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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 13, Iss. 11 — Nov. 1, 1974
  • pp: 2638–2642

Far Field Diffraction Patterns of Circular Gratings

Andre Fedotowsky and Kurt Lehovec  »View Author Affiliations


Applied Optics, Vol. 13, Issue 11, pp. 2638-2642 (1974)
http://dx.doi.org/10.1364/AO.13.002638


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Abstract

The fine structure of the annular images of circular gratings is analyzed in terms of diffraction patterns of axicon pairs. Each image arises substantially from only one converging and one diverging axicon of equal deflection angle. Single main lobe, symmetric double main lobe, and various intermediate asymmetric double lobe structures are obtained depending on the phase relationship and strengths of the two axicon beams, which in turn depend on the design of the circular grating. Approximate expressions are derived for the intensity distribution and energy content of the symmetric single and double lobe images.

© 1974 Optical Society of America

History
Original Manuscript: November 14, 1973
Published: November 1, 1974

Citation
Andre Fedotowsky and Kurt Lehovec, "Far Field Diffraction Patterns of Circular Gratings," Appl. Opt. 13, 2638-2642 (1974)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-13-11-2638


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References

  1. D. Tichenor, R. N. Bracewell, J. Opt. Soc. Am. 63, 1620 (1973). [CrossRef]
  2. R. N. Bracewell, A. R. Thompson, Astrophys. J. 182, 77 (1973). [CrossRef]
  3. J. Dyson, Proc. R. Soc. Lond. A248, 93 (1958).
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  7. M. Abramovitz, L. A. Stegun, Eds., Handbook of Mathematical Functions (National Bureau of Standards, Appl. Math. Series 55, Washington, D.C., 1964), p. 321.
  8. The Fourier coefficients for gratings consisting of alternating opaque and transparent zones are b±m = ±(mπ)−1 for odd m; b±m = 0 for even m > 2; and bo = 1/2.
  9. A. Boivin, Theorie et Calcul des Figures de Diffraction de Revolution (Gauthier Villars, Les Presses de l’Université Laval Quebec, 1964).
  10. A. Fedotowsky, K. Lehovec, Appl. Opt. 13, Dec. (1974). [PubMed]

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