Add test bench schematic
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figs/test-bench-shematic.png
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<li><a href="#orgfaed8bc">1. Estimation of the Spectral Density of the Attocube Noise</a>
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<li><a href="#org8d030f4">1. Estimation of the Spectral Density of the Attocube Noise</a>
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<li><a href="#org42d8bf8">1.1. Long and Slow measurement</a></li>
|
||||
<li><a href="#orgc5a3450">1.2. Short and Fast measurement</a></li>
|
||||
<li><a href="#orgc18a5a3">1.3. Obtained Amplitude Spectral Density of the measured displacement</a></li>
|
||||
<li><a href="#org50a760f">1.1. Long and Slow measurement</a></li>
|
||||
<li><a href="#org70295ba">1.2. Short and Fast measurement</a></li>
|
||||
<li><a href="#org17d3959">1.3. Obtained Amplitude Spectral Density of the measured displacement</a></li>
|
||||
</ul>
|
||||
</li>
|
||||
</ul>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgfaed8bc" class="outline-2">
|
||||
<h2 id="orgfaed8bc"><span class="section-number-2">1</span> Estimation of the Spectral Density of the Attocube Noise</h2>
|
||||
<div id="outline-container-org8d030f4" class="outline-2">
|
||||
<h2 id="org8d030f4"><span class="section-number-2">1</span> Estimation of the Spectral Density of the Attocube Noise</h2>
|
||||
<div class="outline-text-2" id="text-1">
|
||||
|
||||
<div id="orge0e29bf" class="figure">
|
||||
<p><img src="figs/test-bench-shematic.png" alt="test-bench-shematic.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 1: </span>Test Bench Schematic</p>
|
||||
</div>
|
||||
<div id="outline-container-org42d8bf8" class="outline-3">
|
||||
<h3 id="org42d8bf8"><span class="section-number-3">1.1</span> Long and Slow measurement</h3>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org50a760f" class="outline-3">
|
||||
<h3 id="org50a760f"><span class="section-number-3">1.1</span> Long and Slow measurement</h3>
|
||||
<div class="outline-text-3" id="text-1-1">
|
||||
<p>
|
||||
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; <span class="org-comment">% [s]</span>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgd7563fe" class="figure">
|
||||
<div id="org4beccfe" class="figure">
|
||||
<p><img src="figs/long_meas_time_domain_full.png" alt="long_meas_time_domain_full.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 1: </span>Long measurement time domain data</p>
|
||||
<p><span class="figure-number">Figure 2: </span>Long measurement time domain data</p>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
Let’s fit the data with a step response to a first order low pass filter (Figure <a href="#org5d8ea16">2</a>).
|
||||
Let’s fit the data with a step response to a first order low pass filter (Figure <a href="#org02547b0">3</a>).
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
@ -95,17 +102,17 @@ The corresponding time constant is (in [h]):
|
||||
|
||||
|
||||
|
||||
<div id="org5d8ea16" class="figure">
|
||||
<div id="org02547b0" class="figure">
|
||||
<p><img src="figs/long_meas_time_domain_fit.png" alt="long_meas_time_domain_fit.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 2: </span>Fit of the measurement data with a step response of a first order low pass filter</p>
|
||||
<p><span class="figure-number">Figure 3: </span>Fit of the measurement data with a step response of a first order low pass filter</p>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
We can see in Figure <a href="#orgd7563fe">1</a> that there is a transient period where the measured displacement experiences some drifts.
|
||||
We can see in Figure <a href="#org4beccfe">2</a> 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 <code>t1</code> and <code>t2</code>.
|
||||
The obtained displacement is shown in Figure <a href="#org9806b5d">3</a>.
|
||||
The obtained displacement is shown in Figure <a href="#orgad8d3f9">4</a>.
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
@ -119,10 +126,10 @@ t = t <span class="org-type">-</span> t(1);
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org9806b5d" class="figure">
|
||||
<div id="orgad8d3f9" class="figure">
|
||||
<p><img src="figs/long_meas_time_domain_zoom.png" alt="long_meas_time_domain_zoom.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 3: </span>Kept data (removed slow drifts during the first hours)</p>
|
||||
<p><span class="figure-number">Figure 4: </span>Kept data (removed slow drifts during the first hours)</p>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
@ -136,8 +143,8 @@ The Power Spectral Density of the measured displacement is computed
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgc5a3450" class="outline-3">
|
||||
<h3 id="orgc5a3450"><span class="section-number-3">1.2</span> Short and Fast measurement</h3>
|
||||
<div id="outline-container-org70295ba" class="outline-3">
|
||||
<h3 id="org70295ba"><span class="section-number-3">1.2</span> Short and Fast measurement</h3>
|
||||
<div class="outline-text-3" id="text-1-2">
|
||||
<p>
|
||||
An second measurement is done in order to estimate the high frequency noise of the interferometer.
|
||||
@ -151,14 +158,14 @@ Ts = 1e<span class="org-type">-</span>4; <span class="org-comment">% [s]</span>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
The time domain measurement is shown in Figure <a href="#org658d16a">4</a>.
|
||||
The time domain measurement is shown in Figure <a href="#org8d7915d">5</a>.
|
||||
</p>
|
||||
|
||||
|
||||
<div id="org658d16a" class="figure">
|
||||
<div id="org8d7915d" class="figure">
|
||||
<p><img src="figs/short_meas_time_domain.png" alt="short_meas_time_domain.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 4: </span>Time domain measurement with the high sampling rate</p>
|
||||
<p><span class="figure-number">Figure 5: </span>Time domain measurement with the high sampling rate</p>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
@ -172,18 +179,18 @@ The Power Spectral Density of the measured displacement is computed
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgc18a5a3" class="outline-3">
|
||||
<h3 id="orgc18a5a3"><span class="section-number-3">1.3</span> Obtained Amplitude Spectral Density of the measured displacement</h3>
|
||||
<div id="outline-container-org17d3959" class="outline-3">
|
||||
<h3 id="org17d3959"><span class="section-number-3">1.3</span> Obtained Amplitude Spectral Density of the measured displacement</h3>
|
||||
<div class="outline-text-3" id="text-1-3">
|
||||
<p>
|
||||
The computed ASD of the two measurements are combined in Figure <a href="#orgfdb6fa9">5</a>.
|
||||
The computed ASD of the two measurements are combined in Figure <a href="#org68a3367">6</a>.
|
||||
</p>
|
||||
|
||||
|
||||
<div id="orgfdb6fa9" class="figure">
|
||||
<div id="org68a3367" class="figure">
|
||||
<p><img src="figs/psd_combined.png" alt="psd_combined.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 5: </span>Obtained Amplitude Spectral Density of the measured displacement</p>
|
||||
<p><span class="figure-number">Figure 6: </span>Obtained Amplitude Spectral Density of the measured displacement</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
@ -191,7 +198,7 @@ The computed ASD of the two measurements are combined in Figure <a href="#orgfdb
|
||||
</div>
|
||||
<div id="postamble" class="status">
|
||||
<p class="author">Author: Dehaeze Thomas</p>
|
||||
<p class="date">Created: 2020-10-29 jeu. 11:07</p>
|
||||
<p class="date">Created: 2020-10-29 jeu. 11:20</p>
|
||||
</div>
|
||||
</body>
|
||||
</html>
|
||||
|
||||
@ -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)
|
||||
<<matlab-dir>>
|
||||
|
||||
Loading…
Reference in New Issue
Block a user