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Oscillations, Waves, and Interactions - GWDG

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292 Schreiber<br />

Beamwalk [µm]<br />

80.0<br />

70.0<br />

60.0<br />

50.0<br />

40.0<br />

30.0<br />

20.0<br />

10.0<br />

horizontal<br />

vertical<br />

0.0<br />

0.0 0.5 1.0 1.5 2.0 2.5<br />

Time [days]<br />

Figure 10. Example of the measured beam w<strong>and</strong>er as obtained at corner 1. Within a<br />

factor of two vertical <strong>and</strong> horizontal excursions are roughly of the same magnitude.<br />

Earth rotation to produce a constant Sagnac frequency, with a variation of 1 mHz or<br />

less. However the measurements show an overall downward trend <strong>and</strong> superimposed<br />

systematic excursions of considerable amplitude, where some occur rather sharply,<br />

while others are following a much smoother course. Some of these departures from<br />

the value of Earth rotation are due to variations of the scale factor as a function of<br />

time while others are caused by internal processes in the laser cavity.<br />

From the instantaneous beam postions recorded by the cameras the geometrical<br />

variation in area <strong>and</strong> perimeter can be computed via an ABCD-Matrix approach.<br />

Figure 12 shows the result. One can see that the area is changing at the parts<br />

per million level, certainly a considerable effect. The simultaneously displayed time<br />

∆f [mHz]<br />

5<br />

0<br />

-5<br />

-10<br />

-15<br />

-20<br />

-25<br />

0 4 8 12 16<br />

Time [days in 2006]<br />

Figure 11. Time series of the drift of the raw measurements of Earth rotation obtained<br />

from the UG2 gyroscope.

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