Open AccessTransient analysis of finite multi‐conductor transmission line metamaterials (MTL‐MMs) based on discrete green's function (DGF) and macro‐modelling techniques
Author(s) -
Torabi Yalda,
Dadashzadeh Gholamreza
Publication year - 2019
Publication title -
iet microwaves, antennas and propagation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.555
H-Index - 69
eISSN - 1751-8733
pISSN - 1751-8725
DOI - 10.1049/iet-map.2018.5938
Subject(s) - macro , metamaterial , transmission line , transient (computer programming) , nodal analysis , electronic engineering , physics , topology (electrical circuits) , computer science , engineering , optics , electrical engineering , programming language , operating system
A new systematic macro‐modelling technique for transient analysis of finite multi‐conductor transmission line metamaterials (MTL‐MMs) based on a Dyadic discrete Green's function (DGF) approach is proposed. Governing discrete voltage‐based equations for one‐ and two‐dimensional (1‐D and 2‐D) MTL‐MMs are derived using a rigorous MTL analysis. Applying the idea of the Dyadic DGF solution to these equations, the impedance matrix representation of a finite open‐ended MTL‐MM is represented in a rational form, where the corresponding poles and residues can be identified exactly. The resulting pole/residue macro‐model is converted into a state space model which is compatible to SPICE circuit simulator. The proposed macro‐modelling technique significantly reduces the CPU time for transient analysis of 2‐D electromagnetic band gap (EBG) structures embedded in large multi‐layer printed circuit boards or volumetric NRI slabs with interaction with free space waves which can be modelled as an MTL‐MM system. The usefulness of the proposed macro‐model is illustrated by three sample MTL‐MMs including 1‐D shunt node negative refractive index ( NRI ) slab and 2‐D two‐ and three‐layered shielded EBG structures. The obtained results from the proposed macro‐modelling technique are presented and compared with those obtained using a full‐wave simulator, confirming the validity of the proposed model.