Subaperture stitching tolerancing for annular ring geometry

Greg A. Smith; James H. Burge

doi:10.1364/AO.54.008080

Subaperture stitching tolerancing for annular ring geometry

Greg A. Smith, James H. Burge

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Subaperture stitching is an economical way to extend small-region, high-resolution interferometric metrology to cover large-aperture optics. Starting from system geometry and measurement noise knowledge, this work derives an analytical expression for how noise in an annular ring of subapertures leads to large-scale errors in the computed stitched surface. These errors scale as sin (πp/M)^-2 where p is the number of sine periods around the annular full-aperture and M is the number of subaperture measurements. Understanding how low-spatial-frequency surface errors arise from subaperture noise is necessary for tolerancing systems which use subaperture stitching.

Original language	English (US)
Pages (from-to)	8080-8086
Number of pages	7
Journal	Applied optics
Volume	54
Issue number	27
DOIs	https://doi.org/10.1364/AO.54.008080
State	Published - Sep 20 2015

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Engineering (miscellaneous)
Electrical and Electronic Engineering

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10.1364/AO.54.008080

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title = "Subaperture stitching tolerancing for annular ring geometry",

abstract = "Subaperture stitching is an economical way to extend small-region, high-resolution interferometric metrology to cover large-aperture optics. Starting from system geometry and measurement noise knowledge, this work derives an analytical expression for how noise in an annular ring of subapertures leads to large-scale errors in the computed stitched surface. These errors scale as sin (πp/M)-2 where p is the number of sine periods around the annular full-aperture and M is the number of subaperture measurements. Understanding how low-spatial-frequency surface errors arise from subaperture noise is necessary for tolerancing systems which use subaperture stitching.",

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AB - Subaperture stitching is an economical way to extend small-region, high-resolution interferometric metrology to cover large-aperture optics. Starting from system geometry and measurement noise knowledge, this work derives an analytical expression for how noise in an annular ring of subapertures leads to large-scale errors in the computed stitched surface. These errors scale as sin (πp/M)-2 where p is the number of sine periods around the annular full-aperture and M is the number of subaperture measurements. Understanding how low-spatial-frequency surface errors arise from subaperture noise is necessary for tolerancing systems which use subaperture stitching.

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Subaperture stitching tolerancing for annular ring geometry

Abstract

ASJC Scopus subject areas

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