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
PublisherSPIE
Volume10375
ISBN (Electronic)9781510612075
DOIs
StatePublished - Jan 1 2017
EventCurrent Developments in Lens Design and Optical Engineering XVIII 2017 - San Diego, United States
Duration: Aug 7 2017Aug 8 2017

Other

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

Fingerprint

optical transfer function
Optical transfer function
pupils
Transfer Function
ring structures
Optical systems
Optical System
Decomposition
Ring
decomposition
Decompose
apodization
Defocus
occultation
Wavefronts
Coefficient
coefficients
Wave Front
Lens
Basis Functions

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

Cite this

Schwiegerling, J. T. (2017). Linear decomposition of the optical transfer function for annular pupils. In Current Developments in Lens Design and Optical Engineering XVIII (Vol. 10375). [103750F] SPIE. https://doi.org/10.1117/12.2274788

Linear decomposition of the optical transfer function for annular pupils. / Schwiegerling, James T.

Current Developments in Lens Design and Optical Engineering XVIII. Vol. 10375 SPIE, 2017. 103750F.

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

Schwiegerling, JT 2017, Linear decomposition of the optical transfer function for annular pupils. in Current Developments in Lens Design and Optical Engineering XVIII. vol. 10375, 103750F, SPIE, Current Developments in Lens Design and Optical Engineering XVIII 2017, San Diego, United States, 8/7/17. https://doi.org/10.1117/12.2274788
Schwiegerling JT. Linear decomposition of the optical transfer function for annular pupils. In Current Developments in Lens Design and Optical Engineering XVIII. Vol. 10375. SPIE. 2017. 103750F https://doi.org/10.1117/12.2274788
Schwiegerling, James T. / Linear decomposition of the optical transfer function for annular pupils. Current Developments in Lens Design and Optical Engineering XVIII. Vol. 10375 SPIE, 2017.
@inproceedings{90294b06cbdc4e1ab465b9c0d6104160,
title = "Linear decomposition of the optical transfer function for annular pupils",
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.",
keywords = "Annular pupils, Decomposition, Mathematics, Modulation transfer function, Optical transfer function",
author = "Schwiegerling, {James T}",
year = "2017",
month = "1",
day = "1",
doi = "10.1117/12.2274788",
language = "English (US)",
volume = "10375",
booktitle = "Current Developments in Lens Design and Optical Engineering XVIII",
publisher = "SPIE",
address = "United States",

}

TY - GEN

T1 - Linear decomposition of the optical transfer function for annular pupils

AU - Schwiegerling, James T

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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.

KW - Annular pupils

KW - Decomposition

KW - Mathematics

KW - Modulation transfer function

KW - Optical transfer function

UR - http://www.scopus.com/inward/record.url?scp=85038970639&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85038970639&partnerID=8YFLogxK

U2 - 10.1117/12.2274788

DO - 10.1117/12.2274788

M3 - Conference contribution

AN - SCOPUS:85038970639

VL - 10375

BT - Current Developments in Lens Design and Optical Engineering XVIII

PB - SPIE

ER -