Criteria for correction of all aberrations with quadratic field dependence

Chunyu Zhao, James H Burge

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

Abstract

Aberrations of imaging systems can be described using a polynomial expansion of the dependence on field position. Aberrations on axis and those with linear field dependence can be calculated and controlled using Fermat's principle and the Abbe Sine Condition. We now present a powerful new set of relationships that fully describe the aberrations that depend on the second power of the field. A simple set of equations, derived using Hamilton's characteristic functions, which we call the Pupil Astigmatism Criteria, use on-axis behavior to evaluate and control all aberrations with quadratic field dependence and arbitrary dependence on the pupil. These relations are explained, validated, and applied to design optical systems that are free of all quadratic field dependent aberrations.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsP.K. Manhart, J.M. Sasian
Pages226-235
Number of pages10
Volume4832
DOIs
StatePublished - 2002
EventInternational Optical Design Conference 2002 - Tucson, AZ, United States
Duration: Jun 3 2002Jun 5 2002

Other

OtherInternational Optical Design Conference 2002
CountryUnited States
CityTucson, AZ
Period6/3/026/5/02

Fingerprint

Aberrations
aberration
pupils
Fermat principle
astigmatism
characteristic equations
Optical systems
Imaging systems
polynomials
Polynomials
expansion

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

Cite this

Zhao, C., & Burge, J. H. (2002). Criteria for correction of all aberrations with quadratic field dependence. In P. K. Manhart, & J. M. Sasian (Eds.), Proceedings of SPIE - The International Society for Optical Engineering (Vol. 4832, pp. 226-235) https://doi.org/10.1117/12.486469

Criteria for correction of all aberrations with quadratic field dependence. / Zhao, Chunyu; Burge, James H.

Proceedings of SPIE - The International Society for Optical Engineering. ed. / P.K. Manhart; J.M. Sasian. Vol. 4832 2002. p. 226-235.

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

Zhao, C & Burge, JH 2002, Criteria for correction of all aberrations with quadratic field dependence. in PK Manhart & JM Sasian (eds), Proceedings of SPIE - The International Society for Optical Engineering. vol. 4832, pp. 226-235, International Optical Design Conference 2002, Tucson, AZ, United States, 6/3/02. https://doi.org/10.1117/12.486469
Zhao C, Burge JH. Criteria for correction of all aberrations with quadratic field dependence. In Manhart PK, Sasian JM, editors, Proceedings of SPIE - The International Society for Optical Engineering. Vol. 4832. 2002. p. 226-235 https://doi.org/10.1117/12.486469
Zhao, Chunyu ; Burge, James H. / Criteria for correction of all aberrations with quadratic field dependence. Proceedings of SPIE - The International Society for Optical Engineering. editor / P.K. Manhart ; J.M. Sasian. Vol. 4832 2002. pp. 226-235
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