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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 2, Iss. 10 — Oct. 1, 1985
  • pp: 1677–1686

Phase distribution near the focus in systems of different Fresnel numbers

Yajun Li  »View Author Affiliations


JOSA A, Vol. 2, Issue 10, pp. 1677-1686 (1985)
http://dx.doi.org/10.1364/JOSAA.2.001677


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Abstract

Three-dimensional phase distribution near the focal plane is demonstrated by cross-section profiles of cophasal surfaces. The phase distribution in the focal plane and the phase anomaly in the focus are discussed in greater detail. Numerical results obtained are arranged systematically with Fresnel numbers sampled between 0.5 and 100, a sampling that covers conventional and unconventional cases.

© 1985 Optical Society of America

History
Original Manuscript: January 31, 1985
Manuscript Accepted: June 3, 1985
Published: October 1, 1985

Citation
Yajun Li, "Phase distribution near the focus in systems of different Fresnel numbers," J. Opt. Soc. Am. A 2, 1677-1686 (1985)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-2-10-1677


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References

  1. M. Born, E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1980), Sec. 8.8.
  2. A. Rubinowicz, “On the anomalous propagation of phase in the focus,” Phys. Rev. 54, 931–936 (1938). [CrossRef]
  3. E. H. Linfoot, E. Wolf, “Phase distribution near focus in an aberration-free diffraction image,” Proc. Phys. Soc. London 69, 823–832 (1956). [CrossRef]
  4. R. W. Boyd, “Intuitive explanation of the phase anomaly of focused light beams,” J. Opt. Soc. Am. 70, 877–880 (1980). [CrossRef]
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  6. H. J. Erkkila, M. E. Rogers, “Diffracted field in the focal volume of a converging wave,” J. Opt. Soc. Am. 71, 904–905 (1981). [CrossRef]
  7. J. J. Stamnes, B. Spjelkavik, “Focusing of small angular aperture in the Debye and Kirchhoff approximations,” Opt. Commun. 40, 81–85 (1981). [CrossRef]
  8. E. Wolf, Y. Li, “Conditions for the validity of the Debye integral representation of focused fields,” Opt. Commun. 39, 205–210 (1981). [CrossRef]
  9. Y. Li, E. Wolf, “Focal shifts in diffracted converging spherical waves,” Opt. Commun. 39, 211–215 (1981). [CrossRef]
  10. Y. Li, “Dependence of the focal shift on Fresnel number and f number,” J. Opt. Soc. Am. 72, 770–774 (1982). [CrossRef]
  11. Y. Li, “Encircled energy for systems of different Fresnel numbers,” Optik 64, 207–218 (1983).
  12. 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]
  13. G. W. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed. (Cambridge U. Press, London, 1962), Sec. 16.5.
  14. G. W. Farnell, “Measured phase distribution in the image space of a microwave lens,” Can. J. Phys. 36, 935–943 (1958). [CrossRef]
  15. Y. Li, “The anomalous propagation of phase in the focus: a reexamination,” Opt. Commun. 53, 359–363 (1985). [CrossRef]

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