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Table of Contents

-
-

1 Estimation of the Spectral Density of the Attocube Noise

+
+

1 Estimation of the Spectral Density of the Attocube Noise

-
-

1.1 Long and Slow measurement

+
+

1.1 Long and Slow measurement

The first measurement was made during ~17 hours with a sampling time of \(T_s = 0.1\,s\). @@ -64,14 +64,14 @@ Ts = 0.1; % [s]

-
+

long_meas_time_domain_full.png

Figure 1: Long measurement time domain data

-Let’s fit the data with a step response to a first order low pass filter (Figure 2). +Let’s fit the data with a step response to a first order low pass filter (Figure 2).

@@ -99,10 +99,10 @@ The corresponding time constant is (in [h]):

-We can see in Figure 1 that there is a transient period where the measured displacement experiences some drifts. +We can see in Figure 1 that there is a transient period where the measured displacement experiences some drifts. This is probably due to thermal effects. We only select the data between t1 and t2. -The obtained displacement is shown in Figure 2. +The obtained displacement is shown in Figure 2.

@@ -116,7 +116,7 @@ t = t - t(1);
-
+

long_meas_time_domain_zoom.png

Figure 2: Kept data (removed slow drifts during the first hours)

@@ -133,8 +133,8 @@ The Power Spectral Density of the measured displacement is computed
-
-

1.2 Short and Fast measurement

+
+

1.2 Short and Fast measurement

An second measurement is done in order to estimate the high frequency noise of the interferometer. @@ -148,11 +148,11 @@ Ts = 1e-4; % [s]

-The time domain measurement is shown in Figure 3. +The time domain measurement is shown in Figure 3.

-
+

short_meas_time_domain.png

Figure 3: Time domain measurement with the high sampling rate

@@ -169,15 +169,15 @@ The Power Spectral Density of the measured displacement is computed
-