Implementing a transmission line electrical circuit model in a complementary metamolecule waveguide

Abstract

Initially, we construct the metamolecule from its constituent meta-atoms, namely, a split ring resonator (SRR) and a complementary SRR (CSRR) which have characteristic oscillator frequencies in the microwave frequency band (especially in the X-band). Next, an one-dimensional metamolecule waveguide is created from an array of the CSRR-SRR metamolecules. The CSRR is the negative image of the SRR therefore this waveguide is called Complementary Metamolecule Waveguide (CM-WG). Using electromagnetic (EM) simulations, we study the operation frequency bands of the CM-WG changing the polarization of the incident EM wave as well as its unit cell dimension. In continue, we develop an electrical transmission line model, we precisely calculate the electric and magnetic coupling coefficients between the metamolecules and verify the results of the EM simulations. We conclude, from the electromagnetic simulations and the analytical considerations, that the polarization of the incident EM wave and the distance between the metamolecules affect the bandwidth of the frequency bands as well as the properties of the propagation.