[Clas12_rich] RICH mirror 2C, 3C, 5C Mathematica analysis

Tyler Lemon tlemon at jlab.org
Fri Jun 24 13:28:30 EDT 2016 

Hello,

I have analyzed in Mathematica the remaining RICH mirrors 2C, 3C, and 
5C. When I was looking at mirror 3C, I noticed that the CMM measurement 
file had an error where the right side measurement points were a repeat 
of the left side points. The Excel file attached is the correct data 
file from Survey Group.

Attached are the following for each mirror:

 1. NX 9.0 plot for the edges.
 2. NX 9 plot for the mirror back surface and back surface- the mirror
    back surface is plotted in green, the back surface in red.
 3. Mathematica plot for the edges - the back edges are plotted in blue,
    the mirror edges in red.

Calculated mean thickness and standard deviation of each side and the 
difference in mean thickness for each side and the error of the 
difference are below for each mirror.

 From the results below, I think all mirrors are uniform in thickness. 
All mirrors (except 5C) are ~1 [mm] of the specified thicknesses.

I am in the process of debugging my code for mirror 5C to ensure that 
the results below are correct. Looking at the plot for 5C, the 
measurement points seem to be less uniformly spaced; points are in 
almost a zig-zag pattern rather than lined up in pairs as with other 
mirrors. This could be a possible source of the larger estimated mean 
thicknesses for 5C.

Again, note the CMM equipment, per Jim Dahlberg, has a resolution of 60 
[um].

As mentioned before, I will now determine the radius of curvature for 
each mirror using the CMM measurement points.

Best regards,

Tyler

_*2C*_

*Side*
	*Mean **Thickness **[mm]**
* 	*Standard Deviation [mm]*
Right
	24.949
	0.225
Left
	24.989
	0.211
Top
	25.341
	0.320
Bottom
	25.434
	0.489


*Sides**
* 	*Difference in Mean Thickness [mm]*
	*Error [mm]**
*
Left - Right
	0.039
	0.308
Left - Top
	0.352
	0.391
Left - Bottom
	0.445
	0.538
Right - Top
	0.391
	0.834
Right - Bottom
	0.484
	0.533
Top - Bottom
	0.093
	0.585


_*3C*_

*Side*
	*Mean **Thickness **[mm]**
* 	*Standard Deviation [mm]*
Right
	25.193
	0.368
Left
	24.935
	0.329
Top
	25.609
	0.326
Bottom
	25.827
	0.953


*Sides**
* 	*Difference in Mean Thickness [mm]*
	*Error [mm]**
*
Left - Right
	0.259
	0.494
Left - Top
	0.674
	0.492
Left - Bottom
	0.892
	1.022
Right - Top
	0.415
	0.463
Right - Bottom
	0.634
	1.001
Top - Bottom
	0.218
	1.001



_*5C*_
*Side*
	*Mean **Thickness **[mm]**
* 	*Standard Deviation [mm]*
Right
	27.453
	1.170
Left
	25.231
	0.242
Top
	26.596
	1.581
Bottom
	27.146
	1.243


*Sides**
* 	*Difference in Mean Thickness [mm]*
	*Error [mm]**
*
Left - Right
	2.222
	1.195
Left - Top
	0.857
	1.967
Left - Bottom
	0.307
	1.711
Right - Top
	1.365
	1.599
Right - Bottom
	1.914
	1.272
Top - Bottom
	0.549
	2.014



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ISO-10303-21;
HEADER;
FILE_DESCRIPTION ((), '1');
FILE_NAME ('M:\\align\\DATA\\Inspection\\HallB\\RICH_MIRRORS\\160616A\\RICH 3C\\3C Mirror Measured Data.Stp', '2016-06-24T08:36:05', ('Jefferson Lab'), ('Jefferson Lab'), 'SpatialAnalyzer PP2.00', 'SpatialAnalyzer', '');
FILE_SCHEMA (('CONFIG_CONTROL_DESIGN'));
ENDSEC;

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#4630 = PRODUCT_DEFINITION_SHAPE ('', '', #4380);
#4640 = SHAPE_DEFINITION_REPRESENTATION (#4630, #3750);
ENDSEC;
END-ISO-10303-21;
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