DOI: 10.1140/epjd/e2009-00299-9
Quantum theory of synchronously pumped type I optical parametric oscillators: characterization of the squeezed supermodes
G. Patera1, N. Treps1, C. Fabre1 and G.J. de Valcárcel21 Laboratoire Kastler Brossel, Université Pierre et Marie Curie – Paris 6, ENS, CNRS, 4 place Jussieu CC74, 75252 Paris Cedex 05, France
2 Departament d'Òptica, Universitat de València, Dr. Moliner 50, 46100 Burjassot, Spain
Giuseppe.Patera@phlam.univ-lille1.fr
Received 30 September 2009 / Published online 1st December 2009
Abstract
Quantum models for synchronously pumped type I optical parametric
oscillators (SPOPO) are presented. The study of the dynamics of SPOPOs,
which typically involves millions of coupled signal longitudinal modes, is
significantly simplified when one considers the “supermodes", which are
independent linear superpositions of all the signal modes diagonalizing the
parametric interaction. In terms of these supermodes the SPOPO dynamics
becomes that of about a hundred of independent, single mode degenerate OPOs,
each of them being a squeezer. One derives a general expression for the
squeezing spectrum measured in a balanced homodyne detection experiment,
valid for any temporal shape of the local oscillator. Realistic cases are
then studied using both analytical and numerical methods: the oscillation
threshold is derived, and the spectral and temporal shapes of the squeezed
supermodes are characterized.
42.50.Dv - Quantum state engineering and measurements.
42.65.Re - Ultrafast processes; optical pulse generation and pulse compression.
42.65.Yj - Optical parametric oscillators and amplifiers.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2009