Microwave oscillator design is based on the principle of generating a negative resistance to compensate for the losses of the resonator. Several circuit combinations, including oneand two-port oscillators, are possible. In this discussion, we will first evaluate the conditions of oscillation for the Colpitts and Clapp-Gouriet oscillator. We will then evaluate a 19-GHz SiGe-based oscillator by a...

A quantum Kerr-nonlinear oscillator is a paradigmatic model in cavity and circuit electrodynamics, optomechanics. We theoretically study the echo phenomenon single impulsively excited (``kicked'') oscillator. reveal two types of echoes, ``quantum'' ``classical'' ones, emerging on long short time scales, respectively. The mechanisms echoes are discussed, their sensitivity to dissipation consider...