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Analytical expression for a composite right/left‐handed transmission line based on the Mittag‐Leffler series expansion
Author(s) -
Fujishige Timothy,
Caloz Christophe,
Itoh Tatsuo
Publication year - 2004
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.20364
Subject(s) - transmission line , admittance , admittance parameters , infinitesimal , series (stratigraphy) , expression (computer science) , mathematical analysis , microwave , electric power transmission , transient (computer programming) , lossy compression , distributed element model , matrix (chemical analysis) , electronic engineering , mathematics , physics , engineering , electrical engineering , telecommunications , electrical impedance , computer science , voltage , materials science , statistics , composite material , paleontology , operating system , biology , programming language
Abstract An analytical expression for the admittance matrix of a lossy composite right/left‐handed transmission line (CRLH‐TL) based on the Mittag–Leffler series expansion is presented. This expression can be used to model a periodic CRLH‐TL with an expansion truncated to a small number of terms over a prescribed frequency range, which provides the transient response of the line in a faster and more efficient manner than full lumped‐element analysis. A numerical study comparing the admittance parameters calculated using the ideal‐TL infinitesimal model, the lumped‐element model, and the Mittag–Leffler expansion (MLE) is conducted. The transient responses of a CRLH‐TL using the lumped‐element model and the MLE are compared. © 2004 Wiley Periodicals, Inc. Microwave Opt Technol Lett 43: 26–29, 2004; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20364