磁场边界条件,获得了圆对称矢量贝塞尔涡旋波束以任意方向照射均匀单轴各向异性介质层的反射场、透射场和内部场的展开系数;数值计算了沿波束传播方向横截面上的入射、反射和透射电场强度分布以及xOz 平面内传播路径方向的总电场强度分布。结果表明,圆对称贝塞尔涡旋波束入射单轴各向异性介质的反射场基本保持同心圆环结构,但强度分布不再呈圆对称;透射场出现两束交错折射光,总电场强度轮廓显著扭曲。
Abstract
We obtain vector wave function expansion coefficients of the circularly-symmetric vector Bessel vortex beam based on the expansion of electromagnetic field in terms of vector wave function and the transformation of vector wave functions in different coordinate systems. Then, we obtain the expansion coefficients of reflection field, transmission field, and internal field of homogeneous uniaxial anisotropic media, which is illuminated by a circularly-symmetric vector Bessel vortex beam in any direction under the electromagnetic field boundary conditions. At last, we simulate the electric field distributions of reflection field, transmission field, and internal field in the cross sections and the total electric field distribution in xOz plane. The simulated results show that for a circularly-symmetric Bessel vortex beam incidence to uniaxial anisotropic media, the reflection field contour keeps a concentric ring structure, whereas the reflection field intensity distribution is asymmetric; there are two refracted rays in the transmission field, which brings about the distortion of the electric field intensity contour.
刘佳伟, 李海英, 吴振森, 白璐, 李正军. 矢量贝塞尔涡旋波束在均匀单轴各向异性介质中的传输[J]. 光学学报, 2018, 38(2): 0226001. Jiawei Liu, Haiying Li, Zhensen Wu, Lu Bai, Zhengjun Li. Propagation of Vector Bessel Vortex Beams in Homogeneous Uniaxial Anisotropic Media[J]. Acta Optica Sinica, 2018, 38(2): 0226001.