A Closed-Form Rational Model of Coupled Right/Left-Handed Ladder Networks for New Microwave Circuits Design

作者

  • G. Antonini Dipartimento di Ingegneria Elettrica e dell’Informazione Universit`a degli Studi dell’Aquila Monteluco di Roio, 67040, L’Aquila, Italy

关键词:

A Closed-Form Rational Model of Coupled Right/Left-Handed Ladder Networks for New Microwave Circuits Design

摘要

The analytical characterization of coupled composite righ/left-handed ladder networks is presented. Relying on closed-form polynomials, the two-port representation of the composite right/left-handed ladder network is obtained in a rational form, leading to identify its poles and residues and, thus, the state-space macromodel of the network. The proposed macromodel is successfully validated by comparing the numerical results with those obtained using conventional frequency domain techniques of finite periodic structures.

##plugins.generic.usageStats.downloads##

##plugins.generic.usageStats.noStats##

参考

V. G. Veselago, “The electrodynamics of substances

with simultaneously negative values of ε and μ,” Sov.

Phys. Usp., vol. 47, pp. 509–514, Jan.-Feb., 1968.

C. Caloz and T. Itoh, “Transmission line approach

of left-handed (LH) materials and microstrip im-

plementation of an artificial LH transmission line,”

ACES JOURNAL, VOL. 24, NO. 1, FEBRUARY 2009

IEEE Transactions on Antennas and Propagation,

vol. 52, no. 5, pp. 1159–1166, May 2004.

——, Electromagnetic Metamaterials: Transmission

Line Theory and Microwave Applications. Wiley-

IEEE Press, 2005.

A. Lai, C. Caloz, and T. Itoh, “Composite right/left-

handed transmission line metamaterals,” IEEE Mi-

crowave Magazine, pp. 34–50, Sep. 2004.

Y. Zhang and B. E. Spielman, “A stability analysis

for time-domain method of moments analysis of 1-D

double-negative transmission lines,” IEEE Transac-

tions on Microwave Theory and Techniques, vol. 55,

no. 9, pp. 1887–1898, Sep. 2007.

C. R. Paul, Analysis of Multiconductor Transmission

Lines. New York, NY: John Wiley & Sons, 1992.

A. Al`u and N. Engheta, “Pairing an epsilon-negative

slab with a mu-megative slab: resonance, tunneling

and tranparency,” IEEE Transactions on Antennas

and Propagation, vol. 51, no. 10, pp. 2558–2570,

Oct. 2003.

——, “Physical insight into the growing evanuescent

fiels of double-negative metamaterial lenses using

their circuit equivalence,” IEEE Transactions on

Antennas and Propagation, vol. 54, no. 1, pp. 268–

, Jan. 2006.

G. V. Eleftheriades and K. G. Balmain, Negative

Refraction Metamaterials: Fundamental Principles

and Applications. Wiley-IEEE Press, 2005.

P. P. So and W. J. R. Hoefer, “Time domain TLM

modeling of metamaterials with negative refractive

index,” pp. 1779–1782, Jun 2004.

A. Rennings, S. Otto, C. Caloz, A. Lauer, W. Bil-

gic, and P. Waldow, “Composite right/left-handed

extended equivalent circuit,” Int. J. Numer. Model.,

vol. 19, pp. 141–172, 2006.

R. F. Harrington, Field Computation by Moment

Methods. Malabar: Krieger, 1982.

G. Antonini, “Reduced order modeling for meta-

material transmission lines,” Applied Computational

Electromagnetic Society Newsletter, vol. 21, no. 3,

pp. 78–103, Nov. 2006.

H. V. Nguyen and C. Caloz, “Generalized couple-

mode approach of metamaterial coupled-line cou-

plers: coupling theory, phenomenological explana-

tion and experimental demonstration,” IEEE Trans-

actions on Microwave Theory and Techniques,

vol. 55, no. 5, pp. 1029–1039, May 2007.

B. Gustavsen and A. Semlyen, “Rational approx-

imation of frequency domain responses by vector

fitting,” IEEE Transactions on Power Apparatus and

Systems, vol. 14, no. 3, pp. 1052–1061, Jul. 1999.

D. Deschrijver, B. Haegeman, and T. Dhaene, “Or-

thonormal vector fitting : a robust macromodeling

tool for rational approximation of frequency domain

responses,” Feb. 2007.

D. Deschrijver, T. Dhaene, “Broadband macromod-

elling of passive components using orthonormal

vector fitting,” Electronics Lett., vol. 41, no. 21, pp.

–1161, Oct. 2005.

G. V. Eleftheriades, O. Siddiqui, and A. K. Iyer,

“Transmission line models for negative refractive

index media and associated implementations without

excess resonators,” IEEE Microwave and Wireless

Components Letters, vol. 13, no. 2, pp. 51–53, Feb.

J. Vlach and K. Singhal, Computer Methods for

Circuit Simulation. Van Nostrand Reinhold Co,

New York, 1983.

M. Faccio, G. Ferri, and A. D’Amico, “A new fast

method for ladder networks characterization,” IEEE

Transactions on Circuits and Systems, I, vol. 38,

no. 11, pp. 1377–1382, Nov. 1991.

M. Faccio, G. Ferri, A. D’Amico, “The DFF and

DFFz triangles and their mathematical properties,”

Applications of Fibonacci Numbers, G. E. Bergum

et al.,(eds), vol. 5, pp. 199–206, 1990.

E. W Weisstein, “Quartic Equation,”

Mathworld–A Wolfram Web Resource,

http://mathworld.wolfram.com/QuarticEquation

.html.

A. R. Djordjevic, M. B. Bazdar, T. K. Sarkar, and R.

F. Harrington, Matrix parameters for multiconductor

transmission lines. Boston London: Artech House

Publishers, 2000.

##submission.downloads##

已出版

2022-06-17

栏目

General Submission