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"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> - + Attocube - Test Bench @@ -35,23 +35,30 @@

Table of Contents

-
-

1 Estimation of the Spectral Density of the Attocube Noise

+
+

1 Estimation of the Spectral Density of the Attocube Noise

+ +
+

test-bench-shematic.png +

+

Figure 1: Test Bench Schematic

-
-

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 +71,14 @@ Ts = 0.1; % [s]

-
+

long_meas_time_domain_full.png

-

Figure 1: Long measurement time domain data

+

Figure 2: 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 3).

@@ -95,17 +102,17 @@ The corresponding time constant is (in [h]): -
+

long_meas_time_domain_fit.png

-

Figure 2: Fit of the measurement data with a step response of a first order low pass filter

+

Figure 3: Fit of the measurement data with a step response of a first order low pass filter

-We can see in Figure 1 that there is a transient period where the measured displacement experiences some drifts. +We can see in Figure 2 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 3. +The obtained displacement is shown in Figure 4.

@@ -119,10 +126,10 @@ t = t - t(1);
-
+

long_meas_time_domain_zoom.png

-

Figure 3: Kept data (removed slow drifts during the first hours)

+

Figure 4: Kept data (removed slow drifts during the first hours)

@@ -136,8 +143,8 @@ 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. @@ -151,14 +158,14 @@ Ts = 1e-4; % [s]

-The time domain measurement is shown in Figure 4. +The time domain measurement is shown in Figure 5.

-
+

short_meas_time_domain.png

-

Figure 4: Time domain measurement with the high sampling rate

+

Figure 5: Time domain measurement with the high sampling rate

@@ -172,18 +179,18 @@ The Power Spectral Density of the measured displacement is computed

-
-

1.3 Obtained Amplitude Spectral Density of the measured displacement

+
+

1.3 Obtained Amplitude Spectral Density of the measured displacement

-The computed ASD of the two measurements are combined in Figure 5. +The computed ASD of the two measurements are combined in Figure 6.

-
+

psd_combined.png

-

Figure 5: Obtained Amplitude Spectral Density of the measured displacement

+

Figure 6: Obtained Amplitude Spectral Density of the measured displacement

@@ -191,7 +198,7 @@ The computed ASD of the two measurements are combined in Figure

Author: Dehaeze Thomas

-

Created: 2020-10-29 jeu. 11:07

+

Created: 2020-10-29 jeu. 11:20

diff --git a/index.org b/index.org index 81fe291..a0c4ccb 100644 --- a/index.org +++ b/index.org @@ -38,6 +38,12 @@ :END: * Estimation of the Spectral Density of the Attocube Noise +** Introduction :ignore: + +#+name: fig:test-bench-shematic +#+caption: Test Bench Schematic +[[file:figs/test-bench-shematic.png]] + ** Matlab Init :noexport:ignore: #+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name) <>