Linear decomposition of the optical transfer function for annular pupils

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

Abstract

A technique for decomposing the Optical Transfer Function (OTF) into a novel set of basis functions has been developed. The decomposition provides insight into the performance of optical systems containing both wavefront error and apodization, as well as the interactions between the various components of the pupil function. Previously, this technique has been applied to systems with circular pupils with both uniform illumination and Gaussian apodization. Here, systems with annular pupils are explored. In cases of annular pupil with simple defocus, analytic expressions for the OTF decomposition coefficients can be calculated. The annular case is not only applicable to optical systems with central obscurations, but the technique can be extended to systems with multiple ring structures. The ring structures can have constant area as is often found in zone plates and diffractive lenses or the rings can have arbitrary areas. Analytic expressions for the OTF decomposition coefficients again can be determined for ring structures with constant and quadratic phase variations. The OTF decomposition provides a general tool to analyze and compare a diverse set of optical systems.

Original languageEnglish (US)
Title of host publicationCurrent Developments in Lens Design and Optical Engineering XVIII
EditorsVirendra N. Mahajan, Simon Thibault, R. Barry Johnson
PublisherSPIE
ISBN (Electronic)9781510612075
DOIs
StatePublished - 2017
EventCurrent Developments in Lens Design and Optical Engineering XVIII 2017 - San Diego, United States
Duration: Aug 7 2017Aug 8 2017

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume10375
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Other

OtherCurrent Developments in Lens Design and Optical Engineering XVIII 2017
CountryUnited States
CitySan Diego
Period8/7/178/8/17

Keywords

  • Annular pupils
  • Decomposition
  • Mathematics
  • Modulation transfer function
  • Optical transfer function

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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  • Cite this

    Schwiegerling, J. (2017). Linear decomposition of the optical transfer function for annular pupils. In V. N. Mahajan, S. Thibault, & R. B. Johnson (Eds.), Current Developments in Lens Design and Optical Engineering XVIII [103750F] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 10375). SPIE. https://doi.org/10.1117/12.2274788