Kassahun, Dr. FessehaBekele, Daniel2021-12-132023-11-092021-12-132023-11-091997-06http://10.90.10.223:4000/handle/123456789/29233Employing the Q-fun ctio ll formalism, we analyze the s(l ueezing spectrum and the photon number di strihution for the signal mode as well as the qlladralu re f1ue t uations, t he photon rHunlwr dis tribution arHI the spectrum of the inten sity-difreren ce flu ctuatio ns for th., sig nal -i(lIer modes generated ill PM"'- metric oscill ators operating below t hreshold . The Q-functio ll is obtained by solving the pertinenl Fokker-PlarH::k equat ion applying the method of evalu - ating the pro pagator developed by Ff'sspha [IJ. The task of eval uati ng the propa.ga.tor by means of this method psst'liti a lly reduces to the pro hlem of solv - ing the p e r ~ illent Euler-Lagrange equa.tio ns.enParametric OscillationThe Propagator Formulation of Parametric OscillationThesis