High-stability transfer of an optical frequency over long fiber-optic links

We present theoretical predictions and experimental measurements for the achievable phase noise, timing jitter, and frequency stability in the coherent transport of an optical frequency over a fiber-optic link. Both technical and fundamental limitations to the coherent transfer are discussed. Measurements of the coherent transfer of an optical carrier over links ranging from 38 to 251 km demonstrate good agreement with theory. With appropriate experimental design and bidirectional transfer on a single optical fiber, the frequency instability at short times can reach the fundamental limit imposed by delay-unsuppressed phase noise from the fiber link, yielding a frequency instability that scales as link length to the 3/2 power. For two-way transfer on separate outgoing and return fibers, the instability is severely limited by differential fiber noise.

[1]  Ian Coddington,et al.  Coherent optical link over hundreds of metres and hundreds of terahertz with subfemtosecond timing jitter , 2007 .

[2]  N. Newbury,et al.  Coherent transfer of an optical carrier over 251 km. , 2007, Optics letters.

[3]  A Amy-Klein,et al.  Long-distance frequency dissemination with a resolution of 10(-17). , 2005, Physical review letters.

[4]  Keith H. Wanser.  Theory of thermal phase noise in Michelson and Sagnac fiber interferometers , 1994, Other Conferences.

[5]  S. Dawkins,et al.  Considerations on the Measurement of the Stability of Oscillators with Frequency Counters , 2007, 2007 IEEE International Frequency Control Symposium Joint with the 21st European Frequency and Time Forum.

[6]  Holger Schlarb,et al.  Long-term femtosecond timing link stabilization using a single-crystal balanced cross correlator , 2007 .

[7]  Jun Ye,et al.  Coherent optical phase transfer over a 32-km fiber with 1 s instability at 10{-17}. , 2007, Physical review letters.

[8]  David E McClelland,et al.  High-bandwidth laser frequency stabilization to a fiber-optic delay line. , 2006, Applied optics.

[9]  Modulation phase-shift measurement of PMD using only four launched polarisation states: a new algorithm , 1999 .

[10]  Christian Chardonnet,et al.  High resolution frequency standard dissemination via optical fiber metropolitan network , 2006 .

[11]  Seung-Tak Lee,et al.  Low-cost bidirectional optical amplifier using a unidirectional Er-doped fiber amplifier and a fiber Mach-Zehnder interferometer , 2001, IEEE Photonics Technology Letters.

[12]  Enrico Rubiola,et al.  On the measurement of frequency and of its sample variance with high-resolution counters , 2005 .

[13]  R. Dach,et al.  Comparison between frequency standards in Europe and the USA at the 10−15 uncertainty level , 2006 .

[14]  Jun Ye,et al.  Delivery of high-stability optical and microwave frequency standards over an optical fiber network , 2003 .

[15]  O. Lopez,et al.  Fiber frequency dissemination with resolution in the 10-18 range , 2006, 2006 IEEE International Frequency Control Symposium and Exposition.

[16]  L S Ma,et al.  Delivering the same optical frequency at two places: accurate cancellation of phase noise introduced by an optical fiber or other time-varying path. , 1994, Optics letters.

[17]  Akitoshi Ueda,et al.  Robust and precise length stabilization of a 25-km long optical fiber using an optical interferometric method with a digital phase-frequency discriminator , 2006 .

[18]  Jun Ye,et al.  Remote transfer of ultrastable frequency references via fiber networks. , 2007, The Review of scientific instruments.

[19]  J.J. McFerran,et al.  Considerations on the measurement of the stability of oscillators with frequency counters , 2007, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[20]  A. Clairon,et al.  Transmission of an Optical Carrier Frequency over a Telecommunication Fiber Link , 2007, 2007 Conference on Lasers and Electro-Optics (CLEO).

[21]  John L. Hall,et al.  Laser phase and frequency stabilization using an optical resonator , 1983 .