Open AccessUnconditionally stable finite‐difference time‐domain algorithm for analysing composite right‐/left‐handed transmission line
Author(s) -
Afrooz Kambiz
Publication year - 2016
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.2015.0509
Subject(s) - algorithm , phasor , transmission line , stability (learning theory) , electric power transmission , numerical stability , finite difference time domain method , time domain , mathematics , domain (mathematical analysis) , matrix (chemical analysis) , software , transmission (telecommunications) , computer science , numerical analysis , engineering , mathematical analysis , physics , telecommunications , electrical engineering , materials science , computer vision , power (physics) , electric power system , quantum mechanics , machine learning , composite material , programming language
An unconditionally stable finite‐difference time‐domain method to analyse the composite right/left handed (CRLH) transmission lines (TLs) is proposed. The conventional algorithm presented to analyse the CRLH TLs is not capable of analysing special case of the CRLH TLs such as pure left‐handed TLs due to numerical stability problem. The proposed unconditionally stable algorithm removes the numerical instability and can analyse all the CRLH and pure left‐handed TLs. Amplification matrix of the proposed algorithm is calculated and numerical stability of the presented algorithm is studied. The proposed algorithm is applied to some examples and results are verified by the results of the conventional algorithm and results of Agilent ADS software. The results indicate that the CPU time of the proposed algorithm is reduced about 99% than that of the conventional algorithm by using the complex phasor method and unconditionally stable algorithm.