<html><head><meta http-equiv="Content-Type" content="text/html charset=us-ascii"></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space;" class="">Great job!<div class=""><br class=""></div><div class="">thank you Tyler</div><div class=""><br class=""></div><div class="">patrizia<br class=""><div class=""><div apple-content-edited="true" class="">
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<br class=""><div><blockquote type="cite" class=""><div class="">On 23/giu/2016, at 15:39, Tyler Lemon <<a href="mailto:tlemon@jlab.org" class="">tlemon@jlab.org</a>> wrote:</div><br class="Apple-interchange-newline"><div class="">
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<div bgcolor="#FFFFFF" text="#000000" class=""><p class="">Hello all,</p><p class="">I have analyzed the thickness analysis of mirror 4C in
Mathematica using the data from the CMM measurements taken last
week. The analysis for the other three mirrors is in process.</p><p class="">Attached are the following images of mirror 4C:</p>
<ol class="">
<li class="">Edge measurement points plotted in NX 9.0.</li>
<li class="">Mirror surface and back surface measurement points plotted in
NX 9.0.</li>
<li class="">Edge measurement points plotted in Mathematica.</li>
</ol><p class="">For the mirror and back surface NX 9.0 plot, the back surface is
in red and the mirror surface is in blue.<br class="">
</p><p class="">For the Mathematica plot, the mirror edges are plotted in red and
the back edges are plotted in blue.</p><p class="">I have also calculated the mean thickness and standard deviation
of each side of the mirror. The table of results is below.</p>
<table height="149" border="1" cellpadding="2" cellspacing="2" width="471" class="">
<tbody class="">
<tr class="">
<td align="center" valign="top" class=""><b class="">Side</b><b class=""><br class="">
</b></td>
<td align="center" valign="top" class=""><b class="">Mean Thickness [mm]</b><b class=""><br class="">
</b></td>
<td align="center" valign="top" class=""><b class="">Standard Deviation [mm]</b><b class=""><br class="">
</b></td>
</tr>
<tr class="">
<td align="center" valign="top" class="">Right<br class="">
</td>
<td align="center" valign="top" class="">25.338<br class="">
</td>
<td align="center" valign="top" class="">0.273<br class="">
</td>
</tr>
<tr class="">
<td align="center" valign="top" class="">Left<br class="">
</td>
<td align="center" valign="top" class="">25.193<br class="">
</td>
<td align="center" valign="top" class="">0.529<br class="">
</td>
</tr>
<tr class="">
<td align="center" valign="top" class="">Top<br class="">
</td>
<td align="center" valign="top" class="">25.784<br class="">
</td>
<td align="center" valign="top" class="">0.621<br class="">
</td>
</tr>
<tr class="">
<td align="center" valign="top" class="">Bottom<br class="">
</td>
<td align="center" valign="top" class="">25.471<br class="">
</td>
<td align="center" valign="top" class="">0.571<br class="">
</td>
</tr>
</tbody>
</table><p class="">In addition, I have also calculated the difference in mean
thickness for each side and the error of the difference.</p>
<table height="207" border="1" cellpadding="2" cellspacing="2" width="496" class="">
<tbody class="">
<tr class="">
<td align="center" valign="top" class=""><b class="">Sides</b><b class=""><br class="">
</b></td>
<td align="center" valign="top" class=""><b class="">Difference in Mean
Thickness [mm]</b><b class=""><br class="">
</b></td>
<td align="center" valign="top" class=""><b class="">Error [mm]</b><b class=""><br class="">
</b></td>
</tr>
<tr class="">
<td align="center" valign="top" class="">Left - Right<br class="">
</td>
<td align="center" valign="top" class="">0.145<br class="">
</td>
<td align="center" valign="top" class="">0.596<br class="">
</td>
</tr>
<tr class="">
<td align="center" valign="top" class="">Left - Top<br class="">
</td>
<td align="center" valign="top" class="">0.591<br class="">
</td>
<td align="center" valign="top" class="">0.817<br class="">
</td>
</tr>
<tr class="">
<td align="center" valign="top" class="">Left - Bottom<br class="">
</td>
<td align="center" valign="top" class="">0.278<br class="">
</td>
<td align="center" valign="top" class="">0.779<br class="">
</td>
</tr>
<tr class="">
<td align="center" valign="top" class="">Right - Top<br class="">
</td>
<td align="center" valign="top" class="">0.446<br class="">
</td>
<td align="center" valign="top" class="">0.679<br class="">
</td>
</tr>
<tr class="">
<td align="center" valign="top" class="">Right - Bottom<br class="">
</td>
<td align="center" valign="top" class="">0.133<br class="">
</td>
<td align="center" valign="top" class="">0.632<br class="">
</td>
</tr>
<tr class="">
<td align="center" valign="top" class="">Top - Bottom<br class="">
</td>
<td align="center" valign="top" class="">0.314<br class="">
</td>
<td align="center" valign="top" class="">0.844<br class="">
</td>
</tr>
</tbody>
</table><p class="">From these results, I think the mirror thickness is uniform. The
thicknesses are ~1 [mm] of the thickness specified by the mirror
manufacturer.</p><p class="">Note the survey equipment, per Jim Dahlberg, has a resolution of
60 [um].<br class="">
</p><p class="">After the thickness analysis of the other three mirrors is
complete, I will determine the radius of curvature from the CMM
measurement points.</p><p class="">Best regards,</p><p class="">Tyler<br class="">
</p>
</div>
<span id="cid:C0EB85E5-C352-4710-B44D-C23129C7C66A@jlab.org"><4C surfaces- NX 9.jpg></span><span id="cid:B943D24E-2440-4828-AAA5-F3F4FB04D8AC@jlab.org"><4C edges-Mathmatica.JPG></span><span id="cid:3EF46252-248E-454E-99D9-89FC411C3F19@jlab.org"><4C edges- NX 9.jpg></span></div></blockquote></div><br class=""></div></div></body></html>