Effective Nonlinear Parameter Measurement Using FWM in Optical Fibers in a Low Power Regime

The four-wave mixing (FWM) process in a low power regime is studied both theoretically and experimentally. The coupled-equations for the complex amplitudes are derived and solved. The proposed model is compared with experimental data. Results shows the need of considering both nonlinear and polarization dependent effects in order to obtain an accurate description of the four-wave mixing process in a low power regime. The effective nonlinear parameter is experimentally measured in a dispersion-shifted fiber, and the transition region between an almost co-polarized situation to a decorrelated state of polarization is observed.

[1]  K. Inoue.  Four-wave mixing in an optical fiber in the zero-dispersion wavelength region , 1992 .

[2]  G. Agrawal,et al.  Polarization mode dispersion-induced fluctuations during Raman amplifications in optical fibers. , 2002, Optics letters.

[3]  K. Inoue,et al.  Tunable and selective wavelength conversion using fiber four-wave mixing with two pump lights , 1994, IEEE Photonics Technology Letters.

[4]  N. S. Bergano,et al.  Polarization multiplexing with solitons , 1992 .

[5]  K. Inoue,et al.  Wavelength conversion experiment using fiber four-wave mixing , 1992, IEEE Photonics Technology Letters.

[6]  Govind P. Agrawal,et al.  Applications of Nonlinear Fiber Optics , 2001 .

[7]  Joe C. Campbell,et al.  High-Performance InGaAs/InP Single-Photon Avalanche Photodiode , 2007, IEEE Journal of Selected Topics in Quantum Electronics.

[8]  Anton Zavriyev,et al.  Single photon counting at telecom wavelength and quantum key distribution , 2004 .

[9]  John E. Bjorkholm,et al.  Phase‐matched three‐wave mixing in silica fiber optical waveguides , 1974 .

[10]  Kyo Inoue,et al.  Generation of polarization-entangled photon pairs and violation of Bell's inequality using spontaneous four-wave mixing in a fiber loop , 2004 .

[11]  Weinfurter,et al.  Quantum cryptography with entangled photons , 1999, Physical review letters.

[12]  Nori Shibata,et al.  Phase-mismatch dependence of efficiency of wave generation through four-wave mixing in a single-mode optical fiber , 1987 .

[13]  S. Kishida,et al.  Efficient large-frequency-shifted three-wave mixing in low dispersion wavelength region in single-mode optical fibre , 1980 .

[14]  E. A. Golovchenko,et al.  Unified analysis of four-photon mixing, modulational instability, and stimulated Raman scattering under various polarization conditions in fibers , 1994 .

[15]  D. Y. Kim,et al.  Novel phase-matching condition for a four wave mixing experiment in an optical fiber. , 2006, Optics Express.

[16]  Qiang Lin,et al.  Effects of polarization-mode dispersion on fiber-based parametric amplification and wavelength conversion. , 2003, Optics letters.

[17]  H. Kogelnik,et al.  Measurement of second-order polarization-mode dispersion vectors in optical fibers , 1999, IEEE Photonics Technology Letters.

[18]  J R Thompson,et al.  Multiple four-wave mixing process in an optical fiber. , 1991, Optics letters.

[19]  J. Blows,et al.  Wavelength conversion bandwidth in fiber based optical parametric amplifiers. , 2003, Optics express.

[20]  Magnus Karlsson,et al.  Four-wave mixing in fibers with randomly varying zero-dispersion wavelength , 1998 .

[21]  Govind P. Agrawal,et al.  Nonlinear Fiber Optics , 1989 .

[22]  Kyo Inoue,et al.  Generation of 1.5-μm band time-bin entanglement using spontaneous fiber four-wave mixing and planar light-wave circuit interferometers , 2005 .

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

[24]  Mitra Farahmand,et al.  Parametric amplification in presence of dispersion fluctuations. , 2004, Optics express.

[25]  W A Reed,et al.  Phase matching in the minimum-chromatic-dispersion region of single-mode fibers for stimulated four-photon mixing. , 1981, Optics letters.

[26]  P. Kumar,et al.  All-fiber photon-pair source for quantum communications , 2002, IEEE Photonics Technology Letters.

[27]  Kenneth O. Hill,et al.  cw three-wave mixing in single-mode optical fibers , 1978 .

[28]  Roy,et al.  Nonlinear dynamics of multiple four-wave mixing processes in a single-mode fiber. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[29]  Q. Lin,et al.  Impact of polarization-mode dispersion on measurement of zero-dispersion wavelength through four-wave mixing , 2003, IEEE Photonics Technology Letters.

[30]  R. E. Wagner,et al.  Phenomenological approach to polarisation dispersion in long single-mode fibres , 1986 .

[31]  Wolfgang Tittel,et al.  Photonic entanglement for fundamental tests and quantum communication , 2001, Quantum Inf. Comput..

[32]  Fatih Yaman,et al.  Photon-pair generation in optical fibers through four-wave mixing: Role of Raman scattering and pump polarization , 2007 .

[33]  Jun Chen,et al.  All-fiber photon-pair source for quantum communications: Improved generation of correlated photons. , 2004 .

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

[35]  Anders Karlsson,et al.  A single-photon counter for long-haul telecom , 1999 .

[36]  F. Yaman,et al.  CHAPTER 7 – Fiber Optic Parametric Amplifiers for Lightwave Systems , 2006 .

[37]  Armando N. Pinto,et al.  Single-Photon Source by Means of Four-Wave Mixing Inside a Dispersion-Shifted Optical Fiber , 2006 .

[38]  H. H. Chen,et al.  Stability of solitons in randomly varying birefringent fibers. , 1991, Optics letters.

[39]  K. Kikuchi,et al.  Design of highly efficient four-wave mixing devices using optical fibers , 1994, IEEE Photonics Technology Letters.

[40]  Li Zi-yao.  Fiber-based Optical Parametric Amplifiers and Their Applications , 2004 .

[41]  C. Hong,et al.  Generation of correlated photons via four-wave mixing in optical fibres , 2000, QELS 2000.

[42]  Designing single-mode fibres for near-IR(1.1-1.7 μm) frequency generation by phase-matched four-photon mixing in the minimum chromatic dispersion region , 1982 .

[43]  Govind P. Agrawal,et al.  Vector theory of four-wave mixing: polarization effects in fiber-optic parametric amplifiers , 2004 .

[44]  X. Liu,et al.  Multiple four-wave mixing self-stability in optical fibers (9 pages) , 2005 .