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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. 16, Iss. 1 — Jan. 1, 1999
  • pp: 113–130

Metallic surface-relief on-axis and off-axis focusing diffractive cylindrical mirrors

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


JOSA A, Vol. 16, Issue 1, pp. 113-130 (1999)
http://dx.doi.org/10.1364/JOSAA.16.000113


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Abstract

Metallic surface-relief diffractive cylindrical mirrors are designed for on-axis and off-axis focusing and incidence configurations. These diffractive structures are analyzed by both rigorous and scalar integral methods. Two design methods, based on initial assumptions of zero-thickness and finite-thickness structures, are presented for determining the zone-boundary locations and the surface-relief mirror profiles for the general case of an off-axis incident plane wave and off-axis focusing. With the use of these methods, continuous diffractive, multilevel diffractive, and continuous nondiffractive mirrors were designed. Rigorous analysis is performed for both TE and TM polarizations by using an open-region formulation of the boundary element method (BEM) suitable for regions of complex refractive index such as finite-conductivity metals. Three scalar integral methods corresponding to Dirichlet, Neumann, and Kirchhoff boundary conditions are also used to analyze the diffractive mirrors. The diffracted fields from both the rigorous BEM and the scalar methods of analysis are used to calculate a number of performance metrics including diffraction efficiency, sidelobe power, total reflected power, and focal spot size. The performance of the mirrors is evaluated, and the accuracy of the various scalar methods is determined.

© 1999 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(050.1950) Diffraction and gratings : Diffraction gratings

History
Original Manuscript: June 22, 1998
Revised Manuscript: September 4, 1998
Manuscript Accepted: August 31, 1998
Published: January 1, 1999

Citation
Jon M. Bendickson, Elias N. Glytsis, and Thomas K. Gaylord, "Metallic surface-relief on-axis and off-axis focusing diffractive cylindrical mirrors," J. Opt. Soc. Am. A 16, 113-130 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-1-113


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References

  1. Feature issue on diffractive optics applications, Appl. Opt. 34, 2399–2559 (1995).
  2. V. P. Koronkevich, I. G. Pal’chikova, “Modern zone plates,” Avtometriya (No. 1), 85–100 (1992).
  3. V. Moreno, J. F. Román, J. R. Salgueiro, “High efficiency diffractive lenses: deduction of kinoform profile,” Am. J. Phys. 65, 556–562 (1997). [CrossRef]
  4. Y. Hori, H. Asakura, F. Sogawa, M. Kato, H. Serizawa, “External-cavity semiconductor laser with focusing grating mirror,” IEEE J. Quantum Electron. 26, 1747–1755 (1990). [CrossRef]
  5. J. W. Goodman, F. J. Leonberger, S.-Y. Kung, R. A. Athale, “Optical interconnections for VLSI systems,” Proc. IEEE 72, 850–866 (1984). [CrossRef]
  6. W. H. Wu, L. A. Bergman, A. R. Johnston, C. C. Guest, S. C. Esener, P. K. L. Yu, M. R. Feldman, S. H. Lee, “Implementation of optical interconnections for VLSI,” IEEE Trans. Electron Devices ED-34, 706–714 (1987). [CrossRef]
  7. J. Jahns, A. Huang, “Planar integration of free-space optical components,” Appl. Opt. 28, 1602–1605 (1989). [CrossRef] [PubMed]
  8. Y. H. Lee, J. L. Jewell, J. Jahns, “Microlasers for photonic switching and interconnection,” in Optics in Complex Systems, F. Lanzl, H. Preuss, G. Weigelt, eds., Proc. SPIE1319, 683–684 (1990). [CrossRef]
  9. A. K. Ghosh, “Compact joint transform correlators in planar integrated packages,” in Optical Information Processing Systems and Architectures III, B. Javidi, ed., Proc. SPIE1564, 231–235 (1991). [CrossRef]
  10. J. Jahns, “Integrated microoptics for computing and switching applications,” in Miniature and Micro-Optics: Fabrication and System Applications, C. Roychoudhuri, W. B. Veldkamp, eds., Proc. SPIE1544, 246–262 (1991). [CrossRef]
  11. B. Acklin, J. Jahns, “Packaging considerations for planar optical interconnection systems,” Appl. Opt. 33, 1391–1397 (1994). [CrossRef] [PubMed]
  12. M. J. O’Callaghan, S. H. Perlmutter, R. TeKolste, “Compact optical processing systems using off-axis diffractive optics and FLC-VLSI spatial light modulators,” in Materials, Devices, and Systems for Optoelectronic Processing, J. A. Neff, B. Javidi, eds., Proc. SPIE2848, 72–80 (1996). [CrossRef]
  13. S. H. Song, E-H. Lee, S. T. Park, P. S. Kim, “Optical imaging and transforming by using planar integrated optics,” in Optics for Science and New Technology, J.-S. Chang, J. Lee, S. Lee, C. Nam, eds., Proc. SPIE2778, 25–30 (1996).
  14. G. J. Swanson, W. B. Veldkamp, “Binary lenses for use at 10.6 micrometers,” Opt. Eng. (Bellingham) 24, 791–795 (1985). [CrossRef]
  15. G. A. Lenkova, “Deflecting focusing kinoform,” Avtometriya (No. 6), 7–12 (1985).
  16. A. Dubik, M. Zajonc, E. Novak, “Focusing kinoform mirror,” Avtometriya (No. 2), 85–88 (1990).
  17. H. Haidner, S. Schröter, H. Bartelt, “The optimization of diffractive binary mirrors with low focal length: diameter ratios,” J. Phys. D 30, 1314–1325 (1997). [CrossRef]
  18. E. Hasman, N. Davidson, Y. Danziger, A. A. Friesem, “Diffractive optics: design, realization, and applications,” Fiber Integr. Opt. 16, 1–25 (1997). [CrossRef]
  19. Y-L. Kok, “Design of a binary chirped grating for near-field operation,” Opt. Eng. (Bellingham) 33, 3604–3609 (1994). [CrossRef]
  20. P. Kipfer, M. Collischon, H. Haidner, J. Schwider, “Diffractive surface relief elements for the use in the infrared: waveguide structures as reflection holograms,” in Non-conventional Optical Imaging Elements, J. Nowak, M. Zajac, eds., Proc. SPIE2169, 100–107 (1994). [CrossRef]
  21. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, San Francisco, 1968), Chaps. 3 and 4.
  22. E. Yamashita, Analysis Methods for Electromagnetic Wave Problems (Artech House, Boston, 1990), Chap. 2.
  23. M. Koshiba, Optical Waveguide Theory by the Finite Element Method (KTK Scientific, Tokyo, 1992), pp. 43–47.
  24. K. Miyata, I. Fukai, “Radiation pattern analysis of an offset cylindrical reflector antenna by boundary element method,” Trans. IEICE E70, 761–767 (1987).
  25. Y. Funabiki, T. Kojima, “Analysis of light-beam scattering and the sum and differential signal output by arbitrarily shaped pits and bosses,” Electron. Commun. Jpn., Part 2: Electron. 72, 37–46 (1989). [CrossRef]
  26. K. Manabe, Y. Miyazaki, T. Tanaka, “An analysis of scattered near field and induced current of a beam wave by pits on optical disk using boundary element method,” Electron. Commun. Jpn., Part 2: Electron. 72, 1–8 (1989). [CrossRef]
  27. T. Kojima, J. Ido, “Boundary-element method analysis of light-beam scattering and the sum and differential signal output by DRAW-type optical disk models,” Electron. Commun. Jpn., Part 2: Electron. 74, 11–20 (1991). [CrossRef]
  28. D. W. Prather, M. S. Mirotznik, J. N. Mait, “Boundary element method for vector modeling diffractive optical elements,” in Diffractive and Holographic Optics Technology II, I. Cindrich, S. H. Lee, eds., Proc. SPIE2404, 28–39 (1995). [CrossRef]
  29. 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]
  30. 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]
  31. Y. Nakata, M. Koshiba, “Boundary-element analysis of plane-wave diffraction from groove-type dielectric and metallic gratings,” J. Opt. Soc. Am. A 7, 1494–1502 (1990). [CrossRef]
  32. 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]
  33. 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]
  34. 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]
  35. J. B. Judkins, R. W. Ziolkowski, “Finite-difference time-domain modeling of nonperfectly conducting metallic thin-film gratings,” J. Opt. Soc. Am. A 12, 1974–1983 (1995). [CrossRef]
  36. J. A. Jordan, P. M. Hirsch, L. B. Lesem, D. L. Van Rooy, “Kinoform lenses,” Appl. Opt. 9, 1883–1887 (1970). [PubMed]
  37. E. Noponen, J. Turunen, A. Vasara, “Electromagnetic theory and design of diffractive-lens arrays,” J. Opt. Soc. Am. A 10, 434–443 (1993). [CrossRef]
  38. D. A. Buralli, G. M. Morris, J. R. Rogers, “Optical performance of holographic kinoforms,” Appl. Opt. 28, 976–983 (1989). [CrossRef] [PubMed]
  39. M. Abramowitz, I. E. Stegun, eds., Handbook of Mathematical Functions, Applied Mathematics Series 55 (National Bureau of Standards, Washington, D.C., 1964), p. 364.
  40. J. J. Stamnes, Waves in Focal Regions (Hilger, Boston, 1986), Chaps. 4, 5.
  41. A. Ishimaru, Electromagnetic Wave Propagation, Radiation, and Scattering (Prentice-Hall, Englewood Cliffs, N.J., 1991), Chap. 6.
  42. S. Solimeno, B. Crosignani, P. Di Porto, Guiding, Diffraction, and Confinement of Optical Radiation (Academic, Orlando, Fla., 1986), Chap. 4.
  43. G. S. Smith, An Introduction to Classical Electromagnetic Radiation (Cambridge U. Press, Port Chester, N.Y., 1997), Chap. 3.
  44. 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.
  45. R. Petit, ed., Electromagnetic Theory of Gratings (Springer-Verlag, New York, 1980), Chap. 6.

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