Transmission-line metamaterials and their relation to the transmission-line matrix method

We review the connection between transmission-line metamaterials (TL-MTMs) and the transmission-line matrix (TLM) method for solving Maxwell's equations numerically. We show historically how the two disciplines evolved and how they are intimately related to each other We use the TLM method to reveal and explain the physics of the negative index property characterizing certain classes of transmission-line metamaterials as well as to inspire new research avenues in TL-MTMs.