Theory of sixth-order wave aberrations

Research output: Contribution to journalArticle

43 Citations (Scopus)

Abstract

A sixth-order theory of wave aberrations for axially symmetric systems is developed. Specific formulas for the sixth-order extrinsic and intrinsic wave aberration coefficients are given, as well as relations between pupil and image aberrations. Equations are developed for the wavefront propagation to the sixth order of approximation. The concept of the irradiance function is developed, and the second-order irradiance coefficients are found via conservation of flux at the pupils of the optical system and in terms of pupil aberrations. From purely geometrical considerations a generalized irradiance transport equation that describes irradiance changes in an optical system is derived. Confirming the aberration coefficients with real raytracing data was found to be indispensable.

Original languageEnglish (US)
JournalApplied Optics
Volume49
Issue number16
DOIs
StatePublished - Jun 1 2010

Fingerprint

Aberrations
aberration
irradiance
pupils
Optical systems
coefficients
Wavefronts
conservation
Conservation
Fluxes
propagation
approximation

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Theory of sixth-order wave aberrations. / Sasian, Jose M.

In: Applied Optics, Vol. 49, No. 16, 01.06.2010.

Research output: Contribution to journalArticle

@article{53c81989e4f3403bad224dccba5e1f0e,
title = "Theory of sixth-order wave aberrations",
abstract = "A sixth-order theory of wave aberrations for axially symmetric systems is developed. Specific formulas for the sixth-order extrinsic and intrinsic wave aberration coefficients are given, as well as relations between pupil and image aberrations. Equations are developed for the wavefront propagation to the sixth order of approximation. The concept of the irradiance function is developed, and the second-order irradiance coefficients are found via conservation of flux at the pupils of the optical system and in terms of pupil aberrations. From purely geometrical considerations a generalized irradiance transport equation that describes irradiance changes in an optical system is derived. Confirming the aberration coefficients with real raytracing data was found to be indispensable.",
author = "Sasian, {Jose M}",
year = "2010",
month = "6",
day = "1",
doi = "10.1364/AO.49.000D69",
language = "English (US)",
volume = "49",
journal = "Applied Optics",
issn = "1559-128X",
publisher = "The Optical Society",
number = "16",

}

TY - JOUR

T1 - Theory of sixth-order wave aberrations

AU - Sasian, Jose M

PY - 2010/6/1

Y1 - 2010/6/1

N2 - A sixth-order theory of wave aberrations for axially symmetric systems is developed. Specific formulas for the sixth-order extrinsic and intrinsic wave aberration coefficients are given, as well as relations between pupil and image aberrations. Equations are developed for the wavefront propagation to the sixth order of approximation. The concept of the irradiance function is developed, and the second-order irradiance coefficients are found via conservation of flux at the pupils of the optical system and in terms of pupil aberrations. From purely geometrical considerations a generalized irradiance transport equation that describes irradiance changes in an optical system is derived. Confirming the aberration coefficients with real raytracing data was found to be indispensable.

AB - A sixth-order theory of wave aberrations for axially symmetric systems is developed. Specific formulas for the sixth-order extrinsic and intrinsic wave aberration coefficients are given, as well as relations between pupil and image aberrations. Equations are developed for the wavefront propagation to the sixth order of approximation. The concept of the irradiance function is developed, and the second-order irradiance coefficients are found via conservation of flux at the pupils of the optical system and in terms of pupil aberrations. From purely geometrical considerations a generalized irradiance transport equation that describes irradiance changes in an optical system is derived. Confirming the aberration coefficients with real raytracing data was found to be indispensable.

UR - http://www.scopus.com/inward/record.url?scp=77956000395&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77956000395&partnerID=8YFLogxK

U2 - 10.1364/AO.49.000D69

DO - 10.1364/AO.49.000D69

M3 - Article

C2 - 20517361

AN - SCOPUS:77956000395

VL - 49

JO - Applied Optics

JF - Applied Optics

SN - 1559-128X

IS - 16

ER -