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Experimental demonstration of an on-axis laser ranging interferometer for future gravity missions
Phys. Rev. Applied 25, 044039 – Published 15 April, 2026
DOI: https://doi.org/10.1103/5r3c-9n8z
Abstract
We experimentally demonstrate an interferometric architecture for next-generation gravity missions, featuring a laser ranging interferometer (LRI) that enables monoaxial transmission and reception of laser beams between two optical benches with a heterodyne frequency of 7.3 MHz. Active beam-steering loops, utilizing differential wavefront sensing signals, ensure coalignment between the receiving beam and the transmitting beam. With spacecraft attitude jitter simulated by hexapod-driven rotations, the interferometric link achieves a pointing stability below in the frequency range between 0.2 mHz and 0.5 Hz, and the fluctuation of the transmitting beam’s polarization state results in a reduction of 0.14% in the carrier-to-noise-density ratio over a 15 h continuous measurement. Additionally, tilt-to-length coupling is experimentally investigated using the periodic scanning of the hexapod. Experimental results show that the on-axis LRI enables the interspacecraft ranging measurements with nanometer accuracy, making it a potential candidate for future GRACE-like missions.
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References (42)
- B. D. Tapley, S. Bettadpur, M. Watkins, and C. Reigber, The gravity recovery and climate experiment: Mission overview and early results, Geophys. Res. Lett. 31, L09607 (2004).
- B. Tapley, J. Ries, S. Bettadpur, D. Chambers, M. Cheng, F. Condi, B. Gunter, Z. Kang, P. Nagel, R. Pastor, T. Pekker, S. Poole, and F. Wang, GGM02—An improved Earth gravity field model from GRACE, J. Geod. 79, 467 (2005).
- B. D. Tapley, S. Bettadpur, J. C. Ries, P. F. Thompson, and M. M. Watkins, GRACE measurements of mass variability in the Earth system, Science 305, 503 (2004).
- R. P. Kornfeld, B. W. Arnold, M. A. Gross, N. T. Dahya, W. M. Klipstein, P. F. Gath, and S. Bettadpur, GRACE-FO: The gravity recovery and climate experiment follow-on mission, J. Spacecr. Rockets 56, 931 (2019).
- P. L. Bender, J. W. Conklin, and D. N. Wiese, Short-period mass variations and the next generation gravity mission, J. Geophys. Res.: Solid Earth 130, e2024JB030290 (2025).
- R. Haagmans, C. Siemes, L. Massotti, O. Carraz, and P. Silvestrin, ESA’s next-generation gravity mission concepts, Rend. Lincei Sci. Fis. Nat. 31, 15 (2020).
- K. Ghobadi-Far, S.-C. Han, C. M. McCullough, D. N. Wiese, D.-N. Yuan, F. W. Landerer, J. Sauber, and M. M. Watkins, GRACE Follow-On laser ranging interferometer measurements uniquely distinguish short-wavelength gravitational perturbations, Geophys. Res. Lett. 47, e2020GL089445 (2020).
- K. Abich et al., In-orbit performance of the GRACE Follow-On laser ranging interferometer, Phys. Rev. Lett. 123, 031101 (2019).
- B. Sheard, G. Heinzel, K. Danzmann, D. Shaddock, W. Klipstein, and W. Folkner, Intersatellite laser ranging instrument for the GRACE follow-on mission, J. Geod. 86, 1083 (2012).
- G. Heinzel, C. Braxmaier, K. Danzmann, P. Gath, J. Hough, O. Jennrich, U. Johann, A. Rüdiger, M. Sallusti, and H. Schulte, Lisa interferometry: Recent developments, Classical Quantum Gravity 23, S119 (2006).
- D. Schütze, G. Stede, V. Müller, O. Gerberding, T. Bandikova, B. S. Sheard, G. Heinzel, and K. Danzmann, Laser beam steering for GRACE Follow-On intersatellite interferometry, Opt. Express 22, 24117 (2014).
- F. W. Landerer, D. N. Wiese, M. Gross, F. M. Flechtner, H. Save, S. Fischer, C. M. McCullough, C. Dahle, S. V. Bettadpur, R. Gaston, and K. Snopek, in AGU Fall Meeting Abstracts (American Geophysical Union (AGU), Washington, D.C., 2024), Vol. 2024, pp. G21A–01.
- K. Nicklaus, K. Voss, A. Feiri, M. Kaufer, C. Dahl, M. Herding, B. A. Curzadd, A. Baatzsch, J. Flock, M. Weller, V. Müller, G. Heinzel, M. Misfeldt, and J. J. E. Delgado, Towards NGGM: Laser tracking instrument for the next generation of gravity missions, Remote Sens. 14, 4089 (2022).
- K. Nicklaus, S. Cesare, L. Massotti, L. Bonino, S. Mottini, M. Pisani, and P. Silvestrin, Laser metrology concept consolidation for NGGM, CEAS Space J. 12, 313 (2020).
- D. Schütze, V. Müller, G. Stede, B. S. Sheard, G. Heinzel, K. Danzmann, A. J. Sutton, and D. A. Shaddock, Retroreflector for GRACE follow-on: Vertex vs point of minimal coupling, Opt. Express 22, 9324 (2014).
- R. L. Ward et al., The design and construction of a prototype lateral-transfer retro-reflector for inter-satellite laser ranging, Classical Quantum Gravity 31, 095015 (2014).
- O. Mandel, A. Sell, M. Chwalla, T. Schuldt, J. Krauser, D. Weise, and C. Braxmaier, Architecture and performance analysis of an optical metrology terminal for satellite-to-satellite laser ranging, Appl. Opt. 59, 653 (2020).
- Y. Yang, K. Yamamoto, M. Dovale Álvarez, D. Wei, J. J. Esteban Delgado, V. Müller, J. Jia, and G. Heinzel, On-axis optical bench for laser ranging instruments in future gravity missions, Sensors 22, 2070 (2022).
- P. Amaro-Seoane et al., Laser interferometer space antenna, arXiv:1702.00786.
- Z. Luo, Z. Guo, G. Jin, Y. Wu, and W. Hu, A brief analysis to Taiji: Science and technology, Results Phys. 16, 102918 (2020).
- J. Luo, L.-S. Chen, H.-Z. Duan, Y.-G. Gong, S. Hu, J. Ji, Q. Liu, J. Mei, V. Milyukov, M. Sazhin, C.-G. Shao, V. T. Toth, H.-B. Tu, Y. Wang, Y. Wang, H.-C. Yeh, M.-S. Zhan, Y. Zhang, V. Zharov, and Z.-B. Zhou, TianQin: A space-borne gravitational wave detector, Classical Quantum Gravity 33, 035010 (2016).
- S. Kawamura, M. Ando, N. Seto, S. Sato, T. Nakamura, K. Tsubono, N. Kanda, T. Tanaka, J. Yokoyama, I. Funaki, et al., The Japanese space gravitational wave antenna: DECIGO, Classical Quantum Gravity 28, 094011 (2011).
- G. Vallone, D. Dequal, M. Tomasin, F. Vedovato, M. Schiavon, V. Luceri, G. Bianco, and P. Villoresi, Interference at the single photon level along satellite-ground channels, Phys. Rev. Lett. 116, 253601 (2016).
- H.-N. Wu, Y.-H. Li, B. Li, X. You, R.-Z. Liu, J.-G. Ren, J. Yin, C.-Y. Lu, Y. Cao, C.-Z. Peng, et al., Single-photon interference over 8.4 km urban atmosphere: Toward testing quantum effects in curved spacetime with photons, Phys. Rev. Lett. 133, 020201 (2024).
- C.-Y. Lu, Y. Cao, C.-Z. Peng, and J.-W. Pan, Micius quantum experiments in space, Rev. Mod. Phys. 94, 035001 (2022).
- R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, and H. Ward, Laser phase and frequency stabilization using an optical resonator, Appl. Phys. B 31, 97 (1983).
- V. Müller, Design considerations for future geodesy missions and for space laser interferometry, Ph.D. thesis, Gottfried Wilhelm Leibniz Universität Hannover, Hannover, 2017.
- H. Gu, X. Chen, C. Zhang, H. Jiang, and S. Liu, Study of the retardance of a birefringent waveplate at tilt incidence by mueller matrix ellipsometer, J. Opt. 20, 015401 (2018).
- O. Gerberding, B. Sheard, I. Bykov, J. Kullmann, J. J. E. Delgado, K. Danzmann, and G. Heinzel, Phasemeter core for intersatellite laser heterodyne interferometry: Modelling, simulations and experiments, Classical Quantum Gravity 30, 235029 (2013).
- D. Shaddock, B. Ware, P. Halverson, R. Spero, and B. Klipstein, in AIP Conference Proceedings (American Institute of Physics, Maryland, USA, 2006), Vol. 873, pp. 654–660.
- T. S. Schwarze, Phase extraction for laser interferometry in space: Phase readout schemes and optical testing, Ph.D. thesis, Gottfried Wilhelm Leibniz Universität Hannover, Hannover, 2018.
- G. Heinzel, M. D. Álvarez, A. Pizzella, N. Brause, and J. J. E. Delgado, Tracking length and differential-wavefront-sensing signals from quadrant photodiodes in heterodyne interferometers with digital phase-locked-loop readout, Phys. Rev. Appl. 14, 054013 (2020).
- G. Wanner, G. Heinzel, E. Kochkina, C. Mahrdt, B. S. Sheard, S. Schuster, and K. Danzmann, Methods for simulating the readout of lengths and angles in laser interferometers with Gaussian beams, Opt. Commun. 285, 4831 (2012).
- E. Morrison, B. J. Meers, D. I. Robertson, and H. Ward, Automatic alignment of optical interferometers, Appl. Opt. 33, 5041 (1994).
- S. Daniel, Intersatellite laser interferometry Test environments for GRACE Follow-On, Ph.D. thesis, Leibniz University Hannover, Hannover, 2015.
- Newport Corporation, HXP Controller User’s Manual: Hexapod Motion Controller (Newport Corporation, Irvine, CA, USA, 2015).
- S. Goswami, S. P. Francis, T. Bandikova, and R. E. Spero, Analysis of GRACE Follow-On laser ranging interferometer derived inter-satellite pointing angles, IEEE Sens. J. 21, 19209 (2021).
- B. Bachman, G. De Vine, J. Dickson, S. Dubovitsky, J. Liu, W. Klipstein, K. McKenzie, R. Spero, A. Sutton, B. Ware, et al., in Journal of Physics: Conference Series (IOP Publishing, Zurich, Switzerland, 2017), Vol. 840, p. 012011.
- H. Wegener, V. Müller, G. Heinzel, and M. Misfeldt, Tilt-to-length coupling in the GRACE Follow-On laser ranging interferometer, J. Spacecr. Rockets 57, 1362 (2020).
- H. P. Wegener, Analysis of tilt-to-length coupling in the GRACE follow-on laser ranging interferometer, Ph.D. thesis, Gottfried Wilhelm Leibniz Universität Hannover, Hannover, 2022.
- K. Nicklaus, M. Herding, A. Baatzsch, M. Dehne, C. Diekmann, K. Voss, F. Gilles, B. Guenther, B. Zender, S. Boehme, et al., in International Conference on Space Optics—ICSO 2014 (SPIE, Tenerife, Spain, 2017), Vol. 10563, pp. 738–746.
- M. Tröbs and G. Heinzel, Improved spectrum estimation from digitized time series on a logarithmic frequency axis, Measurement 39, 120 (2006).