Universal formalism for data sharing and processing in clock comparison networks

Abstract

We present a mathematical framework adapted to the comparison of atomic clocks remotely connected by a complex network of optical or microwave links. This framework facilitates the computation of frequency ratios using a generic set of equations that are valid for a wide variety of clock architectures, making the comparison of a large number of clocks practical. This formalism suggests a generic data exchange protocol that can be used in clock comparison collaborations, for which data logging and decision taking are completely local procedures, independently implemented by the participants.

21 pages, 5 figures

References in corpus (15)

• A clock network for geodesy and fundamental science
• Kerr-lens mode-locked lasers as transfer oscillators for optical frequency measurements
• Test of special relativity using a fiber network of optical clocks
• Coherent optical frequency transfer at 5e-19 over a doubled 642 km fiber link
• Ultra-precise measurement of optical frequency ratios
• Direct Comparison of Distant Optical Lattice Clocks at the $10^{-16}$ Uncertainty
• Brillouin amplification supports $1\times 10^{-20}$ accuracy in optical frequency transfer over 1400~km of underground fibre
• Cascaded optical fiber link using the Internet network for remote clocks comparison
• First international comparison of fountain primary frequency standards via a long distance optical fiber link
• Ultra-stable laser with average fractional frequency drift rate below $5\times 10^{-19}/\mathrm{s}$
• On the relation between uncertainties of weighted frequency averages and the various types of Allan deviations
• Direct comparisons of European primary and secondary frequency standards via satellite techniques
• Combining fiber Brillouin amplification with a repeater laser station for fiber-based optical frequency dissemination over 1400 km
• Characterization of a 450-km Baseline GPS Carrier-Phase Link using an Optical Fiber Link
• Chronometric geodesy: methods and applications

Cited by in corpus (3)

• Coordinated international comparisons between optical clocks connected via fiber and satellite links
• Absolute frequency measurement of a Yb optical clock at the limit of the Cs fountain
• International Optical Clock Comparison Using the European Optical Fiber Network