We present a unified analysis of the quantum fluctuations and quadratu
re squeezing of continuous wave (cw) light propagating in a single-mod
e quadratic (chi((2))) waveguide. We retain the effects of wave-vector
and group-velocity mismatch, group-velocity dispersion, and depletion
by linearizing the quantum fluctuations with respect to the the exact
cw nonlinear semiclassical evolution. Each of the characteristic thre
e-wave mixing phenomena, including parametric amplification, second-ha
rmonic generation, and special eigenmode solutions are discussed and c
ontrasted. Regimes of strong squeezing, and the influence of classical
parametric modulational instabilities and spatial bifurcations on the
spectrum of squeezed quantum fluctuations, are discussed.