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Quantification of broadband chromatic drifts in Fabry–Pérot resonators for exoplanet science

Abstract

Finding an Earth–Sun analogue is one of the longest-standing goals in astronomy. The detection of such a system using the radial velocity (RV) technique is highly challenging, and would require coordinated advances in astronomical telescopes, fibre optics, precision spectrographs, large-format detector arrays and data processing. Measurements at the necessary 10−10 level over multiyear periods would also require a highly precise calibrator. Here we explore simple and robust white-light-illuminated Fabry–Pérot (FP) etalons as spectral calibrators for precise RV measurements. We track the frequencies of up to 13,000 FP modes against laser frequency combs at two state-of-the-art spectrographs and trace unexpected chromatic variations of the modes to subpicometre changes in the dielectric layers of the broad-bandwidth FP mirrors, corresponding to a RV precision at the centimetres per second level. These results represent critical progress in precision RV measurements in two ways—they validate FP etalons as a more powerful stand-alone calibration tool and demonstrate the capability of laser frequency combs to extend RV measurement precision at the centimetres per second level over periods approaching a year. These advances highlight a path to achieving spectroscopic calibration at levels that will be critical for finding Earths like our own.

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Fig. 1: Introduction to etalon drift measurement.
Fig. 2: Etalon mirror coatings.
Fig. 3: Fits to the drift data.

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Data availability

All data needed to reproduce the results of this Article are available at https://scholar.colorado.edu/concern/datasets/m326m3334 (ref. 51).

References

  1. Lovis, C. et al. Radial velocity techniques for exoplanets. In Exoplanets (ed. Seager, S.) 27–53 (University of Arizona Press, 2010).

  2. Palle, E. et al. Ground-breaking exoplanet science with the ANDES spectrograph at the ELT. Preprint at https://arxiv.org/abs/2311.17075 (2023).

  3. Fischer, D. A. et al. State of the field: extreme precision radial velocities. Publ. Astron. Soc. Pacif. 128, 066001 (2016).

    Article 
    ADS 
    MATH 

    Google Scholar 

  4. Wang, S. X. et al. Characterizing and mitigating the impact of telluric absorption in precise radial velocities. Astron. J. 164, 211 (2022).

    Article 
    ADS 
    MATH 

    Google Scholar 

  5. Vanderburg, A. et al. Radial velocity planet detection biases at the stellar rotational period. Mon. Not. R. Astron. Soc. 459, 3565–3573 (2016).

    Article 
    ADS 
    MATH 

    Google Scholar 

  6. Mahadevan, S. et al. The Habitable-zone Planet Finder: a stabilized fiber-fed NIR Spectrograph for the Hobby-Eberly Telescope. Proc. SPIE 8446, 84461S (2012).

  7. Diddams, S. A., Vahala, K. & Udem, T. Optical frequency combs: coherently uniting the electromagnetic spectrum. Science 369, eaay3676 (2020).

    Article 

    Google Scholar 

  8. Murphy, M. T. et al. High-precision wavelength calibration of astronomical spectrographs with laser frequency combs. Mon. Not. R. Astron. Soc. 380, 839–847 (2007).

    Article 
    ADS 
    MATH 

    Google Scholar 

  9. McCracken, R. A., Charsley, J. M. & Reid, D. T. A decade of astrocombs: recent advances in frequency combs for astronomy [invited]. Opt. Express 25, 15058–15078 (2017).

    Article 
    ADS 

    Google Scholar 

  10. Metcalf, A. J. et al. Stellar spectroscopy in the near-infrared with a laser frequency comb. Optica 6, 233–239 (2019).

    Article 
    ADS 
    MATH 

    Google Scholar 

  11. Probst, R. A. et al. A crucial test for astronomical spectrograph calibration with frequency combs. Nat. Astron. 4, 603–608 (2020).

    Article 
    ADS 
    MATH 

    Google Scholar 

  12. Buisson, H., Fabry, C. & Bourget, H. An application of interference to the the study of the Orion Nebula. Astrophys. J. 40, 241–258 (1914).

    Article 
    ADS 
    MATH 

    Google Scholar 

  13. Schmidt, T. M. et al. Fundamental physics with ESPRESSO: towards an accurate wavelength calibration for a precision test of the fine-structure constant. Astron. Astrophys. 646, A144 (2021).

    Article 

    Google Scholar 

  14. Terrien, R. C. et al. Broadband stability of the Habitable Zone Planet Finder Fabry-Pérot etalon calibration system: evidence for chromatic variation. Astron. J. 161, 252 (2021).

    Article 
    ADS 
    MATH 

    Google Scholar 

  15. Halverson, S. et al. Development of fiber Fabry-Perot interferometers as stable near-infrared calibration sources for high resolution spectrographs. Publ. Astron. Soc. Pacif. 126, 445 (2014).

    Article 
    ADS 
    MATH 

    Google Scholar 

  16. Schäfer, S. et al. Two Fabry-Pérots and two calibration units for CARMENES. Proc. SPIE 10702, 1070276 (2018).

  17. Schmidt, T. M. et al. Chromatic drift of the espresso Fabry-Pérot etalon. Astron. Astrophys. 664, A191 (2022).

    Article 
    MATH 

    Google Scholar 

  18. Wildi, F., Pepe, F., Chazelas, B., Curto, G. L. & Lovis, C. A Fabry-Perot calibrator of the HARPS radial velocity spectrograph: performance report. Proc. SPIE 7735, 77354X (2010).

  19. Gibson, S. R. et al. Keck Planet Finder: design updates. Proc. SPIE 11447, 1144742 (2020).

  20. Stürmer, J. et al. A rubidium traced white-light etalon calibrator for MAROON-X. Proc. SPIE 9912, 991229 (2016).

  21. Schwab, C. et al. Design of NEID, an extreme precision Doppler spectrograph for WIYN. Proc. SPIE 9908, 99087H (2016).

  22. Grieves, N. et al. NIRPS: the Near-InfraRed Planet Searcher joining HARPS on the 3.6-m. In European Planetary Science Congress 2021 EPSC2021-555 (Europlanet Science Congress, 2021).

  23. Cersullo, F., Wildi, François, Chazelas, B. & Pepe, F. A new infrared Fabry-Pérot-based radial-velocity-reference module for the spirou radial-velocity spectrograph. Astron. Astrophys. 601, A102 (2017).

    Article 
    ADS 

    Google Scholar 

  24. Crepp, J. R. et al. iLocater: a diffraction-limited Doppler spectrometer for the Large Binocular Telescope. Proc. SPIE 9908, 990819 (2016).

  25. Szentgyorgyi, A. et al. G@M: design of the Giant Magellan Telescope Consortium Large Earth Finder (G-CLEF) for operations at the Magellan telescopes. Proc. SPIE 12184, 121841N (SPIE, 2022).

  26. Martin, M. J. & Ye, J. in Optical Coatings and Thermal Noise in Precision Measurement (eds Harry, G. M. et al.) 237–258 (Cambridge University Press, 2012).

  27. Storz, R., Braxmaier, C., Jäck, K., Pradl, O. & Schiller, S. Ultrahigh long-term dimensional stability of a sapphire cryogenic optical resonator. Opt. Lett. 23, 1031–1033 (1998).

    Article 
    ADS 

    Google Scholar 

  28. Robinson, J. M. et al. Crystalline optical cavity at 4 K with thermal-noise-limited instability and ultralow drift. Optica 6, 240–243 (2019).

    Article 
    ADS 
    MATH 

    Google Scholar 

  29. Alnis, J., Matveev, A., Kolachevsky, N., Udem, T. & Hänsch, T. W. Subhertz linewidth diode lasers by stabilization to vibrationally and thermally compensated ultralow-expansion glass Fabry-Pérot cavities. Phys. Rev. A 77, 053809 (2008).

    Article 
    ADS 
    MATH 

    Google Scholar 

  30. Hirata, S., Akatsuka, T., Ohtake, Y. & Morinaga, A. Sub-hertz-linewidth diode laser stabilized to an ultralow-drift high-finesse optical cavity. Appl. Phys. Express 7, 022705 (2014).

    Article 
    ADS 

    Google Scholar 

  31. Ito, I., Silva, A., Nakamura, T. & Kobayashi, Y. Stable CW laser based on low thermal expansion ceramic cavity with 4.9 mHz/s frequency drift. Opt. Express 25, 26020–26028 (2017).

    Article 
    ADS 

    Google Scholar 

  32. Schwab, C. et al. Stabilizing a Fabry-Pérot etalon peak to 3 cm s for spectrograph calibration. Publ. Astron. Soc. Pacif. 127, 880–889 (2015).

    Article 
    ADS 
    MATH 

    Google Scholar 

  33. Betters, C. H., Leon-Saval, S. G. & Bland-Hawthorn, J. Photonic comb: a stabilized single-mode fiber etalon for wavelength calibration. Appl. Opt. 63, D14–D20 (2024).

    Article 

    Google Scholar 

  34. Tang, L. et al. Drift performance and chromatic thermal response of a temperature stabilized solid-etalon calibrator. Astron. J. 165, 156 (2023).

    Article 
    ADS 
    MATH 

    Google Scholar 

  35. Berthold, J. W., Jacobs, S. F. & Norton, M. A. Dimensional stability of fused silica, invar, and several ultra-low thermal expansion materials. Metrologia 13, 9–16 (1977).

    Article 
    ADS 
    MATH 

    Google Scholar 

  36. Hils, D., Hall, J. L. & De Marchi, A. in Frequency Standards and Metrology (ed. De Marchi, A.) 162–173 (Springer, 1989).

  37. Jennings, J. et al. Frequency stability of the mode spectrum of broad bandwidth Fabry-Pérot interferometers. OSA Contin. 3, 1177–1193 (2020).

    Article 
    MATH 

    Google Scholar 

  38. Hill, I. R. et al. Dual-axis cubic cavity for drift-compensated multi-wavelength laser stabilisation. Opt. Express 29, 36758–36768 (2021).

    Article 
    ADS 

    Google Scholar 

  39. Wang, S. et al. Integrated multiple wavelength stabilization on a multi-channel cavity for a transportable optical clock. Opt. Express 28, 11852–11860 (2020).

    Article 
    ADS 

    Google Scholar 

  40. Milani, G. et al. Multiple wavelength stabilization on a single optical cavity using the offset sideband locking technique. Opt. Lett. 42, 1970–1973 (2017).

    Article 
    ADS 
    MATH 

    Google Scholar 

  41. Arias, N., González, L. J., Abediyeh, V. & Gomez, E. Frequency locking of multiple lasers to an optical cavity. J. Opt. Soc. Am. B 35, 2394–2398 (2018).

    Article 
    ADS 
    MATH 

    Google Scholar 

  42. Dawel, F. et al. Coherent photo-thermal noise cancellation in a dual-wavelength optical cavity for narrow-linewidth laser frequency stabilisation. Opt. Express 32, 7276–7288 (2024).

    Article 
    ADS 
    MATH 

    Google Scholar 

  43. Berthold, J. Dimensionality Stability of Low Expansion Materials – Time Dependent Changes in Optical Contact Interfaces and Phase Shifts on Reflection from Multilayer Dielectrics. PhD thesis, Univ. Arizona (1976).

  44. Kreider, M. K., Rehan, A. Q., Kent, R. M., Bezerra, A. T. & Rebello Sousa Dias, M. Al-Au thin films for thermally stable and highly sensitive plasmonic sensors. J. Phys. Chem. C 126, 5628–5639 (2022).

    Article 

    Google Scholar 

  45. Burnett, D. The relation between refractive index and density. Math. Proc. Camb. Phil. Soc. 23, 907–911 (1927).

    Article 
    ADS 
    MATH 

    Google Scholar 

  46. Abadias, G. & Guerin, P. In situ stress evolution during magnetron sputtering of transition metal nitride thin films. Appl. Phys. Lett. 93, 111908 (2008).

    Article 
    ADS 
    MATH 

    Google Scholar 

  47. Mahadevan, S. et al. The Habitable-zone Planet Finder: a status update on the development of a stabilized fiber-fed near-infrared spectrograph for the for the Hobby-Eberly telescope. Proc. SPIE 9147, 91471G (2014).

  48. Halverson, S. et al. A comprehensive radial velocity error budget for next generation Doppler spectrometers. Proc. SPIE 9908, 99086P (2016).

  49. Robertson, P. et al. Ultrastable environment control for the NEID spectrometer: design and performance demonstration. J. Astron. Telesc. Instrum. Syst. 5, 015003 (2019).

    ADS 
    MATH 

    Google Scholar 

  50. NEID Specsoft Team NEID Data Reduction Pipeline: NEID-DRP (NEID, 2024); https://neid.ipac.caltech.edu/docs/NEID-DRP

  51. Kreider, M. K. et al. Quantifying broadband chromatic drifts in Fabry-Perot resonators for exoplanet science. CU Scholar https://scholar.colorado.edu/concern/datasets/m326m3334 (2024).

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Acknowledgements

We acknowledge helpful discussions with J. Stürmer on mirror coatings, who has also pointed out the importance of relaxation of the stress in the outer dielectric coating layers and its impact on the variation of the mirror properties. We also acknowledge useful technical conversations with M. Rebello de Sousa Dias about optical modelling and material properties. We are grateful for financial support from NIST award number 70NANB18H006 from the US Department of Commerce (C.F.) and from NSF grant numbers AAG 2108512 (S.M.), ATI 2009889 (S.M.), ATI 2009982 (S.A.D.), ATI 2009955 (R.C.T.), AST 1310875 (S.A.D.) and AST 1310885 (S.M.). NEID DRP development is supported by JPL Subcontract 1644767 (C.F.B.). M.K.K. acknowledges support from the NSF Graduate Research Fellowship Program. The Hobby–Eberly Telescope (HET) is a joint project of the University of Texas at Austin, the Pennsylvania State University, Ludwig-Maximilians-Universität München and Georg-August-Universität Göttingen. The HET is named in honour of its principal benefactors, William P. Hobby and Robert E. Eberly. The Center for Exoplanets and Habitable Worlds and the Penn State Extraterrestrial Intelligence Center are supported by Penn State and its Eberly College of Science.

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Authors and Affiliations

  1. Department of Physics, University of Colorado Boulder, Boulder, CO, USA

    Molly Kate Kreider, Connor Fredrick & Scott A. Diddams

  2. Electrical Computer and Energy Engineering, University of Colorado Boulder, Boulder, CO, USA

    Molly Kate Kreider, Connor Fredrick & Scott A. Diddams

  3. Time and Frequency Division, National Institute of Standards and Technology, Boulder, CO, USA

    Molly Kate Kreider, Connor Fredrick & Scott A. Diddams

  4. Department of Physics and Astronomy, Carleton College, Northfield, MN, USA

    Ryan C. Terrien

  5. Department of Astronomy & Astrophysics, The Pennsylvania State University, University Park, PA, USA

    Suvrath Mahadevan, Fred Hearty & Jason T. Wright

  6. Astrobiology Research Center, The Pennsylvania State University, University Park, PA, USA

    Suvrath Mahadevan

  7. Center for Exoplanets and Habitable Worlds, The Pennsylvania State University, University Park, PA, USA

    Suvrath Mahadevan, Fred Hearty & Jason T. Wright

  8. Department of Astronomy and Astrophysics, Tata Institute of Fundamental Research, Mumbai, India

    Joe P. Ninan

  9. Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, USA

    Samuel Halverson

  10. Steward Observatory, University of Arizona, Tucson, AZ, USA

    Chad F. Bender

  11. LightMachinery Inc., Nepean, Ontario, Canada

    Daniel Mitchell

  12. NSF NOIRLab, Tucson, AZ, USA

    Jayadev Rajagopal

  13. Schmidt Sciences, New York, NY, USA

    Arpita Roy

  14. School of Mathematical and Physical Sciences, Macquarie University, North Ryde, New South Wales, Australia

    Christian Schwab

  15. Penn State Extraterrestrial Intelligence Center, University Park, PA, USA

    Jason T. Wright

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  1. Molly Kate Kreider
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Contributions

R.C.T., S.M., J.P.N., S.H., C.F.B., F.H., J.R., A.R., C.S. and J.T.W. built the NEID and HPF instruments and acquired the etalon drift data. M.K.K., C.F. and S.A.D. developed the model to explain the etalon drift. M.K.K., C.F., S.A.D., R.C.T. and S.M. analysed the data and wrote the initial draft of the paper. D.M. provided information on the mirror coating structure and advised on drift sources. All authors discussed the results and contributed to revising and editing the final paper.

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Molly Kate Kreider or Scott A. Diddams.

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Kreider, M.K., Fredrick, C., Diddams, S.A. et al. Quantification of broadband chromatic drifts in Fabry–Pérot resonators for exoplanet science.
Nat Astron (2025). https://doi.org/10.1038/s41550-025-02486-x

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  • Received: 24 April 2024

  • Accepted: 17 January 2025

  • Published: 26 February 2025

  • DOI: https://doi.org/10.1038/s41550-025-02486-x

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