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 measured
level of squeezing. The maximum squeezing that can be achieved using a
Gaussian-beam local oscillator is determined to be limited to 13.4 dB,
as a consequence of gain-induced diffraction. The phase lag of the
maximally squeezed quadrature is shown to be significantly different
from the plane-wave theoretic value of
/2, unless the focusing is very weak. The use
of a second DOPA for generating a local oscillator beam that is
matched to the squeezed field is also investigated. In this case,
squeezing is limited only by the available pump power.
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