High-Precision Laser Gravimeter

Arnautov, G. P.; Gik, L. D.; Kalish, E. N.; Koronkevitch, V. P.; Malyshev, I. S.; Nesterikhin, Yu. E.; Stus, Yu. F.; Tarasov, G. G.

doi:10.1364/ao.13.000310

“…This coincides with the standard result revised in [12]. 5 The standard uncertainty, or uncertainty u, of a result of measurement reflects the lack of exact knowledge of the value of the measurand. The expanded uncertainty, denoted by U, is obtained by multiplying the uncertainty by a coverage factor k [29].…”

Section: Constant Accelerationsupporting

confidence: 81%

“…Since both incident beams come from the splitting of the original signal, they share the same phase with the incoming beam ⃗ in (1) except for an irrelevant constant. The previous formulae (5) and (6) are very generic. In the case of an optical interferometer, one can recall from (1) that we are dealing with monochromatic electromagnetic waves.…”

Section: Methods Using Phase Analysis and Time Delaymentioning

confidence: 98%

“…These results were questioned by the authors of [15], who proposed a reconsideration of the theoretical derivation that deviates from [12] (and previous works [3][4][5][6][7][8][9][10][11]). The controversy was deepened after the claim in [16] of the first measurement of the 'speed of light perturbation' that apparently confirmed the calculations in [15].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Experimental assessment of the speed of light perturbation in free-fall absolute gravimeters

Baumann

¹

,

Pythoud

²

,

Blas

³

et al. 2015

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Precision absolute gravity measurements are growing in importance, especially in the context of the new definition of the kilogram. For the case of free-fall absolute gravimeters with a Michelson-type interferometer tracking the position of a free falling body, one of the effects that needs to be taken into account is the 'speed of light perturbation' due to the finite speed of propagation of light. This effect has been extensively discussed in the past, and there is at present a disagreement between different studies. In this work, we present the analysis of new data and confirm the result expected from the theoretical analysis applied nowadays in free-fall gravimeters. We also review the standard derivations of this effect (by using phase shift or Doppler effect arguments) and show their equivalence.

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“…For the specific case of four-level schema we considered in chapter 4.1.3, the correction obtained by the authors [22,23] is thrice less than in (38). In the paper [3], the authors applied the formula (A.5) to the four-level schema.…”

Section: Arnautov Et Al [22 23 24 3]mentioning

confidence: 84%

Correction due to the finite speed of light in absolute gravimeters

Nagornyi¹,

Zanimonskiy²,

Zanimonskiy³

2011

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Abstract. Correction due to finite speed of light is among the most inconsistent ones in absolute gravimetry. Formulas reported by different authors yield corrections scattered up to 8 µGal with no obvious reasons. The problem, though noted before, has never been studied, and nowadays the correction is rather postulated than rigorously proven. In this paper we make an attempt to revise the subject. Like other authors, we use physical models based on signal delays and the Doppler effect, however, in implementing the models we additionally introduce two scales of time associated with moving and resting reflectors, derive a set of rules to switch between the scales, and establish the equivalence of trajectory distortions as obtained from either time delay or distance progression. The obtained results enabled us to produce accurate correction formulas for different types of instruments, and to explain the differences in the results obtained by other authors. We found that the correction derived from the Doppler effect is accountable only for 2 3 of the total correction due to finite speed of light, if no signal delays are considered. Another major source of inconsistency was found in the tacit use of simplified trajectory models.

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“…The reasoning we used to get the additional term of the acceleration in (23) was based on abstract considerations regarding signal delays. We did not rely on any specifics of a particular signal type, like passive or active, pulse or continuous, etc.…”

Section: Doppler Distortion Of the Registered Trajectorymentioning

confidence: 99%

Correction due to the finite speed of light in absolute gravimeters

Nagornyi¹,

Zanimonskiy

²

,

Zanimonskiy

³

2011

View full text Add to dashboard Cite

Abstract. Correction due to finite speed of light is among the most inconsistent ones in absolute gravimetry. Formulas reported by different authors yield corrections scattered up to 8 µGal with no obvious reasons. The problem, though noted before, has never been studied, and nowadays the correction is rather postulated than rigorously proven. In this paper we make an attempt to revise the subject. Like other authors, we use physical models based on signal delays and the Doppler effect, however, in implementing the models we additionally introduce two scales of time associated with moving and resting reflectors, derive a set of rules to switch between the scales, and establish the equivalence of trajectory distortions as obtained from either time delay or distance progression. The obtained results enabled us to produce accurate correction formulas for different types of instruments, and to explain the differences in the results obtained by other authors. We found that the correction derived from the Doppler effect is accountable only for 2 3 of the total correction due to finite speed of light, if no signal delays are considered. Another major source of inconsistency was found in the tacit use of simplified trajectory models.

show abstract

High-Precision Laser Gravimeter

Cited by 6 publications

References 2 publications

Experimental assessment of the speed of light perturbation in free-fall absolute gravimeters

Experimental assessment of the speed of light perturbation in free-fall absolute gravimeters

Correction due to the finite speed of light in absolute gravimeters

Correction due to the finite speed of light in absolute gravimeters

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