Relativistic corrections for time and frequency transfer in optical fibres

In this paper1 we derive formulas for relativistic corrections for one-way and two-way time and frequency transfer in optical fibres with accuracy of 1 ps for time transfer and relative accuracy of 10-18 for frequency transfer. The formulas can be used e.g. for comparisons of distant optical clocks connected by optical fibres.

[1]  Christian Chardonnet,et al.  Ultra-stable long distance optical frequency distribution using the Internet fiber network and application to high-precision molecular spectroscopy , 2012, Optics express.

[2]  Davide Calonico,et al.  Gravitational redshift at INRIM , 2007 .

[3]  Per Olof Hedekvist,et al.  Time Transfer between UTC(SP) and UTC(MIKE) Using Frame Detection in Fiber-Optical Communication networks , 2011 .

[4]  Gerard Petit,et al.  Atomic time, clocks, and clock comparisons in relativistic spacetime: a review , 2014 .

[5]  A. Ludlow,et al.  An Atomic Clock with 10–18 Instability , 2013, Science.

[6]  Heiner Denker,et al.  Regional Gravity Field Modeling: Theory and Practical Results , 2013 .

[7]  C. Le Poncin-Lafitte,et al.  General post-Minkowskian expansion of time transfer functions , 2008, 0803.0277.

[8]  T. Hänsch,et al.  A 920-Kilometer Optical Fiber Link for Frequency Metrology at the 19th Decimal Place , 2012, Science.

[9]  Theodor W. Hänsch,et al.  Optical frequency transfer over a single-span 1840 km fiber link , 2013, CLEO 2013.

[10]  Wei Zhang,et al.  An optical lattice clock with accuracy and stability at the 10−18 level , 2013, Nature.

[11]  P. Teyssandier,et al.  New method for determining the light travel time in static, spherically symmetric spacetimes. Calculation of the terms of order G3 , 2013, 1304.3683.

[12]  W. Gordon,et al.  Zur Lichtfortpflanzung nach der Relativitätstheorie , 1923 .

[13]  Peter Wolf,et al.  Relativistic theory for time and frequency transfer to order c -3 , 2000, gr-qc/0010108.

[14]  Gerard Petit,et al.  Relativistic theory for clock syntonization and the realization of geocentric coordinate times. , 1995 .

[15]  P. K. Seidelmann,et al.  The IAU 2000 Resolutions for Astrometry, Celestial Mechanics, and Metrology in the Relativistic Framework: Explanatory Supplement , 2003, astro-ph/0303376.

[16]  L. G. Cohen,et al.  Effect of temperature on transmission in lightguides , 1979, The Bell System Technical Journal.

[17]  D. Piester,et al.  International timescales with optical clocks (ITOC) , 2013, 2013 Joint European Frequency and Time Forum & International Frequency Control Symposium (EFTF/IFC).

[18]  Thomas Udem,et al.  Optical frequency transfer over a single-span 1840 km fiber link , 2013, CLEO: 2013.