- Open Access
Dual-quadrature phasemeter for space-based interferometry
Phys. Rev. Applied 24, 014009 – Published 2 July, 2025
DOI: https://doi.org/10.1103/35vl-5wh1
Abstract
This letter presents a dual-quadrature phasemeter, an implementation of a phase-locked loop designed to track the phase of homodyne and heterodyne intersatellite laser links. Dual-quadrature phasemeters use dual-quadrature optical detection to enable an alternate phase readout scheme that operates with wider bandwidths and on signals with carrier-frequency differences down to dc. Analytical modeling demonstrates that dual-quadrature phasemeters overcome the bandwidth limitations of conventional phasemeters. Numerical simulations of noise linearity tests found that the phase-tracking error of the dual-quadrature phasemeter is less than 10 in the presence of nonlinear cyclic errors. The dual-quadrature phasemeter enables exploration of an optical configuration for retroreflector-based space geodesy missions with architecture similar to that implemented in the Gravity Recovery and Climate Experiment Follow-On mission. One such alternate configuration is proposed that is capable of tracking satellite separation without requiring a frequency offset between local and incoming light, eliminating the need for optical frequency shifters.
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References (20)
- G.-C. Hsieh and J. Hung, Phase-locked loop techniques. A survey, IEEE Trans. Ind. Electron. 43, 609 (1996).
- R. C. Stephens Phase-Locked Loops for Wireless Communications: Digital, Analog and Optical Implementations (Springer US, Boston, MA, 2002), 2nd ed.
- D. Shaddock, B. Ware, P. G. Halverson, R. E. Spero, and B. Klipstein, in AIP Conference Proceedings, (AIP, Greenbelt, Maryland (USA), 2006), Vol. 873, p. 654, ISSN: 0094243X.
- F. W. Landerer et al., Extending the global mass change data record: GRACE Follow-On instrument and science data performance, Geophys. Res. Lett. 47, e2020GL088306 (2020).
- B. Bachman, G. d. Vine, J. Dickson, S. Dubovitsky, J. Liu, W. Klipstein, K. McKenzie, R. Spero, A. Sutton, B. Ware, and C. Woodruff, Flight phasemeter on the Laser Ranging Interferometer on the GRACE Follow-On mission, J. Phys.: Conf. Ser. 840, 012011 (2017).
- 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).
- C. S. Sambridge, J. T. Valliyakalayil, and K. McKenzie, Comparing link budget requirements for future space-based interferometers, Remote Sens. 16, 3598 (2024).
- M. Taylor, Coherent detection method using DSP for demodulation of signal and subsequent equalization of propagation impairments, IEEE Photonics Technol. Lett. 16, 674 (2004).
- M. G. Taylor, Phase estimation methods for optical coherent detection using digital signal processing, J. Lightwave Technol. 27, 901 (2009).
- L. Paillier, R. Le Bidan, J.-M. Conan, G. Artaud, N. Vedrenne, and Y. Jaouen, Space-ground coherent optical links: Ground receiver performance with adaptive optics and digital phase-locked loop, J. Lightwave Technol. 38, 5716 (2020).
- A. J. H. Sutton, Digital techniques for coherent optical metrology, Ph.D. thesis, The Australian National University, Canberra, 2013, https://openresearch-repository.anu.edu.au/handle/1885/151725.
- T. Keem, S. Gonda, I. Misumi, Q. Huang, and T. Kurosawa, Removing nonlinearity of a homodyne interferometer by adjusting the gains of its quadrature detector systems, Appl. Opt. 43, 2443 (2004).
- R. B. Garreis, degree optical hybrid for coherent receivers, in Proc. SPIE 1522, Optical Space Communication II (1991).
- J. Pietzsch, Scattering matrix analysis of 3*3 fiber couplers, J. Lightwave Technol. 7, 303 (1989).
- T. Eom, J. Kim, and K. Jeong, The dynamic compensation of nonlinearity in a homodyne laser interferometer, Meas. Sci. Technol. 12, 1734 (2001).
- P. Hu, J. Zhu, X. Guo, and J. Tan, Compensation for the variable cyclic error in homodyne laser interferometers, Sensors 15, 3090 (2015).
- 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).
- L. G. Kazovsky, L. Curtis, W. C. Young, and N. K. Cheung, All-fiber optical hybrid for coherent communications, Appl. Opt. 26, 437 (1987).
- G. B. Amata, A. Anselmi, S. Cesare, L. Massotti, and P. Silvestrin, in Sensors, Systems, and Next-Generation Satellites XXIII, edited by S. P. Neeck, T. Kimura, and P. Martimort (SPIE, Strasbourg, France, 2019), p. 32.
- T. Bandikova, C. McCullough, G. L. Kruizinga, H. Save, and B. Christophe, GRACE accelerometer data transplant, Adv. Space Res. 64, 623 (2019).