Properties of injection locking in the non-linear oscillator†

Abstract
The detailed behaviours of a non-linear oscillator which is injection-locked by sub-harmonic or harmonic frequency is presented and analysed. The theory, based, on a simple model of the equivalent circuit, can well explain various experimental results. Non-linear oscillator admittance, the combination of both non-linear negative conductance and non-linear susceptance, is found to be a satisfactory model for the injection-locked avalanche diode oscillator.

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