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Atomic, Molecular, Optical and Plasma Physics
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Eur. Phys. J. D 56, 123-140 (2010)
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 Valcárcel2

1  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.

PACS
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

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