Augmented Harmonic Balance stability analysis of nonlinear composite right-left handed transmission lines

Author

Gibbons, M.J. ; Milford, G.N.

Author_Institution

Sch. of Eng., UNSW, Canberra, ACT, Australia

fYear

2011

fDate

5-10 June 2011

Firstpage

1

Lastpage

4

Abstract

In this paper we demonstrate the use of the augmented Harmonic Balance technique, otherwise used for RF power amplifier analysis, for stability analysis and characterisation of nonlinear CRLH TL circuits. Both Hopf and fliptype bifurcations were identified in a varactor loaded, 20-stage symmetric-π NL CRLH TL circuit. The parametric frequencies corresponding to the phase matching (three wave mixing) condition were identified. The numerical predictions agreed closely with measurements.

Keywords

bifurcation; metamaterials; transmission lines; 20-stage symmetric-π NL CRLH TL circuit; Hopf bifurcation; RF power amplifier analysis; augmented harmonic balance stability analysis; fliptype bifurcation; nonlinear CRLH TL circuits; nonlinear composite right-left handed transmission lines; parametric frequencies; phase matching condition; three wave mixing condition; varactor loaded TL circuit; Bifurcation; Frequency measurement; Frequency response; Integrated circuit modeling; Oscillators; Stability analysis; Transmission line measurements; Bifurcation; Harmonic Balance; Metamaterials; Nonlinear Circuits; Oscillation; Stability Analysis; Transmission Lines;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave Symposium Digest (MTT), 2011 IEEE MTT-S International

Conference_Location

Baltimore, MD

ISSN

0149-645X

Print_ISBN

978-1-61284-754-2

Electronic_ISBN

0149-645X

Type

conf

DOI

10.1109/MWSYM.2011.5972956

Filename

5972956