27.12.2012 Views

Oscillations, Waves, and Interactions - GWDG

Oscillations, Waves, and Interactions - GWDG

Oscillations, Waves, and Interactions - GWDG

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

ot. rate [nrad/s]<br />

600<br />

400<br />

200<br />

0<br />

-200<br />

-400<br />

Large ring laser gyroscopes 301<br />

-600<br />

1350 1355 1360 1365<br />

Time [s]<br />

Figure 21. Comparison of two ring laser seismogramms from the the same mag. 7.7 earthquake<br />

near Fiji on August 19, 2002. Both ring lasers were located in the same place with<br />

identical orientation. Apart from the higher noise level of the smaller instrument the recordings<br />

are identical.<br />

is linear over a wide dynamic range. A mag. 7.7 earthquake near the Fiji Isl<strong>and</strong>s on<br />

August 19, 2002 was recorded simultaneously on both ring lasers. Figure 21 shows<br />

the record of the first 15 seconds of this earthquake. The measured raw Sagnac<br />

frequency as a function of time was converted to rotation rate in nano-radians per<br />

second using Eq. (2). Apart from this conversion the data has not been modified in<br />

any way. The dataset from the C-II ring laser is a little noisier than the data from<br />

UG1 because there is almost a factor of 20 difference in the respective scale factors.<br />

Nevertheless one can see that both ring lasers measure exactly the same signal in<br />

phase as well as in amplitude.<br />

Ring lasers provide optical interferograms where the external rate of rotation is<br />

proportional to the rate of change of the fringe pattern. This signal becomes available<br />

as an audio-frequency at the output of a photomultiplier tube, which is a major<br />

difference to the amplitude variations typically recorded by seismometers.<br />

In seismology it is important to detect the rate of change of the Sagnac frequency<br />

at 50 ms intervals (20 Hz) very accurately. Since frequency counting techniques do<br />

not provide a sufficient resolution at such short integration times, a frequency demodulation<br />

concept has been developed. A voltage controlled oscillator is phase locked<br />

to the Sagnac frequency of the ring laser, exploiting the fact that Earth rotation provides<br />

a constant rate bias in the absence of any seismically induced rotation signals.<br />

In the event of an earthquake one obtains the rate of change of the Sagnac frequency<br />

at the feedback line of the voltage controlled oscillator. This voltage can be digitized<br />

<strong>and</strong> averaged at the required 20 Hz rate or higher.<br />

Currently the upper limit for the detectable rate of change from a large ring laser<br />

is not set by the sensor itself but by the frequency extraction process. To outline the<br />

importance of the frequency demodulation technique two earthquakes with distinctly<br />

different properties are compared. Figure 22 shows an example for a teleseismic<br />

event <strong>and</strong> an example from a much closer regional earthquake. While for the remote<br />

earthquake the spectral power density essentially drops off to zero above frequencies

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!