Petersson L E R, Smith Glenn S
School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta 30332-0250, USA.
J Opt Soc Am A Opt Image Sci Vis. 2002 Nov;19(11):2265-80. doi: 10.1364/josaa.19.002265.
Formulas are derived for the diffraction of a three-dimensional electromagnetic Gaussian beam by a perfectly conducting half-plane. The beam can be incident from any direction, and the main component of the electric field can point in any direction on the plane of the beam waist. The center of the beam waist is on the edge of the half-plane. The incident beam is constructed as a superposition of plane waves, and the total diffracted field is obtained from a superposition of the diffracted fields that are due to each plane wave. Physical constraints that limit the size and direction of the beam relative to the half-plane are described and incorporated into the theory. The scattered field in the far zone is obtained by asymptotic evaluation of the general formulas. Graphical results for the near-field as well as far-field patterns are presented and discussed.
推导了三维电磁高斯光束被理想导电半平面衍射的公式。光束可以从任何方向入射，并且电场的主要分量可以指向束腰平面上的任何方向。束腰中心位于半平面的边缘。入射光束被构建为平面波的叠加，并且总衍射场是由每个平面波产生的衍射场叠加得到的。描述了限制光束相对于半平面的大小和方向的物理约束，并将其纳入理论中。通过对一般公式的渐近求值得到远区的散射场。给出并讨论了近场和远场图案的图形结果。
