A Distortion Free Support for a Thin XRay Mirror

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A Distortion Free Supportfor a Thin X-Ray Mirror
A NASA/Olin Research Project

• Presented by
• Bennett Chabot and Andy Kalcic

• Team members
• Mark Cavalowsky, Brad Westgate, Peter Massari,
  Chester Macklin
• Supervising NASA Astrophysicist Dr. William Zhang
• Advisors Dr. Steve Holt and Dr. Brad Minch

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The Problem

• Create a cradle of springs to minimize the
  distorting effect of gravity on the mirror
• Maximum distortion 10 nm or 1e-8 m
• Correlates to 5 arc-second resolution

• Springs must compress springs by an average which
  is orders of magnitude greater than combined
  irregularity

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The Solution
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Our Approach

• Test configurations with increasing complexity

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Virtual ModelFEMLAB

• Complete
• 1D Beam with Solid Supports
• 1D Beam with Spring Supports
• Ability to Automate
• In Progress
• 1D Curved Beam
• Full 3D Curved Mirror
• Adjust individual spring constants/positions

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Z Displacement in Virtual Model Two Solid
Supports Case
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Z Displacement in Virtual Model Eleven Solid
Supports Case
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Analytical Model

• Complete
• 1D straight beam, solid supports
• 1D straight beam, spring supports
• 2D flat plate
• In Progress
• 2D flat plate, point support boundary conditions
• 1D Curved beam

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2D Plate with Edge Constraints and Point Forces
(Analytical Model)
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Comparison of Models
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Comparison of Model Data 1D Beam with 11 Solid
Supports
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Absolute Error Comparison 1D Beam with 11 Solid
Supports
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Comparison of Models 3 Spring Supports
Maximum Absolute Error 3.57e-9m
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Their placement has errors sp 0.5mm
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