Coherently Driven Degenerate Three-Level Laser With Parametric Amplifier In A Vacuum Reservoir

Abstract

In this thesis, we have investigated the squeezing and statistical properties of light produced by coherently driven degenerate three-level laser with parametric amplifier for the cavity mode coupled to a vacuum reservoir via a single-port mirror. First we have derived the master equation in the linear approximation scheme which is used to determine stochastic differential equations. We carry out analysis applying the solutions of c-number Langevin equations associated with the normal ordering. we determined the quadrature variance and squeezing spectrum. Using the antinormal order characteristic function ,we obtain the Q-function . we have calculated the mean photon number, photon number variance and photon number distribution. We have found that a light mode is 93% squeezed below the coherent state level at steady state for combination degenerate parametric amplifier with three - level laser at A = 3 and it is observed that the degree of squeezing increases with the linear gain coefficient(A). The effect of parametric amplifier is to increase the intra-cavity squeezing by a maximum of 50%. The maximum intracavity squeezing is found to be 86% below coherent state level in the absence of parametric amplifier. The mean photon number increase with linear gain coefficient. The squeezing of the superposed light of single-mode light increases with linear gain coefficients with a squeezing of 95:8% below coherent state level.