modify tables
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"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
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<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
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<head>
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<!-- 2021-02-19 ven. 11:13 -->
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<!-- 2021-02-19 ven. 11:20 -->
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<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
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<title>NASS - Short Stroke Metrology</title>
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<meta name="generator" content="Org mode" />
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@ -39,10 +39,10 @@
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<h2>Table of Contents</h2>
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<div id="text-table-of-contents">
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<ul>
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<li><a href="#orgbab5500">1. Measurement Principle</a></li>
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<li><a href="#org8f0a94b">2. X-Y-Z measurement</a></li>
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<li><a href="#orgda8f2a5">3. Tilt measurement</a></li>
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<li><a href="#org6ff8891">4. Conclusion</a></li>
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<li><a href="#org59912f6">1. Measurement Principle</a></li>
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<li><a href="#orge0aedba">2. X-Y-Z measurement</a></li>
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<li><a href="#orgdd43e82">3. Tilt measurement</a></li>
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<li><a href="#orgbaaa145">4. Conclusion</a></li>
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</ul>
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</div>
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</div>
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@ -58,22 +58,22 @@ The goal of this document is to analyze the feasibility of a short stroke metrol
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It is structured as follow:
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</p>
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<ul class="org-ul">
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<li>Section <a href="#org81efe49">1</a>: the meaurement principle is described.</li>
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<li>Section <a href="#orga41b53c">2</a>: the requirements for the interferometers measuring translations are described</li>
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<li>Section <a href="#org8b209d1">3</a>: the same is done for the rotations</li>
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<li>Section <a href="#orgc196cb4">1</a>: the meaurement principle is described.</li>
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<li>Section <a href="#org54a9efd">2</a>: the requirements for the interferometers measuring translations are described</li>
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<li>Section <a href="#org55ec5cf">3</a>: the same is done for the rotations</li>
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</ul>
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<div id="outline-container-orgbab5500" class="outline-2">
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<h2 id="orgbab5500"><span class="section-number-2">1</span> Measurement Principle</h2>
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<div id="outline-container-org59912f6" class="outline-2">
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<h2 id="org59912f6"><span class="section-number-2">1</span> Measurement Principle</h2>
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<div class="outline-text-2" id="text-1">
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<p>
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<a id="org81efe49"></a>
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<a id="orgc196cb4"></a>
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</p>
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<p>
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Here are the defined wanted displacement of the reflector that should be inside the measurement stroke of the metrology system.
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The defined translations and rotations are defined with respect to the frame shown in Figure <a href="#org25ba32a">1</a>.
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The defined translations and rotations are defined with respect to the frame shown in Figure <a href="#orgbada069">1</a>.
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</p>
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<div class="org-src-container">
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<pre class="src src-matlab">d_x = 0; <span class="org-comment">% Wanted translation of the reflector in the x direction [m]</span>
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@ -85,14 +85,14 @@ R_y = 0; <span class="org-comment">% Wanted rotation of the reflector along
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</div>
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<div id="org25ba32a" class="figure">
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<div id="orgbada069" class="figure">
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<p><img src="figs/short_stroke_metrology_concept.png" alt="short_stroke_metrology_concept.png" />
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</p>
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<p><span class="figure-number">Figure 1: </span>Short Stroke Metrology - Concept. Blue interferometers are used to measure the X-Y-Z motion of the reflector. Red interferometers are used to measure tilt motion of the reflector.</p>
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</div>
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<p>
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Here are the approximate dimensions shown in Figure <a href="#org25ba32a">1</a>:
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Here are the approximate dimensions shown in Figure <a href="#orgbada069">1</a>:
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</p>
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<ul class="org-ul">
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<li>\(d_0 \approx 10\,[mm]\)</li>
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@ -109,15 +109,15 @@ R = 250e<span class="org-type">-</span>3; <span class="org-comment">% [m]</span>
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</div>
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</div>
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<div id="outline-container-org8f0a94b" class="outline-2">
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<h2 id="org8f0a94b"><span class="section-number-2">2</span> X-Y-Z measurement</h2>
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<div id="outline-container-orge0aedba" class="outline-2">
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<h2 id="orge0aedba"><span class="section-number-2">2</span> X-Y-Z measurement</h2>
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<div class="outline-text-2" id="text-2">
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<p>
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<a id="orga41b53c"></a>
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<a id="org54a9efd"></a>
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</p>
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<p>
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The geometry for the interferometers measuring translations is shown in Figure <a href="#org0718921">2</a>:
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The geometry for the interferometers measuring translations is shown in Figure <a href="#orgda75e82">2</a>:
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</p>
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<ul class="org-ul">
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<li>\(R = 250\,[mm]\)</li>
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@ -127,7 +127,7 @@ The geometry for the interferometers measuring translations is shown in Figure <
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</ul>
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<div id="org0718921" class="figure">
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<div id="orgda75e82" class="figure">
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<p><img src="figs/translation_interferometers.png" alt="translation_interferometers.png" />
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</p>
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<p><span class="figure-number">Figure 2: </span>Interferometers that are measuring translation</p>
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@ -147,7 +147,7 @@ And we obtain:
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\[ \theta \approx 8.0\,[mrad] \]
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</p>
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<table id="org27e7f4b" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<table id="orgbd49728" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<caption class="t-above"><span class="table-number">Table 1:</span> Specifications for the translation interferometers</caption>
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<colgroup>
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@ -157,8 +157,8 @@ And we obtain:
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</colgroup>
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<thead>
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<tr>
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<th scope="col" class="org-left">Specification</th>
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<th scope="col" class="org-left">Value</th>
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<th scope="col" class="org-left"><b>Specification</b></th>
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<th scope="col" class="org-left"><b>Value</b></th>
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</tr>
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</thead>
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<tbody>
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@ -176,16 +176,21 @@ And we obtain:
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<td class="org-left">Distance to target</td>
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<td class="org-left">\(10\,[mm]\)</td>
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</tr>
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<tr>
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<td class="org-left">Target</td>
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<td class="org-left">Convex with \(R = 250\,[mm]\)</td>
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</tr>
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</tbody>
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</table>
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</div>
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</div>
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<div id="outline-container-orgda8f2a5" class="outline-2">
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<h2 id="orgda8f2a5"><span class="section-number-2">3</span> Tilt measurement</h2>
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<div id="outline-container-orgdd43e82" class="outline-2">
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<h2 id="orgdd43e82"><span class="section-number-2">3</span> Tilt measurement</h2>
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<div class="outline-text-2" id="text-3">
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<p>
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<a id="org8b209d1"></a>
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<a id="org55ec5cf"></a>
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</p>
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<p>
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@ -204,7 +209,7 @@ And we obtain:
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</p>
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<p>
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The geometry for the interferometers measuring rotations is shown in Figure <a href="#org5e4c6eb">3</a>:
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The geometry for the interferometers measuring rotations is shown in Figure <a href="#org8855462">3</a>:
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</p>
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<ul class="org-ul">
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<li>\(d_0 > 10\,[mm]\)</li>
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@ -213,13 +218,13 @@ The geometry for the interferometers measuring rotations is shown in Figure <a h
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</ul>
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<div id="org5e4c6eb" class="figure">
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<div id="org8855462" class="figure">
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<p><img src="figs/rotation_interferometers.png" alt="rotation_interferometers.png" />
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</p>
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<p><span class="figure-number">Figure 3: </span>Interferometers that are measuring tilt</p>
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</div>
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<table id="org0d63b1d" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<table id="orgb2b4f70" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<caption class="t-above"><span class="table-number">Table 2:</span> Specifications for the rotation interferometers</caption>
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<colgroup>
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@ -229,8 +234,8 @@ The geometry for the interferometers measuring rotations is shown in Figure <a h
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</colgroup>
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<thead>
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<tr>
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<th scope="col" class="org-left">Specification</th>
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<th scope="col" class="org-left">Value</th>
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<th scope="col" class="org-left"><b>Specification</b></th>
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<th scope="col" class="org-left"><b>Value</b></th>
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</tr>
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</thead>
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<tbody>
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@ -248,18 +253,23 @@ The geometry for the interferometers measuring rotations is shown in Figure <a h
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<td class="org-left">Distance to target</td>
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<td class="org-left">\(10\,[mm]\)</td>
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</tr>
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<tr>
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<td class="org-left">Target</td>
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<td class="org-left">Flat mirror</td>
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</tr>
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</tbody>
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</table>
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</div>
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</div>
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<div id="outline-container-org6ff8891" class="outline-2">
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<h2 id="org6ff8891"><span class="section-number-2">4</span> Conclusion</h2>
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<div id="outline-container-orgbaaa145" class="outline-2">
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<h2 id="orgbaaa145"><span class="section-number-2">4</span> Conclusion</h2>
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</div>
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</div>
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<div id="postamble" class="status">
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<p class="author">Author: Dehaeze Thomas</p>
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<p class="date">Created: 2021-02-19 ven. 11:13</p>
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<p class="date">Created: 2021-02-19 ven. 11:20</p>
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</div>
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</body>
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</html>
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@ -122,13 +122,14 @@ sprintf('\\[ \\theta \\approx %.1f\\,[mrad] \\]', 1e3*(2*d_y/R))
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#+name: tab:spec_translation
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#+caption: Specifications for the translation interferometers
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#+attr_latex: :environment tabularx :width 0.4\linewidth :align lc
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#+attr_latex: :environment tabularx :width 0.6\linewidth :align Xc
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#+attr_latex: :center t :booktabs t :float t
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| Specification | Value |
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|--------------------+-----------------|
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| *Specification* | *Value* |
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|--------------------+-----------------------------|
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| Axial Acceptance | $\pm 1\,[mm]$ |
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| Angular Acceptance | $\pm 8\,[mrad]$ |
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| Distance to target | $10\,[mm]$ |
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| Target | Convex with $R = 250\,[mm]$ |
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* Tilt measurement
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<<sec:rotation_interferometers>>
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@ -158,12 +159,13 @@ The geometry for the interferometers measuring rotations is shown in Figure [[fi
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#+name: tab:spec_rotation
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#+caption: Specifications for the rotation interferometers
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#+attr_latex: :environment tabularx :width 0.4\linewidth :align lc
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#+attr_latex: :environment tabularx :width 0.4\linewidth :align Xc
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#+attr_latex: :center t :booktabs t :float t
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| Specification | Value |
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| *Specification* | *Value* |
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|--------------------+------------------|
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| Axial Acceptance | $\pm 2.5\,[mm]$ |
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| Angular Acceptance | $\pm 10\,[mrad]$ |
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| Distance to target | $10\,[mm]$ |
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| Target | Flat mirror |
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* Conclusion
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