The Propagator Formulation of Parametric Oscillation
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Date
1997-06
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Addis Ababa University
Abstract
Employing 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.
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Keywords
Parametric Oscillation