Optical transfer function optimization based on linear expansions

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

10 Scopus citations


The Optical Transfer Function (OTF) and its modulus the Modulation Transfer Function (MTF) are metrics of optical system performance. However in system optimization, calculation times for the OTF are often substantially longer than more traditional optimization targets such as wavefront error or transverse ray error. The OTF is typically calculated as either the autocorrelation of the complex pupil function or as the Fourier transform of the Point Spread Function. We recently demonstrated that the on-Axis OTF can be represented as a linear combination of analytical functions where the weighting terms are directly related to the wavefront error coefficients and apodization of the complex pupil function. Here, we extend this technique to the off-Axis case. The expansion technique offers a potential for accelerating OTF optimization in lens design, as well as insight into the interaction of aberrations with components of the OTF.

Original languageEnglish (US)
Title of host publicationNovel Optical Systems Design and Optimization XVIII
EditorsG. Groot Gregory, Cornelius F. Hahlweg, Cornelius F. Hahlweg, Arthur J. Davis, G. Groot Gregory, Arthur J. Davis
ISBN (Electronic)9781628417456, 9781628417456
StatePublished - 2015
Event18th Conference of Novel Optical Systems Design and Optimization - San Diego, United States
Duration: Aug 10 2015Aug 12 2015

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X


Other18th Conference of Novel Optical Systems Design and Optimization
Country/TerritoryUnited States
CitySan Diego


  • Modulation Transfer Function
  • Optical Transfer Function
  • Optimization

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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