Oscillator array dynamics with broadband N-port coupling networks

Author

York, Robert A. ; Liao, Peter ; Lynch, Jonathan J.

Author_Institution

Dept. of Electr. Eng., California Univ., Santa Barbara, CA, USA

Volume

42

Issue

11

fYear

1994

fDate

11/1/1994 12:00:00 AM

Firstpage

2040

Lastpage

2045

Abstract

This paper considers the analysis of an oscillator array with an arbitrary coupling network, described in terms of N-port circuit parameters. A Kurokawa analysis is used to transform the frequency domain network description into a set of equations for the oscillator amplitude and phase dynamics. The results reduce to previous work with “loosely” coupled Van der Pol oscillators, provided that the coupling network satisfies a broadband condition: the Q-factor of the coupling network must be much smaller than that of the oscillator. The theory is verified using a new coupling structure and a six-element patch oscillator array operating at 4 GHz, which produced a 70° scanning range using a phase-shifterless technique

Keywords

Q-factor; coupled circuits; microwave oscillators; millimetre wave oscillators; network parameters; nonlinear network analysis; relaxation oscillators; synchronisation; 4 GHz; Kurokawa analysis; N-port circuit parameters; Q-factor; broadband N-port coupling networks; coupled Van der Pol oscillators; frequency domain network description; oscillator amplitude; oscillator array dynamics; phase dynamics; six-element patch oscillator array; Antenna arrays; Coupling circuits; Equations; Frequency domain analysis; Frequency synchronization; Injection-locked oscillators; Mutual coupling; Phased arrays; Steady-state; Transforms;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.330116

Filename

330116