Quantum noise properties of parametric amplifiers driven by two pump waves.

In a parametric amplifier (PA) driven by two pump waves the signal sideband is coupled to three idler sidebands, all of which are frequency-converted (FC) images of the signal, and two of which are phaseconjugated (PC) images of the signal. If such a device is to be useful, the signal must be amplified, and the PC and FC idlers must be produced, with minimal noise. In this paper the quantum noise properties of two-sideband (TS) parametric devices are reviewed and the properties of many-sideband devices are determined. These results are applied to the study of two-pump PAs, which are based on the aforementioned four-sideband (FS) interaction. As a general guideline, the more sidebands that interact, the higher are the noise levels. However, if the pump frequencies are tuned to maximize the frequency bandwidth of the FS interaction, the signal and idler noise-figures are only slightly higher than the noise figures associated with the limiting TS interactions.

[1]  R. Stolen,et al.  Parametric amplification and frequency conversion in optical fibers , 1982 .

[2]  S. Radic,et al.  Multiple-band bit-level switching in two-pump fiber parametric devices , 2004, IEEE Photonics Technology Letters.

[3]  H. Kogelnik,et al.  Four-wave mixing in fibers with random birefringence. , 2004, Optics express.

[4]  Joseph P. Dougherty,et al.  Waves in plasmas. , 1993 .

[5]  F. T. Arecchi,et al.  Measurement of the Statistical Distribution of Gaussian and Laser Sources , 1965 .

[6]  A. Yariv,et al.  Quantum Fluctuations and Noise in Parametric Processes. I. , 1961 .

[7]  R. Glauber.  Coherent and incoherent states of the radiation field , 1963 .

[8]  W. Louisell,et al.  Radiation and noise in quantum electronics , 1964 .

[9]  C. McKinstrie,et al.  Parametric amplifiers driven by two pump waves , 2002, Conference on Lasers and Electro-Optics, 2003. CLEO '03..

[10]  K. Brar,et al.  Continuous-wave parametric gain synthesis using nondegenerate pump four-wave mixing , 2002, IEEE Photonics Technology Letters.

[11]  R. Sillitto.  The Quantum Theory of Light , 1974 .

[12]  K. Kikuchi,et al.  Highly efficient arbitrary wavelength conversion within entire C-band based on nondegenerate fiber four-wave mixing , 2004, IEEE Photonics Technology Letters.

[13]  H. Haus,et al.  Photoelectron Statistics Produced by a Laser Operating Below the Threshold of Oscillation , 1965 .

[14]  S Radic,et al.  Parametric instabilities driven by orthogonal pump waves in birefringent fibers. , 2003, Optics express.

[15]  K. Rottwitt,et al.  Raman Amplification in Lightwave Communication Systems , 2002 .

[16]  H. Rowe,et al.  Some General Properties of Nonlinear Elements-Part I. General Energy Relations , 1956, Proceedings of the IRE.

[17]  G. Agarwal,et al.  Quantum statistics in nonlinear optics , 1992 .

[18]  S. Radic,et al.  Two-pump fiber parametric amplifiers , 2003 .

[19]  S. Radic,et al.  Record performance of parametric amplifier constructed with highly nonlinear fibre , 2003 .

[20]  R. Glauber,et al.  Quantum Theory of Parametric Amplification. I , 1967 .