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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 39, Iss. 20 — Jul. 10, 2000
  • pp: 3453–3455

Fresnel number of a regular polygon and slit

Shaomin Wang, Qiang Lin, Liping Yu, and Xiaoling Xu  »View Author Affiliations


Applied Optics, Vol. 39, Issue 20, pp. 3453-3455 (2000)
http://dx.doi.org/10.1364/AO.39.003453


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Abstract

The concept of the Fresnel number is generalized to make it possible to describe the regular polygon and slit illuminated by a homogeneous plane wave. The generalization is based on nonlinear regression of the axial intensity distribution curve. A useful analytical expression for the Fresnel number is presented. A simple experiment to show the different Fresnel numbers in one observation plane is illustrated.

© 2000 Optical Society of America

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(050.1940) Diffraction and gratings : Diffraction

History
Original Manuscript: October 18, 1999
Revised Manuscript: March 27, 2000
Published: July 10, 2000

Citation
Shaomin Wang, Qiang Lin, Liping Yu, and Xiaoling Xu, "Fresnel number of a regular polygon and slit," Appl. Opt. 39, 3453-3455 (2000)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-20-3453


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References

  1. S. Wang, D. Zhao, Principles of Matrix Optics (Hangzhou University, Hangzhou, China, 1994).
  2. A. J. Campillo, J. E. Pearson, S. L. Shapire, N. J. Terrell, “Fresnel diffraction effects in the design of high-power laser systems,” Appl. Phys. Lett. 23, 85–87 (1973). [CrossRef]
  3. D. Fan, “Fresnel number in terms of ray transfer matrix elements,” Opt. Acta 3, 319–325 (1983).
  4. S. Wang, E. Bernabeu, J. Alda, “Unified and generalized Fresnel numbers,” Opt. Quantum Electron. 24, 1351–1358 (1992). [CrossRef]
  5. S. Wang, Q. Lin, E. Bernabeu, J. Alda, Introduction to Apertured Optics (Hangzhou University, Hangzhou, China, 1991).
  6. Y. Li, E. Wolf, “Focal shifts in diffracted converging spherical waves,” Opt. Commun. 39, 211–214 (1981). [CrossRef]
  7. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996).
  8. M. Born, E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1980).

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