Large-scale optical interferometry in general spacetimes

Daniel R. Terno, Giuseppe Vallone, Francesco Vedovato, Paolo Villoresi

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Abstract

We introduce a convenient formalism to evaluate the phase of a light signal propagating on a general curved background. It allows us to obtain a transparent relation between the frequency-shift and the phase difference in large-scale optical interferometry for a general relativistic setting, as well as to derive compact expressions generalizing the Doppler effect in one-way and two-way schemes. Our recipe is easily applicable to stationary spacetimes, and in particular to the near-Earth experiments where the geometry is described in the parametrized post-Newtonian approximation. As an example, we use it to evaluate the phase difference arising in the optical version of the Colella-Overhauser-Werner experiment.

Original languageEnglish
Article number104052
Pages (from-to)1-8
Number of pages8
JournalPhysical Review D: covering particles, fields, gravitation, and cosmology
Volume101
Issue number10
DOIs
Publication statusPublished - 15 May 2020

Bibliographical note

Copyright 2020 American Physical Society. Firstly published in Physical Review D, 101(10), 104052. The original publication is available at https://doi.org/10.1103/PhysRevD.101.104052. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

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