运用直线法对含有不同参数支撑介质的平面型电磁带隙(EBG)结构进行了分析.概述了算法的实现过程,使用周期边界条件隔离出一个结构单元作为计算区域,并利用直线法得到了位函数在各层介质界面间的传输方程.通过联立场分量与位函数的变换关系和界面处切向场分量的连续性条件,建立了本征方程,得到了表征该EBG结构表面波带隙的本征模频带图.同时,使用该方法对含有不同介电常数、不同厚度支撑介质的表面波带隙进行了计算.通过对计算结果的分析,得到了支撑介质对平面型EBG结构带隙特性影响的六条结论,为平面型EBG结构的设计提供了参考.
The method of lines is used to analyze the influence of dielectric substrates on uniplanar EGB structure. The analysis process is introduced. According to periodic boundary conditions, one unit cell has been isolated as the calculation region, and the method of lines is used to get the propagation equation of potential function in different interfaces of medium layers. By combining the conversion relationship between field component and potential function on the continuity condition of the tangential field components in interfaces, eigen value equations are established, and the frequency band diagrams of eigen mode are obtained to describe the surface wave bandgap of EBG structure. The method is used to do a series of calculations on surface wave bandgap with dielectric substrates of different dielectric constants and different thicknesses. Through analysis of calculation results, six conclusions are obtained on the influence of dielectric substrates, which can provide some references for the design of uniplanar EGB structure.