Characterization of alignment using measurements of the sine condition

Matthew Dubin, Sara Lampen, James H. Burge

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


An experimental test for violations of the sine condition is presented. This test is particularly useful for identifying the state of alignment of an imaging system because it provides a direct measurement of the linear astigmatism (astigmatism that varies linearly with field) in a system using only on axis measurements. The concept of the test is explained from the perspective of both geometrical optics, using the sine condition, and wave optics. In addition, the results of an experimental proof of concept are presented. This experiment shows good agreement between the measured and predicted results.

Original languageEnglish (US)
Title of host publicationOptical System Alignment, Tolerancing, and Verification V
StatePublished - 2011
EventOptical System Alignment, Tolerancing, and Verification V - San Diego, CA, United States
Duration: Aug 21 2011Aug 22 2011

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X


OtherOptical System Alignment, Tolerancing, and Verification V
Country/TerritoryUnited States
CitySan Diego, CA


  • Alignment
  • Linear astigmatism
  • Sine condition

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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