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Optics Letters

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  • Vol. 23, Iss. 21 — Nov. 1, 1998
  • pp: 1639–1641

Design of diffractive axicons for partially coherent light

Sergei Yu. Popov and Ari T. Friberg  »View Author Affiliations


Optics Letters, Vol. 23, Issue 21, pp. 1639-1641 (1998)
http://dx.doi.org/10.1364/OL.23.001639


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Abstract

We propose a novel method of designing diffractive axicons for use in spatially partially coherent illumination. The design procedure is based on the results obtained by the stationary-phase method. The technique leads to a coherence-dependent differential equation with appropriate boundary conditions for the axicon phase function. We demonstrate the method with annular-aperture axicons generating extended focal line segments of uniform on-axis intensity.

© 1998 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(050.1970) Diffraction and gratings : Diffractive optics
(110.2990) Imaging systems : Image formation theory

Citation
Sergei Yu. Popov and Ari T. Friberg, "Design of diffractive axicons for partially coherent light," Opt. Lett. 23, 1639-1641 (1998)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-23-21-1639


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References

  1. Z. Jaroszewicz, Axicons: Design and Propagation Properties, Vol. 5 of Research & Development Treatises (Society of Photo-Optical Instrumentation Engineers, Bellingham, Wash., 1997).
  2. V. P. Koronkevich, I. A. Mikhaltsova, E. G. Churin, and Yu. I. Yurlov, Appl. Opt. 34, 5761 (1995).
  3. N. Davidson, A. A. Friesem, and E. Hasman, Opt. Commun. 88, 326 (1992).
  4. J. Sochacki, A. Kolodziejczyk, Z. Jaroszewicz, and S. Bara, Appl. Opt. 31, 5326 (1992).
  5. J. Sochacki, Z. Jaroszewicz, L. R. Staronski, and A. Kolodziejczyk, J. Opt. Soc. Am. A 10, 1765 (1993).
  6. Z. Jaroszewicz, J. Sochacki, A. Kolodziejczyk, and L. R. Staronski, Opt. Lett. 18, 1893 (1993).
  7. S. Yu. Popov and A. T. Friberg, Pure Appl. Opt. 7, 537 (1998).
  8. A. T. Friberg, J. Opt. Soc. Am. A 13, 743 (1996).
  9. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, UK, 1995), Secs. 4.3 and 4.4.
  10. S. Yu. Popov and A. T. Friberg, Opt. Eng. 34, 2567 (1995).
  11. A. T. Friberg and S. Yu. Popov, Appl. Opt. 35, 3039 (1996).
  12. Z. Jaroszewicz, J. F. Roman Dopato, and C. Gomez-Reino, Appl. Opt. 35, 1025 (1996).
  13. A. T. Friberg and S. Yu. Popov, in Diffractive Optics: Design, Fabrication, and Applications, Vol. 11 of 1994 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1994), p. 224.
  14. J. Turunen and F. Wyrowski, eds., Diffractive Optics for Industrial and Commercial Applications (Akademie, Berlin, 1997).
  15. One might argue that C1 could be determined from energy conservation. This is not so simple, however, since the integral of I(0, z) over the image segment along the z axis has no obvious physical meaning [cf. Ref. 4 and L. R. Staronski, J. Sochacki, Z. Jaroszewicz, A. Kolodziejczyk, J. Opt. Soc. Am. A 9, 2091 (1992). Considerations of energy conservation must be based on the energy-flux vector.

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