Relating wavefront error, apodization, and the optical transfer function: On-axis case

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

The incoherent optical transfer function (OTF) describes contrast degradation and phase shifts of sinusoidal objects of all spatial frequencies and orientations. The OTF is calculated as either an autocorrelation of the pupil function or the Fourier transform of the point spread function. Even with fast algorithms, these calculations can be slow for a densely sampled pupil. Here, a linear expansion of the OTF is developed in which the expansion coefficients are related to the wavefront error and apodization coefficients. The advantage of such a representation is that the OTF can be quickly generated from parameters of the optical system.

Original languageEnglish (US)
Pages (from-to)2476-2483
Number of pages8
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Volume31
Issue number11
DOIs
StatePublished - Nov 1 2014

Fingerprint

optical transfer function
apodization
Optical transfer function
Wavefronts
Pupil
Optical Devices
Fourier Analysis
pupils
expansion
coefficients
point spread functions
autocorrelation
phase shift
Autocorrelation
Phase shift
Optical systems
degradation
Fourier transforms
shift
Degradation

ASJC Scopus subject areas

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

Cite this

@article{e7691574f8ab4df0bf25479dfb5285d8,
title = "Relating wavefront error, apodization, and the optical transfer function: On-axis case",
abstract = "The incoherent optical transfer function (OTF) describes contrast degradation and phase shifts of sinusoidal objects of all spatial frequencies and orientations. The OTF is calculated as either an autocorrelation of the pupil function or the Fourier transform of the point spread function. Even with fast algorithms, these calculations can be slow for a densely sampled pupil. Here, a linear expansion of the OTF is developed in which the expansion coefficients are related to the wavefront error and apodization coefficients. The advantage of such a representation is that the OTF can be quickly generated from parameters of the optical system.",
author = "Schwiegerling, {James T}",
year = "2014",
month = "11",
day = "1",
doi = "10.1364/JOSAA.31.002476",
language = "English (US)",
volume = "31",
pages = "2476--2483",
journal = "Journal of the Optical Society of America A: Optics and Image Science, and Vision",
issn = "1084-7529",
publisher = "The Optical Society",
number = "11",

}

TY - JOUR

T1 - Relating wavefront error, apodization, and the optical transfer function

T2 - On-axis case

AU - Schwiegerling, James T

PY - 2014/11/1

Y1 - 2014/11/1

N2 - The incoherent optical transfer function (OTF) describes contrast degradation and phase shifts of sinusoidal objects of all spatial frequencies and orientations. The OTF is calculated as either an autocorrelation of the pupil function or the Fourier transform of the point spread function. Even with fast algorithms, these calculations can be slow for a densely sampled pupil. Here, a linear expansion of the OTF is developed in which the expansion coefficients are related to the wavefront error and apodization coefficients. The advantage of such a representation is that the OTF can be quickly generated from parameters of the optical system.

AB - The incoherent optical transfer function (OTF) describes contrast degradation and phase shifts of sinusoidal objects of all spatial frequencies and orientations. The OTF is calculated as either an autocorrelation of the pupil function or the Fourier transform of the point spread function. Even with fast algorithms, these calculations can be slow for a densely sampled pupil. Here, a linear expansion of the OTF is developed in which the expansion coefficients are related to the wavefront error and apodization coefficients. The advantage of such a representation is that the OTF can be quickly generated from parameters of the optical system.

UR - http://www.scopus.com/inward/record.url?scp=84942374069&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84942374069&partnerID=8YFLogxK

U2 - 10.1364/JOSAA.31.002476

DO - 10.1364/JOSAA.31.002476

M3 - Article

AN - SCOPUS:84942374069

VL - 31

SP - 2476

EP - 2483

JO - Journal of the Optical Society of America A: Optics and Image Science, and Vision

JF - Journal of the Optical Society of America A: Optics and Image Science, and Vision

SN - 1084-7529

IS - 11

ER -