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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. 18, Iss. 7 — Jul. 1, 2001
  • pp: 1487–1494

Focusing diffractive cylindrical mirrors: rigorous evaluation of various design methods

Jon M. Bendickson, Elias N. Glytsis, and Thomas K. Gaylord  »View Author Affiliations


JOSA A, Vol. 18, Issue 7, pp. 1487-1494 (2001)
http://dx.doi.org/10.1364/JOSAA.18.001487


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Abstract

The performance characteristics of focusing diffractive mirrors designed with various methods are evaluated by using the rigorous boundary element method. Quantitative results are presented for (1) conventional-zero-thickness mirror designs, (2) alternative-zero-thickness designs that incorporate an off-axis correction factor and (3) finite-thickness designs. For TM polarization, the mirrors designed by using the alternative-zero-thickness method perform considerably worse than those designed by using the conventional-zero-thickness method, which contradicts predictions made in an earlier paper [J. Opt. Soc. Am. A 17, 1132 (2000)].

© 2001 Optical Society of America

OCIS Codes
(050.1380) Diffraction and gratings : Binary optics
(050.1970) Diffraction and gratings : Diffractive optics
(220.2740) Optical design and fabrication : Geometric optical design
(220.3620) Optical design and fabrication : Lens system design
(260.2110) Physical optics : Electromagnetic optics

History
Original Manuscript: September 6, 2000
Revised Manuscript: January 2, 2001
Manuscript Accepted: January 2, 2001
Published: July 1, 2001

Citation
Jon M. Bendickson, Elias N. Glytsis, and Thomas K. Gaylord, "Focusing diffractive cylindrical mirrors: rigorous evaluation of various design methods," J. Opt. Soc. Am. A 18, 1487-1494 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-7-1487


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References

  1. Feature issue on diffractive optics applications, Appl. Opt. 34, 2399–2559 (1995).
  2. J. M. Bendickson, E. M. Glytsis, T. K. Gaylord, “Metallic surface-relief on-axis and off-axis focusing diffractive cylindrical mirrors,” J. Opt. Soc. Am. A 16, 113–130 (1999). [CrossRef]
  3. M. Testorf, “On the zero-thickness model of diffractive optical elements,” J. Opt. Soc. Am. A 17, 1132–1133 (2000). [CrossRef]
  4. V. Moreno, J. F. Román, J. R. Salgueiro, “High efficiency diffractive lenses: deduction of kinoform profile,” Am. J. Phys. 65, 556–562 (1997). [CrossRef]
  5. D. A. Buralli, G. M. Morris, J. R. Rogers, “Optical performance of holographic kinoforms,” Appl. Opt. 28, 976–983 (1989). [CrossRef] [PubMed]
  6. K. Hirayama, E. N. Glytsis, T. K. Gaylord, “Rigorous electromagnetic analysis of diffractive cylindrical lenses,” J. Opt. Soc. Am. A 13, 2219–2231 (1996). [CrossRef]
  7. K. Hirayama, E. N. Glytsis, T. K. Gaylord, “Rigorous electromagnetic analysis of diffraction by finite-number-of-periods gratings,” J. Opt. Soc. Am. A 14, 907–917 (1997). [CrossRef]
  8. E. N. Glytsis, M. E. Harrigan, K. Hirayama, T. K. Gaylord, “Collimating cylindrical diffractive lenses: rigorous electromagnetic analysis and scalar approximation,” Appl. Opt. 37, 34–43 (1998). [CrossRef]
  9. J. M. Bendickson, E. N. Glytsis, T. K. Gaylord, “Scalar integral diffraction methods: unification, accuracy, and comparison with a rigorous boundary element method with application to diffractive cylindrical lenses,” J. Opt. Soc. Am. A 15, 1822–1837 (1998). [CrossRef]
  10. D. W. Prather, M. S. Mirotznik, J. N. Mait, “Boundary integral methods applied to the analysis of diffractive optical elements,” J. Opt. Soc. Am. A 14, 34–43 (1997). [CrossRef]
  11. G. Hass, L. Hadley, “Optical properties of metals,” in American Institute of Physics Handbook, D. E. Gray, ed. (McGraw-Hill, New York, 1972), pp. 6–119.

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