Efficient analysis of microstrip lines on artificial periodic structures

In this paper a hybrid numerical approach is designed for microstrip lines on artificial periodic structures. This hybrid approach divides the whole transmission problem of periodic microstrip structures into two problems: the eigenmode problem in the transverse direction, and the reflection and transmission problem in the longitudinal direction. The eigenmode problem of uniform transmission lines is analysed by the edge-based finite element method, and the reflection and transmission of discontinuity in the longitudinal direction are calculated by the mode-matching method and the multimode network theory. Numerical experiments demonstrate the accuracy, efficiency and generality of this approach. Various numerical results are given for both infinite and finite periodic microstrip structures.