Periodic perturbation on a microwave oscillator using different topologies

Abstract

The effects of periodic perturbation on a solid state microwave (SSMW) Gunn oscillator (GO) has been investigated in two different ways of application of the perturbing signal (PS). In the first method, named as additive perturbation (AP), the PS is added to the GO cavity and in the second method, called multiplicative perturbation (MP), the PS directly modulates the bias condition of the GO. The dynamics of the driven GO for these two perturbing techniques are compared based on numerical as well as experimental response. It is observed from the bifurcation analysis that the synchronized condition is attained in the perturbed system through different dynamical states including chaos. For the MP technique transition into the intermediate chaotic state occurs through a period doubling route, whereas in the AP technique, we get quasi-periodic route to chaos. It is also observed, that in the AP technique, there is hysteresis in increasing and decreasing frequency values of applied PS for the synchronized periodic state. Further, the synchronization bandwidth in MP technique is higher than in AP technique. The numerical simulation result qualitatively supports the hardware experimental results in the microwave frequency range.