- Open Access
Coupling light waves to gravitational waves
Phys. Rev. D 112, 104033 – Published 12 November, 2025
DOI: https://doi.org/10.1103/g96h-6dg6
Abstract
We demonstrate analytically that gravitational waves, upon interacting with copropagating electromagnetic radiation in a plasma, induce distinctive sidebands on the modulated light, thereby providing a detectable signature of their presence. Employing a fully covariant coupled-wave framework, we envision gravitational waves as phase-insensitive luminal moving gratings and derive explicit phase-matching conditions that articulate such an interaction while conserving both energy and momentum. Beyond preserving the directional signature of gravitational waves, the coupling mechanism imposes no coherence requirements on the photon-by-graviton scattering, hence enabling possibilities for exploiting cosmic microwave background radiation. Although detection at low frequencies is constrained by the requirement of long interaction lengths, advances in laser technology are poised to enable high-frequency gravitational wave detection, potentially unveiling insights into the primordial spacetime ripples that have been traversing the cosmos since the inflationary epoch.
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References (37)
- O. Heaviside, Electrician 31, 281 (1893).
- A. Einstein, Sitzungsber. Königl. Preuß. Akad. Wiss. Berlin (Math. Phys.) 1, 688 (1916).
- J. Weber, Phys. Rev. 117, 306 (1960).
- B. P. Abbott et al. (LIGO Scientific Collaboration and Virgo Collaboration), Phys. Rev. Lett. 116, 061102 (2016).
- T. Damour and A. Vilenkin, Phys. Rev. D 64, 064008 (2001).
- A. M. Cruise, Classical Quantum Gravity 29, 095003 (2012).
- V. Domcke, C. Garcia-Cely, and N. L. Rodd, Phys. Rev. Lett. 129, 041101 (2022).
- M. E. Gertsenshtein, Sov. Phys. JETP 14, 84 (1962).
- Y. B. Zel’dovich, Zh. Eksp. Teor. Fiz. 65, 1311 (1973).
- N. Herman, A. F Huzfa, L. Lehoucq, and S. Clesse, Phys. Rev. D 104, 023524 (2021).
- J. B. Pendry, E. Galiffi, and P. A. Huidobro, Optica 8, 636 (2021).
- T. Z. Esirkepov and S. V. Bulanov, Phys. Rev. E 109, L023202 (2024).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/g96h-6dg6 which includes Refs. [14,15].
- E. J. Post, Formal Structure of Electromagnetics: General Covariance and Electromagnetics (Dover Publications, New York, 1997).
- B. F. Schutz, A First Course in General Relativity (Cambridge University Press, Cambridge, England, 1985).
- C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (W. H. Freeman and Company, San Francisco, 1970), pp. 388–389.
The TT gauge for weak GWs simplifies the Lorenz gauge to , ensuring compatibility: the former fixes the coordinates for , the latter is metric independent.
- B. T. Draine, Physics of the Interstellar and Intergalactic Medium (Princeton University Press, Princeton, NJ, 2011).
- S. M. Mahajan and F. A. Asenjo, Phys. Rev. E 107, 035205 (2023).
- F. A. Asenjo and S. M. Mahajan, arXiv:2406.18831.
In a plasma, introducing a constitutive tensor , the mode condition of Eq. (6.35) in Ref. [14] eliminates the rightmost term in .
- E. Falcón-Gómez, V. De Falco, K. Atia Abdalmalak, A. Amor-Martín, V. De La Rubia, G. Santamaría-Botello, and L. E. García Muñoz, Phys. Rev. D 107, 124042 (2023), cf. the insets of Fig. 2. Although properly treated there, Plebanski’s method requires caution [23].
- M. W. McCall, Phys. Rev. Lett. 98, 091102 (2007).
- D. Carney, V. Domcke, and N. L. Rodd, Phys. Rev. D 109, 044009 (2024).
Above the plasma frequency , EMWs in a plasma are regarded as subluminal because their group velocity, , falls below unity, even though their phase velocity, , exceeds it.
- S. F. Koufidis and M. W. McCall, Phys. Rev. A 106, 062213 (2022).
- S. F. Koufidis, T. T. Koutserimpas, and M. W. McCall, Opt. Lett. 48, 4500 (2023).
- S. A. R. Horsley and J. B. Pendry, Phys. Rev. Lett. 133, 156903 (2024).
- J. Zhang, W. Donaldson, and G. P. Agrawal, Phys. Rev. A 110, 043526 (2024).
Nonzero components per tensor follow. Tensor : , , , , , , , , , , , , , , , , , , , , , , , . Tensor : , , , . Tensor : , , , . Tensor : , , , . Tensor : . For analytic expressions see Sec. VII of Supplemental Material [13].
- A. Yariv, IEEE J. Quantum Electron. 9, 919 (1973).
- G. Vacalis, G. Marocco, J. Bamber, R. Bingham, and G. Gregori, Classical Quantum Gravity 40, 155006 (2023).
- T. D. Shoji, W. Xie, K. L. Silverman, A. Feldman, T. Harvey, R. P. Mirin, and T. R. Schibli, Optica 3, 995 (2016), see the RF spectrum plotted in Fig. 3(b).
- A. C. Harwood, S. Vezzoli, T. V. Raziman, C. Hooper, R. Tirole, F. Wu, S. A. Maier, J. B. Pendry, S. A. R. Horsley, and R. Sapienza, Nat. Commun. 16, 5147 (2025).
- S. F. Koufidis and M. W. McCall, Opt. Lett. 50, 5901 (2025).
- U. Seljak and M. Zaldarriaga, Phys. Rev. Lett. 78, 2054 (1997).
- G. Mentasti, C. R. Contaldi, and M. Peloso, Phys. Rev. Lett. 131, 221403 (2023).