Relating wavefront error, apodization, and the optical transfer function: General case

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4 Scopus citations


In a previous paper, a technique was developed for decomposing the incoherent optical transfer function (OTF) into a linear combination of basis functions [J. Opt. Soc. Am. A 31, 2476 (2014)]. The expansion coefficients for the OTF are directly related to wavefront error coefficients and apodization factors. This earlier work assumed rotational symmetry, so that only the on-axis wavefront error components, defocus and various orders of spherical aberration, and rotationally symmetric apodization were handled. In this paper, the technique is generalized to handle arbitrary wavefront errors and apodization. Analytic expressions for the basis functions as well as an example expansion are provided.

Original languageEnglish (US)
Pages (from-to)726-731
Number of pages6
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Issue number5
StatePublished - May 1 2017

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Computer Vision and Pattern Recognition


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