Guo Hanming, Chen Jiabi, Zhuang Songlin
Opt Express. 2006 Mar 20;14(6):2095-100. doi: 10.1364/oe.14.002095.
By using the method of modal expansions of the independent transverse fields, a formula of vector plane wave spectrum (VPWS) of an arbitrary polarized electromagnetic wave in a homogenous medium is derived. In this formula VPWS is composed of TM- and TE-mode plane wave spectrum, where the amplitude and unit polarized direction of every plane wave are separable, which has more obviously physical meaning and is more convenient to apply in some cases compared to previous formula of VPWS. As an example, the formula of VPWS is applied to the well-known radially and azimuthally polarized beam. In addition, vector Fourier-Bessel transform pairs of an arbitrary polarized electromagnetic wave with circular symmetry are also derived.
通过使用独立横向场的模态展开方法，推导了均匀介质中任意极化电磁波的矢量平面波谱（VPWS）公式。在该公式中，VPWS由TM模和TE模平面波谱组成，其中每个平面波的振幅和单位极化方向是可分离的，与先前的VPWS公式相比，该公式具有更明显的物理意义，并且在某些情况下应用更方便。作为一个例子，将VPWS公式应用于著名的径向和方位角极化光束。此外，还推导了具有圆对称性的任意极化电磁波的矢量傅里叶 - 贝塞尔变换对。
