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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 40, Iss. 19 — Jul. 1, 2001
  • pp: 3164–3168

Three-dimensional behavior of apodized nontelecentric focusing systems

Manuel Martínez-Corral, Laura Muñoz-Escrivá, and Amparo Pons  »View Author Affiliations


Applied Optics, Vol. 40, Issue 19, pp. 3164-3168 (2001)
http://dx.doi.org/10.1364/AO.40.003164


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Abstract

The scalar field in the focal volume of nontelecentric apodized focusing systems cannot be accurately described by the Debye integral representation. By use of the Fresnel–Kirchhoff diffraction formula it is found that, if the aperture stop is axially displaced, the focal-volume structure is tuned. We analyze the influence of the apodizing function and find that, whereas axially superresolving pupil filters are highly sensitive to the focal-volume reshaping effect, axially apodizing filters are more inclined to the focal-shift effect.

© 2001 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(050.1940) Diffraction and gratings : Diffraction
(220.1230) Optical design and fabrication : Apodization

History
Original Manuscript: August 4, 2000
Revised Manuscript: March 9, 2001
Published: July 1, 2001

Citation
Manuel Martínez-Corral, Laura Muñoz-Escrivá, and Amparo Pons, "Three-dimensional behavior of apodized nontelecentric focusing systems," Appl. Opt. 40, 3164-3168 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-19-3164


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References

  1. M. Born, E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1987), Chap. 8.
  2. J. J. Stammes, Waves in Focal Regions (Hilger, Bristol, UK, 1986).
  3. M. Gu, Principles of Three-Dimensional Imaging in Confocal Microscopes (World Scientific, London, 1996), Chap. 2.
  4. P. Jacquinot, B. Rozien-Dossier, “Apodisation,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1964), Vol. 3. [CrossRef]
  5. Y. Li, E. Wolf, “Focal shifts in diffracted converging spherical waves,” Opt. Commun. 39, 211–215 (1981). [CrossRef]
  6. S. De Nicola, “On-axis focal shift effects in focused truncated Jo Bessel beams,” Pure Appl. Opt. 5, 827–831 (1996). [CrossRef]
  7. R. Borghi, M. Santarsiero, F. Gori, “Axial intensity of apertured Bessel beams,” J. Opt. Soc. Am. A 14, 23–26 (1997). [CrossRef]
  8. M. Martínez-Corral, C. J. Zapata-Rodríguez, P. Andrés, M. Kowalczyk, “Analytical formula for calculating the focal shift in apodized systems,” J. Mod. Opt. 45, 1671–1679 (1998). [CrossRef]
  9. M. Martínez-Corral, P. Andrés, C. J. Zapata-Rodríguez, M. Kowalczyk, “Three-dimensional superresolution by annular binary filters,” Opt. Commun. 165, 267–278 (1999). [CrossRef]
  10. E. H. K. Stelzer, S. Grill, “The uncertainty principle applied to estimate focal spot dimensions,” Opt. Commun. 173, 51–56 (2000). [CrossRef]
  11. U. Vokinger, R. Dändliker, P. Blattner, H. P. Herzig, “Unconventional treatment of focal shift,” Opt. Commun. 157, 218–224 (1998). [CrossRef]
  12. I. G. Palchikova, S. G. Rautian, “The diffractive optical power of a diaphragm,” Opt. Commun. 174, 1–5 (2000). [CrossRef]
  13. Y. Li, E. Wolf, “Three-dimensional intensity distribution near the focus in systems of different Fresnel numbers,” J. Opt. Soc. Am. A 1, 801–808 (1984). [CrossRef]
  14. R. G. Wenzel, “Effect of the aperture-lens separation on the focal shift in large-F-number systems,” J. Opt. Soc. Am. A 4, 340–345 (1987). [CrossRef]
  15. C. J. R. Sheppard, P. Török, “Dependence of Fresnel number on aperture stop position,” J. Opt. Soc. Am. A 15, 3016–3019 (1998). [CrossRef]
  16. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996).
  17. C. J. Zapata-Rodríguez, P. Andrés, M. Martínez-Corral, L. Muñoz-Escrivá, “Gaussian imaging transformation for the paraxial Debye formulation of the focal region in a low-Fresnel-number optical system,” J. Opt. Soc. Am. A 17, 1185–1191 (2000). [CrossRef]
  18. M. Martínez-Corral, V. Climent, “Focal switch: a new effect in low Fresnel-number systems,” Appl. Opt. 35, 24–26 (1996). [CrossRef] [PubMed]
  19. Y. Li, “Focal shift and focal switch in dual-focus systems,” J. Opt. Soc. Am. A 14, 1297–1304 (1997). [CrossRef]
  20. W. T. Welford, “Use of annular apertures to increase focal depth,” J. Opt. Soc. Am. 50, 749–753 (1960). [CrossRef]

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