Delay compensated Optical Time and Frequency Distribution for Space Geodesy

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Delay compensated Optical Time and Frequency Distribution for Space Geodesy U. Schreiber 1, J. Kodet 1, U. Hessels 2, C. Bürkel 2 1 Technische Universität München, GO- Wettzell 2 Bundesamt für Kartographie und Geodäsie, GO- Wettzell In order to achieve a delay compensated time and frequency distribution, we have designed an all optical two-way system, which allows the campus synchronization of a distributed set of geodetic measurement systems in time and frequency with an accuracy of 1 ps. The goal is to make it possible to eventually use time as an observable and not as an adjustment parameter in a non-linear fitting process. With a centralized fs- pulse laser and a star like fiber network it is possible to reference all measurements to the same time scale and to control system biases. This opens the door to accurate closure measurements of system delays within each geodetic measurement technique and from one technique to the next (e.g. from SLR to VLBI).

Observation: Variable Delays at the level of > 2 cm τ 2 Δτ τ 1

The distribution of the broadband PPS time signal shows variability at the level of several hundred ps. 600 ps over a longer period: t 5 ns

Gallileo IOV satellites: Clock correction vs.angle β 0 Δu orbit error migrates to the clock estimates

τ Clock and measured delay (orbit) are highly correlated for the 1-way techniques + variable and unrecognized system delays are causing biases Svehla et al. 2013 Consequence: Degradation of geodetic product quality

SLR Orbits of GPS 35 and 36 shown against the GNSS derived orbit. Improvements in the radiation pressure model reduced the observed discrepancy around the end of 2005. Urschl 2006

Closure measurements are powerful tools Observation: Clocks accumulate all sorts of systematics (Delays) of the various techniques. Therefore clock parameters are showing technique specific delays. This applies for inter- and intra- technique comparisons. Goal: It would be desirable to operate a Common (super) Clock for all techniques within an observatory and link the instrumentation with a super-conductor for time and tie all techniques to a single point regardless of their nature

SLR: ranging in the optical domain Systematics SLR: timing in the microwave domain Mode-locked fs- lasers ultra-low noise optical pulse trains ultra-low noise microwave signals

Two- Way Timing Techniques (local) 2-Way compensation technique only possible in the optical domain Example: FEL in Trieste required broadband signal available from fs-pulse lasers only Expected uncertainty < 100 fs: 5 orders of magnitude gain over current situation Consequences for Local Survey: 1 mm = 3 ps Forschungseinrichtung Satellitengeodäsie

Consistency Check by Closure- Techniques lossless distribution Interpolator Geodetic Techniques pps Maser f fs-pulses BOM-PD 2-way f, t, τ VLBI SLR Station Fiducial GNSS Single Point of Reference in Time and Space

Consistency Check by Closure- Techniques lossless distribution Interpolator Geodetic Techniques pps VLBI Maser f fs-pulses 2-way Comp. Clock BOM-PD f, t, τ SLR Opt. Ref. Cavities fiber links Station Fiducial GNSS Single Point of Reference in Time and Space

ELT (Time Transfer via ACES) WLRS T&F lab

Common Clock for Space Geodetic Techniques optical cross- correlation of 2 fiber lines (300 m) 6.4 fs r.m.s. Kim et al. Nature Photon, 2(12), 733 736, (2008) Electronic Laser Front-end Two way optical link stabilization 10-100 fs Laser Back-end Electronic Electrical timing signals Electrical timing signals electrical Timing stability ~1ps

Common Clock for Space Geodetic Techniques WLRS Electronic TWIN Laser Front-end stabilized delay Laser Back-end Electronic TWOTT stabilized delay T&F Electrical timing signals Laser Back-end Electronic

Comparison of Time: T&F - WLRS Scatter higher because of undue temperature variation in the time laboratory. Origin of jumps still unclear (Candidates: Plugs)

Connecting a local clock to the world - The ACES mission satellite time clock second received laser pulse ΔT = τ 2 T G T S transmitted laser pulse clock second returned laser pulse ground time T G ΔT T S τ clock fiber link station fiducial see P. Exertier et al: Optical Laser Time Transfer for accurate Clocks in Space see J. Eckl et al.: Ground station requirements for optical Time Transfer

Inter Continental Time Transfer via ACES

global station fiducial Target/Source

2-way 1-way τ 1 τ 2 clk Closure via the clock see Kodet et al.: Optical Time Transfer and its Impact on System Biases

Station Fiducial VLBI Concept τ c1 τ I1 τ I2 τ c2 ADC ADC τ cut CLK

Universal Target VLBI Concept τ c1 τ I1 τ I2 τ c2 ADC ADC τ cut CLK Closure via the clock

IAG: Sub-Commision 1.1. Coordination of Space Geodetic Techniques WG 1.1.1 Co-location usings Clocks and New Sensors The establishment of accurate local ties of different space geodetic techniques at fundamental geodetic observatories poses a long-standing problem. While geometric ties can be determined at sub-millimeter-level, the relation to physical phase centers of the instruments and temporal stability of such offsets are usually known with significantly lower precision. Novel ways for inter-technique calibration at a geodetic site need to be developed using existing and new sensors and technologies, such as highly accurate time and frequency transfer, ultra-stable clocks, and co-location targets. Complementary to such development the tying of techniques shall be exploited to their limits at the analysis level e.g. to using common clock and troposphere parameters.