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Oscillations, Waves, and Interactions - GWDG

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∆f [mHz]<br />

5<br />

0<br />

-5<br />

-10<br />

-15<br />

-20<br />

Large ring laser gyroscopes 295<br />

0 4 8 12 16<br />

Time [days in 2006]<br />

Figure 16. Time dependence of the variation of the ring laser scale factor over the period<br />

of the measurements.<br />

systematic trend suggests that this unwanted signal may be introduced by the decay<br />

of the laser gain medium due to changes in dispersion as addressed in Section 6.1.<br />

6.5 Scale factor corrections from varying laser gain<br />

Apart from a major disruption around day 13 there is only a systematic downward<br />

drift roughly of the form −e t left in the data set. The existence of such a distinct<br />

systematic feature suggests the presence of an independent bias mechanism in a ring<br />

laser cavity. The residual downward trend is most likely due to a contamination of<br />

the laser gas with hydrogen, oxygen, nitrogen <strong>and</strong> water vapour via outgassing from<br />

the cavity enclosure <strong>and</strong> gives rise to an additional time dependent loss factor in the<br />

gain medium. This effect has been observed in a different context for linear He-Ne<br />

lasers, see Refs. [13, 14]. UG2 with a stainless steel tube enclosing the laser gas along<br />

the entire perimeter of 121.435 m experiences a substantial amount of outgassing. On<br />

two occasions measurements of the total gas pressure inside the cavity were made,<br />

each over a period of 56 days. An overall increase of 0.022 mbar <strong>and</strong> 0.020 mbar of<br />

hydrogen, amounting to 4 · 10 −4 mbar H2 per day was observed, taking the UG2 ring<br />

laser well into the regime where additional losses from absorption effects by hydrogen<br />

become visible. Because of the need of adjusting large ring lasers to single longitudinal<br />

mode operation near laser threshold, a feedback circuit is used to stabilize the gain<br />

medium to constant circulating beam power. Growing losses in the laser cavity<br />

therefore will raise the loop gain accordingly. Following the approach of Ref. [10] the<br />

quantity KA describes the contribution of the active medium to the scale factor of a<br />

large ring laser gyro as<br />

∆KA<br />

=<br />

KA<br />

� �<br />

∆K<br />

−<br />

K N<br />

aG<br />

+ NL(Ω) . (12)<br />

1 + xPo<br />

In this equation ∆KA/KA corresponds to the scale factor correction due to the<br />

active laser medium, (∆K/K)N is the constant part of the scale factor correction,<br />

the second term on the right-h<strong>and</strong> side allows for laser gain related contributions

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