Derives first-order EM perturbation equations from covariant Maxwell equations in GW backgrounds, shows equivalence of formulations, and calculates that typical GW strains of 10^{-21} induce EM responses of order 10^{-19} relative to incident fields.
On gravitational-electromagnetic resonance
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abstract
This is an English translation of the paper M.B.Mensky, in: K.P.Stanyukovich (ed.), "Problems of Theory of Gravity and Elementary Particles", issue 6, Moscow, Atomizdat, 1975, p.181-190 (in Russian). This paper elaborates further the idea (formulated in 1971 by Braginsky and Mensky) of detecting high-frequency gravitational waves by observing resonance action of a gravitational wave on the electromagnetic wave in a closed resonator (waveguide). The phenomenon underlying such a detector was called gravitational-electromagnetic resonance (GER). In the present paper both closed (for example circular) resonator or waveguide and long (for example in the shape of a spiral) waveguide are considered as possible gravitational-wave detectors. High-frequency gravitational-wave detectors are now again actual (see A.M.Cruise and R.M.J.Ingley, Class. Quant. Grav. 22, S479, 2005), but the current literature on this topic does not cover all the issues discussed in the present paper.
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First-Order Perturbations of Covariant Maxwell Equations in Gravitational Waves
Derives first-order EM perturbation equations from covariant Maxwell equations in GW backgrounds, shows equivalence of formulations, and calculates that typical GW strains of 10^{-21} induce EM responses of order 10^{-19} relative to incident fields.