Title :
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
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;
Conference_Titel :
Microwave Symposium Digest (MTT), 2011 IEEE MTT-S International
Conference_Location :
Baltimore, MD
Print_ISBN :
978-1-61284-754-2
Electronic_ISBN :
0149-645X
DOI :
10.1109/MWSYM.2011.5972956