A robust space mapping method for the practical synthesis of CSRR-based artificial transmission lines from equivalent circuit models

In this work, a robust method for the automated synthesis of microstrip lines loaded with complementary split-ring resonators (CSRRs), starting from equivalent circuit models, is presented. Following this novel space mapping-based strategy, the initial estimated layout is already very close to the optimum final solution, thus achieving a fast and very soft convergence rate of the whole synthesis procedure. Additionally, this synthesis method is able to evaluate the suitability of the proposed microstrip technology for implementing any given target frequency response. For this purpose, the convergence region of this synthesis algorithm (related to the physical realization of the CSRRs loading the host microstrip line), is obtained following an aggressive space mapping (ASM) technique. For validation issues, three design examples are shown.