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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| JOSA A: OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 1 — Jan. 1, 2009
  • pp: 85–90

Optics InfoBase > JOSA A > Volume 26 > Issue 1 > Page 85

Centroid distortion of a wavefront with varying amplitude due to asymmetry in lens diffraction

Yuval Carmon and Erez N. Ribak

JOSA A, Vol. 26, Issue 1, pp. 85-90        doi:10.1364/JOSAA.26.000085

» View Full Text: Acrobat PDF (198 KB)

  • OCIS Codes:
  • (010.1080) Atmospheric and oceanic optics : Active or adaptive optics
  • (010.7350) Atmospheric and oceanic optics : Wave-front sensing
  • (260.1960) Physical optics : Diffraction theory
  • (330.4300) Vision, color, and visual optics : Vision system - noninvasive assessment
ToC Category:
Atmospheric and Oceanic Optics

Citation
Yuval Carmon and Erez N. Ribak, "Centroid distortion of a wavefront with varying amplitude due to asymmetry in lens diffraction," J. Opt. Soc. Am. A 26, 85-90 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-1-85

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Abstract

It is often of interest to measure the centroid of a light intensity pattern in order to deduce physical properties. Examples are the Hartmann-Shack sensor, which measures the wavefront slopes, and position sensors. We investigate whether amplitude changes of the incoming electromagnetic field can affect the location of the centroid, and we show that the effect is strongly dependent on the relative size of the diffraction pattern in relation to the lenslet size. We show that if the phase varies slowly in space—and the focal spot size relative to the centroid integration area approaches zero—this variation does not affect the centroid. This is a consequence of symmetry properties of the Fresnel operator. We then show that when the focal width is not infinitely small, changes in the field amplitude can exacerbate distortion of the centroid results.

© 2008 Optical Society of America

» View Full Text: Acrobat PDF (198 KB)

History
Original Manuscript: July 3, 2008
Manuscript Accepted: October 27, 2008
Revised Manuscript: October 24, 2008
Published: December 12, 2008

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Author Affiliations

Yuval Carmon, Erez N. Ribak

Technion-Israel Institute of Technology

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