Electromagnetic waves in the Kerr–Schild metric

Christie, David

doi:10.1007/s10714-007-0515-2

Cited by 3 publications

(5 citation statements)

References 24 publications

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“…The equations presented here coincide with those of Ref. [29], see also Ref. [32] for the relation to other formalisms based on 3+1 decompositions such as those of Refs.…”

Section: Review Of Geometrical Opticssupporting

confidence: 81%

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The Response of Laser Interferometric Gravitational Wave Detectors Beyond the Eikonal Equation

Mieling

2021

Preprint

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The response of Michelson interferometers to weak plane gravitational waves is computed at one order of accuracy beyond the eikonal equation. The modulation of the electromagnetic field amplitude and polarisation are taken into account by solving the transport equations of geometrical optics with boundary conditions adapted to laser interferometry. An explicit formula for the interferometer output power is derived, comprising perturbations of the optical path length, frequency, amplitude and polarisation.

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“…The equations presented here coincide with those of Ref. [29], see also Ref. [32] for the relation to other formalisms based on 3+1 decompositions such as those of Refs.…”

Section: Review Of Geometrical Opticssupporting

confidence: 81%

“…Subsequent analyses of gw effects beyond the eikonal equation were provided for single light rays [27], optical cavities [28] (where the problem is typically reduced to a single dimension for simplicity), and Ref. [29] provided examples of polarisation effects in Kerr-Schild gw metrics.…”

Section: Introductionmentioning

confidence: 99%

The Response of Laser Interferometric Gravitational Wave Detectors Beyond the Eikonal Equation

Mieling

2021

Preprint

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“…This section briefly reviews the transport equations of geometrical optics in a notation useful for the following analysis. The equations presented here coincide with those of reference [30], see also reference [33] for the relation to other formalisms based on 3 + 1 decompositions such as those of references [34,35].…”

Section: Review Of Geometrical Opticssupporting

confidence: 74%

“…Subsequent analyses of GW effects beyond the eikonal equation were provided for single light rays [28], optical cavities [29] (where the problem is typically reduced to a single dimension for simplicity), and reference [30] provided examples of polarisation effects in Kerr-Schild GW metrics. However, we are not aware of comprehensive analyses of laser interferometers taking all these effects into account and allowing for arbitrary alignments relative to the GW.…”

Section: Introductionmentioning

confidence: 99%

The response of laser interferometric gravitational wave detectors beyond the eikonal equation

Mieling

2021

Class. Quantum Grav.

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The response of Michelson interferometers to weak plane gravitational waves is computed at one order of accuracy beyond the eikonal equation. The modulation of the electromagnetic field amplitude and polarisation are taken into account by solving the transport equations of geometrical optics with boundary conditions adapted to laser interferometry. Considering both DC and balanced homodyne readout schemes, explicit formulae for the interferometer output signals are derived. These signals comprise perturbations of the optical path length, frequency and amplitude, and are shown to be insensitive to polarisation perturbations.

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“…The perturbation of light by weak gravitational waves (GW's) has been discussed extensively in the literature [1][2][3][4][5][6]. However, some previously published results yield ill-behaved expressions in the parallel limit, where the electromagnetic and gravitational waves propagate in the same direction.…”

Section: Introductionmentioning

confidence: 99%