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ryousuke.sugimoto - 2:53 Wednesday 13 November 2024 (31609) Print this report
Linear coupling investigation between geophone and OMC length error (and also DARM)

[Yokozawa, KTanaka, Komori, Sugimoto]

We projected the geophone noise onto the OMC length error signal using the transfer function and noise obtained in the previous measurement (31574). The results are shown in Fig. 1 and Fig. 2. At this time, we used the transfer function obtained with the speaker injection. Note that the coherence is low around 30-70 Hz in the transfer function measurement. It is highly likely that the peaks around 80-200 Hz are due to geophone noise.
We also projected these results onto DARM sensitivity using the transfer function from OMC length error to DARM sensitivity measured in klog31315. The results are shown in Fig. 3 and Fig.4. However, due to the low coherence of the transfer function measurement, it is not clear how reliable this result is.

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ryousuke.sugimoto - 0:48 Friday 15 November 2024 (31642) Print this report

In Ushiba-san’s transfer function measurement from OMC length error to DARM, the dither value used to obtain the OMC error signal was 300 counts. On the other hand, the dither count when we acquired the OMC error signal was 400. When the dither value is increased, the sensing factor of the OMC increases, which means that the error signal of the OMC also increases. Thus, the transfer function (DARM/OMC error) is corrected by a factor of 3/4. The results of the projection onto DARM with this correction are shown below.

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ryousuke.sugimoto - 18:29 Monday 18 November 2024 (31678) Print this report

I found and corrected a mistake in the projection of geophone noise onto the DARM sensitivity.

In the previous analysis, the transfer function from the OMC error signal to the DARM sensitivity was linearly interpolated to match the number of the geophone noise data. At that time, I ensured the frequency range and number of data points matched. However, I had overlooked the frequency vector of the transfer function from DARM to the OMC error, which was logarithmic. The geophone noise and the transfer function from the geophone to the OMC error signal are obtained at linearly spaced frequencies. In other words, I had been combining data with a linear interval and data with a logarithmic scale, which only matched the number of data points and frequency range.
The projection onto DARM after the correction is shown in the attached figure.

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