In this article, we consider the nonlinear Duffing-van der Pol-type oscillator system by means of the first integral method. This system has physical relevance as a model in certain flow-induced structural vibration problems, which includes the van der Pol oscillator and the damped Duffing oscillator etc as particular cases. Firstly, we apply the Division Theorem for two variables in the comple...

This paper investigates the generation of quadrature-squeezed states of light using a degenerate optical parametric amplifier ~DOPA! that is pumped by a focused Gaussian beam. The formulation that is presented facilitates the calculation of squeezing for an arbitrary local oscillator beam. This formulation also establishes a formal equivalence between the classical parametric gain and the measu...

We investigate the decay of metastable states with broken CP-symmetry which have recently been proposed by Kharzeev, Pisarski and Tytgat to form in hot hadronic matter. We consider the efficiency of the amplification of the η′-field via parametric resonance, taking the backreaction into account. For times of the order t ≈ 10fm, we find a particle density of about 0.7 /fm and a correlation lengt...

We carry out a theoretical investigation of the backward interaction optical parametric oscillator (OPO), in which one generated waves is counterpropagating with respect to pump. derive simple, self-consistent analytical formulas for continuous-wave and pulsed regimes. While consistent previous works on regime, our study enables us extend analysis regime. In particular, we simple expressions os...

We report a self-phase-locked and degenerate backward wave optical parametric oscillator (BWOPO) generating counterpropagating signal an idler in the spectral band of communication. The device is based on periodically poled Rb-doped KTiOPO4 crystal with poling period 433 nm. To best our knowledge, this shortest quasi-phase matching reported bulk ferroelectric crystal. coherence properties BWOPO...