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

Optics InfoBase > JOSA A > Volume 23 > Issue 10 > Page 2476

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

JOSA A, Vol. 23, Issue 10, pp. 2476-2493        doi:10.1364/JOSAA.23.002476

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  • 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

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

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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

» View Full Text: Acrobat PDF (569 KB)

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

References

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Author Affiliations

Saeed Bagheri, Daniela Pucci de Farias, George Barbastathis

Massachusetts Institute of Technology

Mark A. Neifeld

University of Arizona

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