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On the diffraction correction in absolute gravimetry

Lennart Robertsson 2007 Metrologia 44 35-39   doi: 10.1088/0026-1394/44/1/005  Help

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Lennart Robertsson
Bureau International des Poids et Mesures, Pavillon de Breteuil, 92310 Sèvres, France

Abstract. The field distribution of a Gaussian light beam introduces additional space-dependent phase shifts compared with that of a flat wave front. An expression for these phase corrections is derived for the case of a two-beam interferometer. The contribution from these diffraction-induced shifts to the g-value determined in absolute gravimetry is calculated. It is found that in the case of a beam waist of a few millimetres or smaller and, particularly, for unbalanced interferometers, a careful consideration of this effect is crucial if high accuracy is desired.

Print publication: Issue 1 (February 2007)
Received 11 April 2006
Published 2 January 2007

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