Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw, Poland.
Opt Lett. 2013 Mar 15;38(6):809-11. doi: 10.1364/OL.38.000809.
An exact closed-form representation is derived of a vector elegant Laguerre-Gaussian wave packet. Its space-time representation consists of three mutually orthogonal field components--of a common azimuthal index and different radial indices--uniquely distinguished by first three powers of the paraxial parameter. The transverse components are of tm-radial and te-azimuthal polarization and appear, under their normal incidence, to be eigenmodes of any horizontally planar, homogeneous and isotropic structure, with eigenvalues given by the reflection and transmission coefficients. In this context, the interrelations between the cross-polarization symmetries of wave packets in free space and at medium planar interfaces are discussed.
导出了矢量优美的拉盖尔-高斯波包的精确闭式表示。它的时空表示由三个相互正交的场分量组成——具有共同的方位指数和不同的径向指数——唯一由傍轴参数的前三个幂区分。横向分量具有 tm-径向和 te-方位极化，在其正入射下，表现为任何水平平面、均匀各向同性结构的本征模式，其特征值由反射和透射系数给出。在这种情况下，讨论了自由空间和介质平面界面中波包的交叉极化对称性之间的关系。
