  Control over the spectral properties of the bright squeezed vacuum (BSV), a
highly multimode non-classical macroscopic state of light that can be generated
through high-gain parametric down conversion, is crucial for many applications.
In particular, in several recent experiments BSV is generated in a strongly
pumped SU(1,1) interferometer to achieve phase supersensitivity, perform
broadband homodyne detection, or tailor the frequency spectrum of squeezed
light. In this work, we present an analytical approach to the theoretical
description of BSV in the frequency domain based on the Bloch-Messiah reduction
and the Schmidt-mode formalism. As a special case we consider a strongly pumped
SU(1,1) interferometer. We show that different moments of the radiation at its
output depend on the phase, dispersion and the parametric gain in a nontrivial
way, thereby providing additional insights on the capabilities of nonlinear
interferometers. In particular, a dramatic change in the spectrum occurs as the
parametric gain increases.
