Читать книгу Introduction To Modern Planar Transmission Lines - Anand K. Verma - Страница 37

Most of the discussions on the planar transmission lines and resonators are centered on the physical models and closed‐form expression using circuit modeling. However, the analytical and quasi‐analytical methods have been developed in the literature for more versatile and accurate modeling of the planar line structures in the multilayered medium. The conformal mapping method, as applied to the CPW and CPS line structures, is presented in chapter 9. The chapter 14 presents the static variational methods, both in the space‐domain and Fourier domain, for the analysis of the microstrip and coupled microstrip. Using the transverse transmission line (TTL) technique, the variational method is extended to the multilayer microstrip lines. The method is extended to the boxed microstrip line and CPW using the Galerkin's method. However, the planar lines are both lossy and dispersive medium. The closed‐form models are normally not available for the multilayer lossy planar lines. Chapter 15 presents the scheme of the single‐layer reduction (SLR) formulation that utilizes the variational method and available single layer closed‐form expressions to compute the dispersion and losses in the multilayer planar lines. The SLR models could be incorporated in the microwave CAD packages for the synthesis of the planar microwave components in the multilayer environment. Finally, the semi‐analytical full‐wave method, i.e. the dynamic SDA is elaborated in chapter 16. The treatment is at the introductory level with the detailed derivation of expressions. The method also incorporates the multilayered planar lines.