[Clas12_rich] RICH Mirror 4C Mathematica analysis

[Tyler Lemon]

Hello all,

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.

Attached are the following images of mirror 4C:

 1. Edge measurement points plotted in NX 9.0.
 2. Mirror surface and back surface measurement points plotted in NX 9.0.
 3. Edge measurement points plotted in Mathematica.

For the mirror and back surface NX 9.0 plot, the back surface is in red 
and the mirror surface is in blue.

For the Mathematica plot, the mirror edges are plotted in red and the 
back edges are plotted in blue.

I have also calculated the mean thickness and standard deviation of each 
side of the mirror. The table of results is below.

*Side**
* 	*Mean Thickness [mm]**
* 	*Standard Deviation [mm]**
*
Right
	25.338
	0.273
Left
	25.193
	0.529
Top
	25.784
	0.621
Bottom
	25.471
	0.571

In addition, I have also calculated the difference in mean thickness for 
each side and the error of the difference.

*Sides**
* 	*Difference in Mean Thickness [mm]**
* 	*Error [mm]**
*
Left - Right
	0.145
	0.596
Left - Top
	0.591
	0.817
Left - Bottom
	0.278
	0.779
Right - Top
	0.446
	0.679
Right - Bottom
	0.133
	0.632
Top - Bottom
	0.314
	0.844

 From these results, I think the mirror thickness is uniform. The 
thicknesses are ~1 [mm] of the thickness specified by the mirror 
manufacturer.

Note the survey equipment, per Jim Dahlberg, has a resolution of 60 [um].

After the thickness analysis of the other three mirrors is complete, I 
will determine the radius of curvature from the CMM measurement points.

Best regards,

Tyler

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