OLIVEIRA, P. S. P.; http://lattes.cnpq.br/7235736507917567; OLIVEIRA, Paulo Sérgio Pereira de.
Résumé:
Here, we studied experimentally, via analog electronic circuits, the dynamic behavior of
the parametric oscillator, specifically the phenomena of parametric resonance and parametric amplification. Initially, we made a brief review of the RLC series circuit theory to show the importance of the quality factor in a physical resonant system. We rescaled the implemented circuit equations in order to simplify the comparison between the analytical, numerical and experimental parts. We presented and analysed the main analog circuits based on the operational amplifiers that were used in the implementation of the differential equations of the parametric oscillator and of the parametric amplifier. We determined experimentally the first zone of instability of the parametric oscillator, the results were in accordance with the theoretical prediction. Later on, we obtained the parametric amplifier gain through the method of the harmonic balance to first approximation. Subsequently, we implemented the parametric amplifier circuit and experimentally verified that the gain measures were in accordance with the theoretical prediction. Throughout our work, we used the circuit simulation software NI Multisim R
to simulate our circuits prior to making the printed circuit boards. Each stage of development of the implemented circuits: projects, drawings of electrical schemes, layouts, soldering of the components on the circuit boards, and production of the printed circuit boards was made in the Laboratory of Electromagnetism and Nonlinear Physics of the Physics Department at UFCG.