Mirror Results Presentation AKA Let’s PartY, PartX.
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19-Dec-2015 -
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Transcript of Mirror Results Presentation AKA Let’s PartY, PartX.
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Mirror Results Mirror Results PresentationPresentation
AKA Let’s PartY, PartXAKA Let’s PartY, PartX
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Review of GoalsReview of Goals• Figure out spring arrangement to limit
mirror deflection to 10 nm = 1e-8 m– Target Axial Distortion ± 1e-8 m
• X direction (Axial Direction) is 100 times as important as Y direction.
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Best Uniform SolutionBest Uniform Solution• Optimal Spring Geometry:
– 20 rows of springs, evenly spaced
– 10 springs per row, evenly spaced
– Spring constant 1 N/m
• Max distortion – 72.75e-6 m• Axial distortion – ±43.8e-8 m• RMS of the dx – 0.285676
arcseconds• Uses standard coil springs on
the foam base
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Fully Optimized SolutionFully Optimized Solution• Optimal Spring Geometry:
– 22 rows of springs placed at angles 21 springs per row, evenly spaced
– Spring constant 0.2 N/m
• Max distortion– 2.4227e-6 m• Axial distortion– ± 2.09e-8 m
• RMS of the dx – 0.812209 arcseconds
• Uses standard coil springs on the foam base
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The Angles (in Degrees)The Angles (in Degrees)Thanks, MATLAB! Thanks, MATLAB!
[0.03, 0.8889, 4.2365, 7.2313, 11.9344, 11.9955, 15.9555, 16.1586, 16.4575, 16.4934, 22.2276, 23.4992]
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Axial DeformationAxial Deformation
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Same Angles, Springs w/ AreaSame Angles, Springs w/ Area
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How we optimizedHow we optimized• Used the MATLAB/COMSOL interface to
generate a script• Performed a parameter search to find the
optimal evenly spaced spring solution• Used these values to generate a
simulation that optimized row location• Iteratively checked for improvements in dx
RMS
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How we optimized (cont’d)How we optimized (cont’d)
dΘ
1) MeasureSlope
2) Move Spring Position
3) Overshot, Move Back
4) Take a smaller step
5) Arrive at correct value
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Steps Towards a Viable Steps Towards a Viable SolutionSolution
• Optimized spring angle values = exact• Real spring placement ≠ exact
– Placement error ~ 5e-4 m
• Rounding:– 4 nearly coincident rows – double K?
Offset springs along axis?
• Rounded RMS is 2.92e-9 m off optimal
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This one’s for you, Mike