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On the diffraction correction in absolute gravimetry

Lennart Robertsson

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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.


PACS

42.62.Eh Metrological applications; optical frequency synthesizers for precision spectroscopy

06.30.Dr Mass and density

42.60.Jf Beam characteristics: profile, intensity, and power; spatial pattern formation

07.60.Ly Interferometers

Subjects

Instrumentation and measurement

Optics, quantum optics and lasers

Dates

Issue 1 (February 2007)

Received 11 April 2006

Published 2 January 2007



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