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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 10 — Oct. 1, 2007
  • pp: 3379–3387

Nonparaxial analysis of continuous self-imaging gratings in oblique illumination

Guillaume Druart, Nicolas Guérineau, Riad Haïdar, Jérôme Primot, Pierre Chavel, and Jean Taboury  »View Author Affiliations

JOSA A, Vol. 24, Issue 10, pp. 3379-3387 (2007)

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Tolerance in angles of continuously self-imaging gratings (CSIGs) is explored. The degradation in angle of the shape of the point-spread function is theoretically investigated and illustrated by simulations and experiments. The formalism presented is inspired by the one used for classical lenses and can be easily generalized to diffraction gratings. It turns out that well-designed CSIGs could be used for scanning optical systems requiring a large field of view.

© 2007 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(110.3000) Imaging systems : Image quality assessment
(110.3080) Imaging systems : Infrared imaging

ToC Category:
Imaging Systems

Original Manuscript: May 4, 2007
Revised Manuscript: July 30, 2007
Manuscript Accepted: July 31, 2007
Published: September 25, 2007

Guillaume Druart, Nicolas Guérineau, Riad Haïdar, Jérôme Primot, Pierre Chavel, and Jean Taboury, "Nonparaxial analysis of continuous self-imaging gratings in oblique illumination," J. Opt. Soc. Am. A 24, 3379-3387 (2007)

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  1. J. Durnin, "Exact solutions for nondiffracting beams. I. The scalar theory," J. Opt. Soc. Am. 4, 651-654 (1987). [CrossRef]
  2. J. H. McLoed, "The axicon: a new type of optical element," J. Opt. Soc. Am. 14, 592-597 (1954). [CrossRef]
  3. L. M. Soroko, "Axicons and meso-optical imaging devices," in Progress in Optics, Vol. 27, E.Wolf, ed. (Elsevier, 1989), pp. 111-127.
  4. J. Sochacki, A. Kolodziejczyk, Z. Jaroszewicz, and S. Bara, "Nonparaxial design of generalized axicons," Appl. Opt. 31, 5326-5330 (1992). [CrossRef] [PubMed]
  5. A. T. Friberg, "Stationary-phase analysis of generalized axicons," J. Opt. Soc. Am. A 13, 743-750 (1996). [CrossRef]
  6. Z. Jaroszewicz and J. Morales, "Lens axicons: systems composed of a diverging aberrated lens and a perfect converging lens," J. Opt. Soc. Am. A 15, 2383-2390 (1998). [CrossRef]
  7. C. J. Zapata-Rodríguez and A. Sánchez-Losa, "Three-dimensional field distribution in the focal region of low-Fresnel-number axicons," J. Opt. Soc. Am. A 23, 3016-3026 (2006). [CrossRef]
  8. R. Arimoto, C. Saloma, T. Tanaka, and S. Kawata, "Imaging properties of axicon in a scanning optical system," Appl. Opt. 31, 6653-6657 (1992). [CrossRef] [PubMed]
  9. T. Grosjean, F. Baida, and D. Courjon, "Conical optics: the solution to confine light," Appl. Opt. 46, 1994-2000 (2007). [CrossRef] [PubMed]
  10. Z. Bin and L. Zhu, "Diffraction property of an axicon in oblique illumination," Appl. Opt. 37, 2563-2568 (1998). [CrossRef]
  11. T. Tanaka and S. Yamamoto, "Comparison of aberration between axicon and lens," Opt. Commun. 184, 113-118 (2000). [CrossRef]
  12. A. Thaning, Z. Jaroszewicz, and A. T. Friberg, "Diffractive axicons in oblique illumination: analysis and experiments and comparaison with elliptical axicons," Appl. Opt. 42, 9-17 (2003). [CrossRef] [PubMed]
  13. A. Burvall, K. Kolacz, A. V. Goncharov, Z. Jaroszewicz, and C. Dainty, "Lens axicons in oblique illumination," Appl. Opt. 46, 312-318 (2007). [CrossRef] [PubMed]
  14. N. Guérineau and J. Primot, "Nondiffracting array generation using an N-wave interferometer," J. Opt. Soc. Am. 16, 293-298 (1999). [CrossRef]
  15. N. Guérineau, B. Harchaoui, J. Primot, and K. Heggarty, "Generation of achromatic and propagation-invariant spot arrays by use of continuously self-imaging gratings," Opt. Lett. 26, 411-413 (2001). [CrossRef]
  16. J. Primot and N. Guérineau, "Extended Hartmann test based on the pseudoguiding property of a Hartmann mask completed by a phase chessboard," Appl. Opt. 39, 5715-5720 (2000). [CrossRef]
  17. N. Guérineau, S. Rommeluere, E. Di Mambro, I. Ribet, and J. Primot, "New techniques of characterization," C. R. Phys. 4, 1175-1185 (2003). [CrossRef]
  18. R. F. Edgar, "The Fresnel diffraction images of periodic structures," Opt. Acta 16, 281-287 (1969). [CrossRef]
  19. M. Testorf, J. Jahns, N. A. Khilo, and A. M. Goncharenko, "Talbot effect for oblique angle of light propagation," Opt. Commun. 129, 167-172 (1996). [CrossRef]
  20. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968), p. 101.
  21. M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, 1989), Chap. V, p. 203.
  22. M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, 1989), Chap. IX, p. 468.
  23. E. di Mambro, R. Haïdar, N. Guérineau, and J. Primot, "Sharpness limitations in the projection of thin lines by use of the Talbot experiment," J. Opt. Soc. Am. A 21, 2276-2282 (2004). [CrossRef]

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