Non-null interferometer for measurement of aspheric transmitted wavefronts

Robert O. Gappinger, John E Greivenkamp

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

8 Citations (Scopus)

Abstract

Testing in a non-null manner causes the test and reference rays in the interferometer to follow different optical paths through the system. The retrace errors generated by this difference are test dependent and must be calibrated independently for each test piece. Optical design software can be used to perform reverse optimization of the interferometer and data. An iterative reverse optimization process has been developed which eliminates weighting sensitivity and improves optimization efficiency. However, implementation of reverse optimization generates constraints on the interferometer design. These include constraints on lens parameters, system apertures, and component verification considerations. A Mach-Zehnder interferometer has been built for non-null transmitted aspheric wavefront testing. The large aspheric departures and steep wavefront slopes are detected and reconstructed using Sub-Nyquist interferometry (SNI). Experiments on several test parts were performed to verify the iterative reverse optimization process and extend the use of SNI to non-rotationally symmetric aspheric wavefronts depatures up to 200λ were characterized to λ/6 PV and λ/47 rms. The reverse optimization process was shown to remove up to 25λ of induced aberration from an aspheric measurement. The results indicate potential for application of the iterative method and its associated design constraints to routine aspheric testing.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsH. Philip Stahl
Pages301-312
Number of pages12
Volume5180
StatePublished - 2003
EventOptical Manufacturing and Testing V - San Diego, CA, United States
Duration: Aug 3 2003Aug 5 2003

Other

OtherOptical Manufacturing and Testing V
CountryUnited States
CitySan Diego, CA
Period8/3/038/5/03

Fingerprint

Wavefronts
Interferometers
interferometers
optimization
Interferometry
Testing
interferometry
Mach-Zehnder interferometers
Optical design
Iterative methods
Aberrations
optical paths
Lenses
aberration
rays
apertures
lenses
slopes
computer programs
causes

Keywords

  • Aspheric testing
  • Interferometer design
  • Non-null interferometery
  • Reverse optimization
  • Sparse array
  • Sub-nyquist interferometry

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

Cite this

Gappinger, R. O., & Greivenkamp, J. E. (2003). Non-null interferometer for measurement of aspheric transmitted wavefronts. In H. Philip Stahl (Ed.), Proceedings of SPIE - The International Society for Optical Engineering (Vol. 5180, pp. 301-312)

Non-null interferometer for measurement of aspheric transmitted wavefronts. / Gappinger, Robert O.; Greivenkamp, John E.

Proceedings of SPIE - The International Society for Optical Engineering. ed. / H. Philip Stahl. Vol. 5180 2003. p. 301-312.

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

Gappinger, RO & Greivenkamp, JE 2003, Non-null interferometer for measurement of aspheric transmitted wavefronts. in H Philip Stahl (ed.), Proceedings of SPIE - The International Society for Optical Engineering. vol. 5180, pp. 301-312, Optical Manufacturing and Testing V, San Diego, CA, United States, 8/3/03.
Gappinger RO, Greivenkamp JE. Non-null interferometer for measurement of aspheric transmitted wavefronts. In Philip Stahl H, editor, Proceedings of SPIE - The International Society for Optical Engineering. Vol. 5180. 2003. p. 301-312
Gappinger, Robert O. ; Greivenkamp, John E. / Non-null interferometer for measurement of aspheric transmitted wavefronts. Proceedings of SPIE - The International Society for Optical Engineering. editor / H. Philip Stahl. Vol. 5180 2003. pp. 301-312
@inproceedings{7a9d9624908f47e7b450a0ecb958d1f7,
title = "Non-null interferometer for measurement of aspheric transmitted wavefronts",
abstract = "Testing in a non-null manner causes the test and reference rays in the interferometer to follow different optical paths through the system. The retrace errors generated by this difference are test dependent and must be calibrated independently for each test piece. Optical design software can be used to perform reverse optimization of the interferometer and data. An iterative reverse optimization process has been developed which eliminates weighting sensitivity and improves optimization efficiency. However, implementation of reverse optimization generates constraints on the interferometer design. These include constraints on lens parameters, system apertures, and component verification considerations. A Mach-Zehnder interferometer has been built for non-null transmitted aspheric wavefront testing. The large aspheric departures and steep wavefront slopes are detected and reconstructed using Sub-Nyquist interferometry (SNI). Experiments on several test parts were performed to verify the iterative reverse optimization process and extend the use of SNI to non-rotationally symmetric aspheric wavefronts depatures up to 200λ were characterized to λ/6 PV and λ/47 rms. The reverse optimization process was shown to remove up to 25λ of induced aberration from an aspheric measurement. The results indicate potential for application of the iterative method and its associated design constraints to routine aspheric testing.",
keywords = "Aspheric testing, Interferometer design, Non-null interferometery, Reverse optimization, Sparse array, Sub-nyquist interferometry",
author = "Gappinger, {Robert O.} and Greivenkamp, {John E}",
year = "2003",
language = "English (US)",
volume = "5180",
pages = "301--312",
editor = "{Philip Stahl}, H.",
booktitle = "Proceedings of SPIE - The International Society for Optical Engineering",

}

TY - GEN

T1 - Non-null interferometer for measurement of aspheric transmitted wavefronts

AU - Gappinger, Robert O.

AU - Greivenkamp, John E

PY - 2003

Y1 - 2003

N2 - Testing in a non-null manner causes the test and reference rays in the interferometer to follow different optical paths through the system. The retrace errors generated by this difference are test dependent and must be calibrated independently for each test piece. Optical design software can be used to perform reverse optimization of the interferometer and data. An iterative reverse optimization process has been developed which eliminates weighting sensitivity and improves optimization efficiency. However, implementation of reverse optimization generates constraints on the interferometer design. These include constraints on lens parameters, system apertures, and component verification considerations. A Mach-Zehnder interferometer has been built for non-null transmitted aspheric wavefront testing. The large aspheric departures and steep wavefront slopes are detected and reconstructed using Sub-Nyquist interferometry (SNI). Experiments on several test parts were performed to verify the iterative reverse optimization process and extend the use of SNI to non-rotationally symmetric aspheric wavefronts depatures up to 200λ were characterized to λ/6 PV and λ/47 rms. The reverse optimization process was shown to remove up to 25λ of induced aberration from an aspheric measurement. The results indicate potential for application of the iterative method and its associated design constraints to routine aspheric testing.

AB - Testing in a non-null manner causes the test and reference rays in the interferometer to follow different optical paths through the system. The retrace errors generated by this difference are test dependent and must be calibrated independently for each test piece. Optical design software can be used to perform reverse optimization of the interferometer and data. An iterative reverse optimization process has been developed which eliminates weighting sensitivity and improves optimization efficiency. However, implementation of reverse optimization generates constraints on the interferometer design. These include constraints on lens parameters, system apertures, and component verification considerations. A Mach-Zehnder interferometer has been built for non-null transmitted aspheric wavefront testing. The large aspheric departures and steep wavefront slopes are detected and reconstructed using Sub-Nyquist interferometry (SNI). Experiments on several test parts were performed to verify the iterative reverse optimization process and extend the use of SNI to non-rotationally symmetric aspheric wavefronts depatures up to 200λ were characterized to λ/6 PV and λ/47 rms. The reverse optimization process was shown to remove up to 25λ of induced aberration from an aspheric measurement. The results indicate potential for application of the iterative method and its associated design constraints to routine aspheric testing.

KW - Aspheric testing

KW - Interferometer design

KW - Non-null interferometery

KW - Reverse optimization

KW - Sparse array

KW - Sub-nyquist interferometry

UR - http://www.scopus.com/inward/record.url?scp=1842504234&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=1842504234&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:1842504234

VL - 5180

SP - 301

EP - 312

BT - Proceedings of SPIE - The International Society for Optical Engineering

A2 - Philip Stahl, H.

ER -