OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 1 — Jan. 1, 2009
  • pp: 195–205

Calculation and correction of piston phase aberration in synthesis imaging

Richard J. Eastwood, Anne Marie Johnson, and Alan H. Greenaway  »View Author Affiliations


JOSA A, Vol. 26, Issue 1, pp. 195-205 (2009)
http://dx.doi.org/10.1364/JOSAA.26.000195


View Full Text Article

Enhanced HTML    Acrobat PDF (493 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The principle of redundant spacings calibration has previously been described for the purpose of calibrating piston phase aberration affecting elements of a dilute aperture array using a system of linear equations in terms of the aperture phases as well as object phase information. Here we develop matrices for the correction of piston phase aberration by use of image sharpness and also by phase retrieval. These are both presented in wavefront sensor formulation in order to draw analogy between the approaches. We then discuss solution ambiguity affecting both methods and describe array design criteria to prevent such ambiguity. The problem of increased image aliasing under image sharpness correction is also highlighted.

© 2008 Optical Society of America

OCIS Codes
(110.1220) Imaging systems : Apertures
(110.5100) Imaging systems : Phased-array imaging systems
(110.1080) Imaging systems : Active or adaptive optics

ToC Category:
Imaging Systems

History
Original Manuscript: March 3, 2008
Revised Manuscript: October 17, 2008
Manuscript Accepted: October 17, 2008
Published: December 24, 2008

Citation
Richard J. Eastwood, Anne Marie Johnson, and Alan H. Greenaway, "Calculation and correction of piston phase aberration in synthesis imaging," J. Opt. Soc. Am. A 26, 195-205 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-1-195


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. R. K. Tyson, Principles of Adaptive Optics (Academic, 1991).
  2. A. H. Greenaway, “Terrestrial Optical Aperture Synthesis Technique (TOAST),” Opt. Commun. 58, 149-154 (1986). [CrossRef]
  3. J. T. Armstrong, D. Mozurkewich, L. J. Rickard, D. J. Hutter, J. A. Benson, P. F. Bowers, N. M. Elias II, C. A. Hummel, K. J. Johnston, D. F. Buscher, J. H. Clark III, L. Ha, L.-C. Ling, N. M. White, and R. S. Simon, “The Navy Prototype Optical Interferometer,” Astrophys. J. 496, 550-571 (1998). [CrossRef]
  4. M. J. Creech-Eakman, E. J. Bakker, D. F. Buscher, T. A. Coleman, C. A. Haniff, C. A. Jurgenson, D. A. Klinglesmith III, C. B. Parameswariah, V. D. Romero, A. V. Shtromberg, and J. S. Young, “Magdalena Ridge Observatory Interferometer: status update,” Proc. SPIE 6268, 62681V (2006). [CrossRef]
  5. A. M. Johnson, R. J. Eastwood, and A. H. Greenaway, “Optical aperture synthesis,” in presented at the 3rd Electro Magnetic Remote Sensing Defence Technology Centre (EMRS DTC) Technical Conference, Edinburgh, Scotland, July 13-14, 2006. Available at http://www.emrsdtc.com/conferences/2006/confeṟmaterial.htm (last accessed December 15, 2008).
  6. A. H. Greenaway, “Self-calibrating dilute-aperture optics, in digital image synthesis and inverse optics,” Proc. SPIE 1351, 738-748 (1990). [CrossRef]
  7. M. Born and E. Wolf, Principles of Optics (Pergamon, 1995).
  8. R. A. Muller and A. Buffington, “Real-time correction of atmospherically degraded telescope images through image sharpening,” J. Opt. Soc. Am. 67, 1200-1210 (1974). [CrossRef]
  9. P. M. Blanchard, A. H. Greenaway, R. N. Anderton, R. Appleby, “Phase calibration of arrays at optical and millimeter wavelengths,” J. Opt. Soc. Am. A 13, 1593-1600 (1996). [CrossRef]
  10. J. H. Hubbard and B. B. Hubbard, Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach (Prentice-Hall, 2002).
  11. R. Kress, Numerical Analysis (Springer, 1998). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited