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Spie Press Book

Subaperture Stitching Interferometry: Jigsaw Puzzles in 3D Space
Author(s): Shanyong Chen; Shengyi Li; Yifan Dai
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Book Description

Wavefront interferometry is a standard solution when measuring optical surface error or wavefront aberrations. However, the lateral range of measurement is usually limited by the aperture of the interferometer. Subaperture stitching interferometry solves this problem by dividing the full aperture into a series of smaller, overlapping subapertures that are measured individually before being stitched back together. This Spotlight introduces the mathematical background, stitching algorithms, and subaperture lattice design for stitching interferometry with null subapertures, non-null subapertures, and near-null subapertures as applied to large flats, high-numerical-aperture spheres, and aspheres.

Book Details

Date Published: 24 May 2016
Pages: 58
ISBN: 9781510602243
Volume: SL15

Table of Contents
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1 Background: Wavefront Interferometry Limitations

2 History: Review of Related Work

3 Classification: Applications of Subaperture Stitching Interferometry

4 Subaperture Aberrations: Methods for Subaperture Layout Design
4.1 Null subaperture layout design
4.2 Aberrations of off-axis aspheric subapertures
4.3 Non-null subaperture layout design
4.4 Near-null optics
4.5 Near-null subaperture layout design

5 Stitching: Jigsaw Puzzles in Three-Dimensional Space
5.1 Mathematical background
     5.1.1 Surface error change related to the misalignment
     5.1.2 Simultaneous stitching
5.2 Configuration space-based stitching model
     5.2.1 Object�image mapping with ray tracing
     5.2.2 Coordinate mapping with rigid body transformation
5.3 Iterative algorithm for subaperture stitching
     5.3.1 Overlapping calculation subproblem
     5.3.2 Configuration optimization subproblem
5.4 Special techniques dealing with a large number of subapertures
     5.4.1 Sparse technique
     5.4.2 Block-wise QR decomposition
     5.4.3 Coarse�fine stitching strategy

6 Uncertainty: How Error Sources Affect the Stitching
6.1 Noise propagation during stitching
6.2 Decoupling induced aberrations from surface error

7 Case Studies
7.1 Large flats
7.2 Hyper-hemispheres
7.3 Large convex spheres
7.4 Large convex aspheres

8 Conclusions

Acknowledgments

References

Preface

Wavefront interferometry is a standard solution when measuring optical surface error or wavefront aberrations. However, the lateral range of measurement is usually limited by the aperture of the interferometer. Subaperture stitching interferometry solves this problem by dividing the full aperture into a series of smaller, overlapping subapertures that are measured individually before being stitched back together. This Spotlight introduces the mathematical background, stitching algorithms, and subaperture lattice design for stitching interferometry with null subapertures, non-null subapertures, and near-null subapertures as applied to large flats, high-numerical-aperture spheres, and aspheres.

Shanyong Chen
Shengyi Li
Yifan Dai
May 2016


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