Abstract
We present a unified analysis of the quantum fluctuations and quadrature squeezing of continuous wave (cw) light propagating in a single-mode quadratic (${\mathrm{\ensuremath{\chi}}}^{(2)}$) 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 three-wave mixing phenomena, including parametric amplification, second-harmonic generation, and special eigenmode solutions are discussed and contrasted. Regimes of strong squeezing, and the influence of classical parametric modulational instabilities and spatial bifurcations on the spectrum of squeezed quantum fluctuations, are discussed. \textcopyright{} 1996 The American Physical Society.
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