Tretyakov S A, Viitanen A J
Electromagnetics Laboratory, Helsinki University of Technology, Finland.
J Opt Soc Am A Opt Image Sci Vis. 2000 Oct;17(10):1791-7. doi: 10.1364/josaa.17.001791.
A simple analytical theory for finding eigensolutions for plane electromagnetic waves propagating along an axis in infinite regular arrays of small dipole particles is presented. The spacing between dipoles in every plane is assumed to be smaller than the wavelength; separation between the planes is arbitrary. The influence of evanescent modes is taken into account. This theory gives a model for an effective propagation constant that can be applied in a wide frequency range from the quasi-static regime to the Bragg reflection (photonic bandgap) region.
本文提出了一种简单的解析理论，用于求解沿无限规则排列的小偶极子粒子阵列中某一轴传播的平面电磁波的本征解。假设每个平面中偶极子之间的间距小于波长；平面之间的间距是任意的。考虑了倏逝模的影响。该理论给出了一个有效传播常数的模型，该模型可应用于从准静态 regime 到布拉格反射（光子带隙）区域的宽频率范围。
