Bandwidth and dynamic range of a pulsed local oscillator coherent optical receiver: application to the linear optical sampling

The optical transfer function of a pulsed local oscillator coherent receiver is derived. We point out that the transfer function is the amplitude of the spectral envelope of the locked optical modes of the pulsed local oscillator source. Using quantum theory of homodyne detection, and assuming an additive Gaussian circular optical noise, with a spectral density hν/2, at each optical input port of the optical mixer, a general discussion on the fundamental limit of the Signal-to-Noise Ratio of a pulsed coherent receiver is provided. It includes the influence of the time jitter of the sampling pulses. Results are numerically discussed in the context of time equivalent under sampling technique, but may be obviously extended to any real time sampling of optical signals.

[1]  Rodney Loudon,et al.  Quantum Theory of Optical Homodyne and Heterodyne Detection , 1987 .

[2]  N. Yamada,et al.  Ultra low timing jitter optical sampling system using passively mode-locked fiber laser , 2002, 2002 28TH European Conference on Optical Communication.

[3]  Susumu Machida,et al.  Quantum-limited operation of balanced mixer homodyne and heterodyne receivers , 1986 .

[4]  B. L. Schumaker,et al.  Noise in homodyne detection. , 1984, Optics letters.

[5]  J. Armstrong,et al.  Theory of Interferometric Analysis of Laser Phase Noise , 1966 .

[6]  Mark Beck,et al.  Ultrafast measurement of optical-field statistics by dc-balanced homodyne detection , 1995 .

[7]  H. Sunnerud,et al.  Software-synchronized all-optical sampling for fiber communication systems , 2005, Journal of Lightwave Technology.

[8]  Philippe Gallion,et al.  Signal and Quantum Noise in Optical Communications and Cryptography , 2009 .

[9]  Philippe Gallion,et al.  Quantum phase noise and field correlation in single frequency semiconductor laser systems , 1984 .

[10]  M. Karlsson,et al.  A Blind Phase Stabilization Algorithm for Parallel Coherent Receivers , 2011, Journal of Lightwave Technology.

[11]  F. Ito,et al.  Dual-Channel Linear Optical Sampling for Simultaneously Monitoring Ultrafast Intensity and Phase Modulation , 2009, Journal of Lightwave Technology.

[12]  R. Ludwig,et al.  160-Gb/s optical sampling by gain-transparent four-wave mixing in a semiconductor optical amplifier , 1999, IEEE Photonics Technology Letters.

[13]  Philippe Gallion,et al.  Basics of digital optical communications , 2002 .

[14]  Hermann A. Haus,et al.  From classical to quantum noise , 1995 .

[15]  V. Chan,et al.  Noise in homodyne and heterodyne detection. , 1983, Optics letters.

[16]  Hidehiko Takara,et al.  Bit rate flexible quality monitoring of 10 to 160 Gbit/s optical signals based on optical sampling technique , 2000 .

[17]  H. Sunnerud,et al.  All-Optical Waveform Sampling in High-Speed Optical Communication Systems Using Advanced Modulation Formats , 2009, Journal of Lightwave Technology.

[18]  Philip R. Hemmer,et al.  Fluctuations and noise in photonics and quantum optics III : 24-26 May 2005, Austin, Texas, USA , 2004 .

[19]  P.A. Andrekson,et al.  300-Gb/s eye-diagram measurement by optical sampling using fiber-based parametric amplification , 2001, IEEE Photonics Technology Letters.

[20]  K. Okamoto,et al.  Ultrafast Measurement of Optical DPSK Signals Using 1-Symbol Delayed Dual-Channel Linear Optical Sampling , 2008, IEEE Photonics Technology Letters.

[21]  R. H. Brown,et al.  Correlation between Photons in two Coherent Beams of Light , 1956, Nature.

[22]  C. Dorrer,et al.  High-speed measurements for optical telecommunication systems , 2006, IEEE Journal of Selected Topics in Quantum Electronics.

[23]  Vincent W. S. Chan,et al.  Noise in homodyne and heterodyne detection , 1983 .

[24]  C. Dorrer,et al.  Measurement of eye diagrams and constellation diagrams of optical sources using linear optics and waveguide technology , 2005, Journal of Lightwave Technology.

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

[26]  Martin M. Fejer,et al.  High sensitivity waveform measurement with optical sampling using quasi-phasematched mixing in LiNbO3 waveguide , 2001 .

[27]  Fumihiko Ito.  Demultiplexed detection of ultrafast optical signal using interferometric cross-correlation technique , 1997 .

[28]  N. Yamada,et al.  Jitter-free optical sampling system using passively modelocked fibre laser , 2002 .

[29]  Hiroshi Ohta,et al.  Improvement of sensitivity in optical sampling system , 1999 .

[30]  Bruno Lavigne,et al.  Self-pulsating semiconductor lasers for high bit-rate all-optical clock recovery , 2006, SPIE Optics East.

[31]  J. L. Gouët,et al.  Field cross correlator for analysis of ultrafast signals. , 1994, Applied optics.

[32]  Q. Xu,et al.  Dual-Threshold Balanced Homodyne Detection at 1550 nm Optical Fiber Quantum Key Distribution System , 2009, Journal of Lightwave Technology.

[33]  R.-J. Essiambre,et al.  Advanced Modulation Formats for High-Capacity Optical Transport Networks , 2006, Journal of Lightwave Technology.

[34]  C. Dorrer.  Monitoring of optical signals from constellation diagrams measured with linear optical sampling , 2006, Journal of Lightwave Technology.

[35]  A. Theodore Forrester,et al.  Photoelectric Mixing As a Spectroscopic Tool , 1961 .

[36]  Nobuhiko Kikuchi,et al.  Time-resolved waveform measurement of high-speed phase-modulated optical signals using self-homodyne interferometry , 2005 .

[37]  Jeffrey H. Shapiro,et al.  Quantum Gaussian noise , 2003, SPIE International Symposium on Fluctuations and Noise.

[38]  Harry L. Swinney,et al.  III Light Beating Spectroscopy , 1970 .

[39]  Ippei Shake,et al.  Optical signal quality monitoring method based on optical sampling , 1998 .

[40]  Feng Luan,et al.  High-Resolution Optical Sampling of 640-Gb/s Data Using Four-Wave Mixing in Dispersion-Engineered Highly Nonlinear As$_2$S $_3$ Planar Waveguides , 2010, Journal of Lightwave Technology.

[41]  Hiroshi Ohta,et al.  Measurement of Phase-Distribution of Phase-Modulated Optical Signals using Delayed Self-Homodyne Detection , 2006, 2006 European Conference on Optical Communications.

[42]  F. Ito.  Single-shot high-speed signal detection by multiple-angle spectral interferometry , 1996 .