Abstract
A new geometric approximation scheme, designed to solve the covariant Maxwell equations inside a rotating hollow slender conducting cavity (modelling a ring-laser) on a background spacetime, is constructed. It is shown that for well-defined conditions the electromagnetic spectrum splits into TE- and TM-type modes. A twisted mode spectrum is found to depend on the integrated Frenet torsion of the cavity and this in turn may affect the Sagnac beat frequency induced by a non-zero rotation of the cavity.
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Tucker, R.W., Burton, D.A. & Noble, A. Geometry, Sagnac ring lasers and twisted EM modes. Gen Relativ Gravit 37, 1555–1574 (2005). https://doi.org/10.1007/s10714-005-0136-6
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DOI: https://doi.org/10.1007/s10714-005-0136-6