Field dispersion in parametrically excited oscillator upon relaxation

A complete system of solutions of the equation describing the parametric excitation of an oscillator is presented. This system makes it possible to take into account losses in a parametrically excited oscillator in terms of the perturbation theory. It is shown that, although the oscillator losses are small (the relative spectral width of a typical laser cavity is 10⁻⁸), they limit the achievable squeezing coefficients by values on the order of ten. At present, the progress in resonator technique allows one to achieve relative spectral widths on the order of 10⁻¹¹–10⁻¹². Therefore, it can be expected to achieve squeezing coefficients on the order of 10³.