Seshadri S R
J Opt Soc Am A Opt Image Sci Vis. 2001 Jul;18(7):1748-57. doi: 10.1364/josaa.18.001748.
Particular higher-order sources give rise to electromagnetic Gaussian beams, which are linearly polarized and have their maximum in the propagation direction. For this dipolar beam the cross-sectional shape changes in the propagation direction. Nodal surfaces exist on which the tangential component of the electric field vanishes in the standing wave that is formed by the two oppositely directed dipolar, electromagnetic Gaussian beams. These surfaces are identified as the mirror shapes for an open resonator that supports this standing wave. For standing waves that have a particular cross-sectional shape at the waist the cross section of the beam near the mirror surfaces is circular. The resonant frequencies for the fundamental transverse mode of such a resonator have been determined as a function of the geometry and the axial mode number. By a perturbation technique the resonant frequency of an open resonator with spherical mirrors has been obtained. This result is valid in only the paraxial approximation. Illustrative numerical results are included.
特定的高阶源会产生电磁高斯光束，这些光束是线偏振的，并且在传播方向上具有最大值。对于这种偶极光束，其横截面形状在传播方向上会发生变化。存在节点面，在由两个相反方向的偶极电磁高斯光束形成的驻波中，电场的切向分量在这些节点面上消失。这些表面被确定为支持这种驻波的开放谐振器的镜面形状。对于在腰部具有特定横截面形状的驻波，靠近镜面处的光束横截面是圆形的。已经确定了这种谐振器基横模的谐振频率作为几何形状和轴向模数的函数。通过微扰技术，得到了具有球面镜的开放谐振器的谐振频率。该结果仅在傍轴近似下有效。文中包含了说明性的数值结果。
