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. 23, Iss. 10 — Oct. 1, 2006
  • pp: 2476–2493

Reduced-complexity representation of the coherent point-spread function in the presence of aberrations and arbitrarily large defocus

Saeed Bagheri, Daniela Pucci de Farias, George Barbastathis, and Mark A. Neifeld  »View Author Affiliations


JOSA A, Vol. 23, Issue 10, pp. 2476-2493 (2006)
http://dx.doi.org/10.1364/JOSAA.23.002476


View Full Text Article

Acrobat PDF (569 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We introduce a method to analyze the diffraction integral for evaluating the point-spread function. Our method is based on the use of higher-order Airy functions along with Zernike and Taylor expansions. Our approach is applicable when we are considering a finite, arbitrary number of aberrations and arbitrarily large defocus simultaneously. We present an upper bound for the complexity and the convergence rate of this method. We also compare the cost and accuracy of this method with those of traditional ones and show the efficiency of our method through these comparisons. In particular, we rigorously show that this method is constructed in a way that the complexity of the analysis (i.e., the number of terms needed for expressing the light disturbance) does not increase as either defocus or resolution of interest increases. This has applications in several fields such as biological microscopy, lithography, and multidomain optimization in optical systems.

© 2006 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(050.1940) Diffraction and gratings : Diffraction
(070.2590) Fourier optics and signal processing : ABCD transforms

ToC Category:
Fourier Optics and Optical Signal Processing

History
Original Manuscript: December 22, 2005
Revised Manuscript: May 2, 2006
Manuscript Accepted: May 4, 2006

Virtual Issues
Vol. 1, Iss. 11 Virtual Journal for Biomedical Optics

Citation
Saeed Bagheri, Daniela Pucci de Farias, George Barbastathis, and Mark A. Neifeld, "Reduced-complexity representation of the coherent point-spread function in the presence of aberrations and arbitrarily large defocus," J. Opt. Soc. Am. A 23, 2476-2493 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-10-2476

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited