Langevin treatment of quantum fluctuations and optical patterns in optical parametric oscillators below threshold

A. Gatti, H. Wiedemann, L. A. Lugiato, I. Marzoli, Gian-Luca Oppo, and Stephen M. Barnett
Phys. Rev. A 56, 877 – Published 1 July 1997
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Abstract

A Langevin model is introduced to study quantum fluctuations below the threshold of pattern formation for optical parametric oscillators (OPO’s). In particular we compare analytical and numerical results for the OPO with one and two transverse spatial dimensions and in the presence of either plane or spherical cavity mirrors. The far-field structure and the correlation functions of the fluctuating signal field anticipate the onset of a transverse spatial pattern which arises classically even in the presence of Gaussian input beams. Correlation functions also reveal the squeezed nature of the OPO field. Numerical simulations of the Langevin model describe the result of short time measurements and show that close to threshold the near-field signal is a noisy spot pattern evolving on a time scale longer than the inverse decay rate of the resonator. This and other far-field features should be experimentally accessible.

  • Received 25 November 1996

DOI:https://doi.org/10.1103/PhysRevA.56.877

©1997 American Physical Society

Authors & Affiliations

A. Gatti, H. Wiedemann, L. A. Lugiato, and I. Marzoli

  • Istituto Nazionale per la Fisica della Materia, Dipartimento di Fisica, Università degli Studi di Milano, Via Celoria 16, 20133 Milano, Italy

Gian-Luca Oppo and Stephen M. Barnett

  • Department of Physics and Applied Physics, University of Strathclyde, 107 Rottenrow, Glasgow G4 0NG, Scotland, United Kingdom

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Vol. 56, Iss. 1 — July 1997

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