Subaperture stitching tolerancing for annular ring geometry

Greg A. Smith, James H. Burge

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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 languageEnglish (US)
Pages (from-to)8080-8086
Number of pages7
JournalApplied optics
Issue number27
StatePublished - Sep 20 2015

ASJC Scopus subject areas

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


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