Comprehensive model for studying noise induced by self-homodyne detection of backward Rayleigh scattering in optical fibers.

Backward Rayleigh scattering in optical fibers due to the fluctuations that are "frozen-in" to the fiber during the manufacturing process may limit the performance of optical sensors and bidirectional coherent optical communication systems. In this manuscript we describe a comprehensive model for studying intensity noise induced by spontaneous Rayleigh backscattering in optical systems that are based on self-homodyne detection. Our model includes amplitude and frequency noise of the laser source, random distribution of the scatterers along the fiber, and phase noise induced in fibers due to thermal and mechanical fluctuations. The model shows that at frequencies above about 10 kHz the noise spectrum is determined by the laser white frequency noise. The laser flicker frequency noise becomes the dominant effect at lower frequencies. The noise amplitude depends on the laser polarization. A very good agreement between theory and experiment is obtained for fibers with a length between 500 m to 100 km and for a laser with a linewidth below 5 kHz.

[1]  Y. Chung,et al.  Effects of Rayleigh backscattering in long-reach RSOA-based WDM PON , 2010, 2010 Conference on Optical Fiber Communication (OFC/NFOEC), collocated National Fiber Optic Engineers Conference.

[2]  Peter Healey,et al.  Statistics of Rayleigh Backscatter From a Single-Mode Fiber , 1987, IEEE Trans. Commun..

[3]  S. Schilt,et al.  Simple approach to the relation between laser frequency noise and laser line shape. , 2010, Applied optics.

[4]  R. E. Bartolo,et al.  Thermal Phase Noise Measurements in Optical Fiber Interferometers , 2012, IEEE Journal of Quantum Electronics.

[5]  R. Jones,et al.  A New Calculus for the Treatment of Optical SystemsII. Proof of Three General Equivalence Theorems , 1941 .

[6]  D. L. Favin,et al.  Polarization-mode dispersion measurements based on transmission spectra through a polarizer , 1994 .

[7]  Model of a fibreoptic phase-sensitive reflectometer and its comparison with the experiment , 2010 .

[8]  N. Gisin,et al.  Phase-noise measurements in long-fiber interferometers for quantum-repeater applications , 2007, 0712.0740.

[9]  Irving S. Reed,et al.  On a moment theorem for complex Gaussian processes , 1962, IRE Trans. Inf. Theory.

[10]  G. M. Carter,et al.  Optical scattering induced noise in RF-photonic systems , 2011, 2011 Joint Conference of the IEEE International Frequency Control and the European Frequency and Time Forum (FCS) Proceedings.

[11]  M. O. van Deventer,et al.  Polarization properties of Rayleigh backscattering in single-mode fibers , 1993 .

[12]  Kazuya Saito,et al.  Fictive temperature dependence of density fluctuation in SiO2 glass , 2003 .

[13]  B. Soller,et al.  High Resolution Distributed Strain or Temperature Measurements in Single-and Multi-mode Fiber Using Swept-Wavelength Interferometry , 2006 .

[14]  A. Ikushima,et al.  Reduction of light-scattering loss in silica glass by the structural relaxation of , 1997 .

[15]  Luca Palmieri,et al.  Polarization mode dispersion characterization of single-mode optical fiber using backscattering technique , 1998 .

[16]  P. Gysel,et al.  Crosstalk penalities due to coherent Rayleigh noise in bidirectional optical communication systems , 1991 .

[17]  L. B. Mercer,et al.  1/f frequency noise effects on self-heterodyne linewidth measurements , 1990 .

[18]  K. Kikuchi.  Effect of 1/f-type FM noise on semiconductor-laser linewidth residual in high-power limit , 1989 .

[19]  K. Wanser,et al.  Fundamental phase noise limit in optical fibres due to temperature fluctuations , 1992 .

[20]  R. Jones.  A New Calculus for the Treatment of Optical SystemsI. Description and Discussion of the Calculus , 1941 .

[21]  Weimin Zhou,et al.  Superlinear growth of Rayleigh scattering-induced intensity noise in single-mode fibers. , 2015, Optics express.

[22]  P. Gysel,et al.  Statistical properties of Rayleigh backscattering in single-mode fibers , 1990 .

[23]  Lingze Duan,et al.  Intrinsic thermal noise of optical fibres due to mechanical dissipation , 2010 .

[24]  Weimin Zhou,et al.  Rayleigh-Scattering-Induced RIN and Amplitude-to-Phase Conversion as a Source of Length-Dependent Phase Noise in OEOs , 2013, IEEE Photonics Journal.

[25]  P. B. Macedo,et al.  Rayleigh and Brillouin Scattering in K2O–SiO2 Glasses , 1973 .

[26]  Clay K. Kirkendall,et al.  Overview of high performance fibre-optic sensing , 2004 .

[27]  L. Palmieri,et al.  Measurement of birefringence correlation length in long, single-mode fibers. , 2001, Optics letters.

[28]  Robert K. Mohr,et al.  RAYLEIGH AND BRILLOUIN SCATTERING IN K2O‐SIO2‐GLASSES , 1973 .

[29]  P. Wai,et al.  Polarization mode dispersion, decorrelation, and diffusion in optical fibers with randomly varying birefringence , 1996 .

[30]  Xiaoyi Bao,et al.  Characteristics of stimulated Rayleigh scattering in optical fibers , 2011, International Conference on Optical Fibre Sensors.

[31]  Y. Yamamoto.  AM and FM quantum noise in semiconductor lasers - Part I: Theoretical analysis , 1983, IEEE Journal of Quantum Electronics.

[32]  R. M. Herman,et al.  Theoretical Prediction of the Stimulated Thermal Rayleigh Scattering in Liquids , 1967 .

[33]  M. E. Froggatt,et al.  Rayleigh backscattering signatures of optical fibers—Their properties and applications , 2013, 2013 Optical Fiber Communication Conference and Exposition and the National Fiber Optic Engineers Conference (OFC/NFOEC).

[34]  Scott A. Diddams,et al.  The evolving optical frequency comb [Invited] , 2010 .

[35]  O. Llopis,et al.  Phase noise measurement of a narrow linewidth CW laser using delay line approaches. , 2011, Optics letters.

[36]  V. Chan,et al.  Local-oscillator excess-noise suppression for homodyne and heterodyne detection. , 1983, Optics letters.

[37]  Alan Pak Tao Lau,et al.  Coherent detection in optical fiber systems. , 2008, Optics express.

[38]  P. B. Macedo,et al.  Equilibrium Compressibilities and Density Fluctuations in K2O–SiO2 Glasses , 1973 .

[39]  J. Hazemann,et al.  Density and concentration fluctuations in SiO2–GeO2 optical fiber glass investigated by small angle x-ray scattering , 2008 .

[40]  Noise power spectral density of a fibre scattered-light interferometer with a semiconductor laser source , 2013 .

[41]  J. Hazemann,et al.  In situ measurements of density fluctuations and compressibility in silica glasses as a function of temperature and thermal history , 2005, cond-mat/0510266.

[42]  M. Froggatt,et al.  High-spatial-resolution distributed strain measurement in optical fiber with rayleigh scatter. , 1998, Applied optics.