Analytical expression for a composite right/left-handed transmission line based on the Mittag-Leffler series expansion
✍ Scribed by Timothy Fujishige; Christophe Caloz; Tatsuo Itoh
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 108 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0895-2477
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✦ Synopsis
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