Collimating cylindrical diffractive lenses: Rigorous electromagnetic analysis and scalar approximation

Applied Optics

Volumn 37, Issue 1, 1998, Pages 34-43

  Glytsis, Elias N ^a   Harrigan, Michael E ^b   Hirayama, Koichi ^c   Gaylord, Thomas K ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b EASTMAN KODAK COMPANY   (United States)

^c KITAMI INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002131132     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.37.000034     Document Type: Article

References (27)

1. H. Nishihara and T. Suhara, “Micro Fresnel lenses, ” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1987), Vol. 24, pp. 1-40.
2. J. R. Leger, M. G. Moharam, and T. K. Gaylord, eds., Feature Issue on Diffractive Optics Applications, Appl. Opt. 34, 2399-2559 (1995).
3. H. M. Ozaktas, H. Urey, and A. W. Lohmann, “Scaling of diffractive and refractive lenses for optical computing and interconnections, ” Appl. Opt. 33, 3782-3789 (1994).
4. K. S. Urquhart, P. Marchand, Y. Fainman, and S. H. Lee, “Diffractive optics applied to free-space optical interconnects, ” Appl. Opt. 33, 3670-3682 (1994).
5. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996).
6. D. A. Pommet, M. G. Moharam, and E. B. Grann, “Limits of scalar diffraction theory for diffractive phase elements, ” J. Opt. Soc. Am. A 11, 1827-1834 (1994).
7. J. N. Mait, “Understanding diffractive optic design in the scalar domain, ” J. Opt. Soc. Am. A 12, 2145-2158 (1995).
8. M. G. Moharam, T. K. Gaylord, and J. R. Leger, eds., Feature Issue on Diffractive Optics Modeling, J. Opt. Soc. Am. A 12, 1026-1169 (1995).
9. E. Noponen, J. Turunen, and A. Vasara, “Electromagnetic theory and design of diffractive-lens arrays, ” J. Opt. Soc. Am. A 10, 434-443 (1993).
10. F. Montiel and M. Neviere, “Electromagnetic theory of Bragg-Fresnel linear zone plates, ” J. Opt. Soc. Am. A 12, 2672-2678 (1995).
11. A. Wang and A. Prata, Jr., “Lenslet analysis by rigorous vector diffraction theory, ” J. Opt. Soc. Am. A 12, 1161-1169 (1995).
12. J. Popelek and F. Urban, “The vector analysis of the real diffractive optical elements, ” in Nonconventional Optical Imaging Elements, J. Nowak and M. Zajac, eds., Proc. SPIE 2169, 89-99 (1994).
13. B. Lichtenberg and N. C. Gallagher, “Numerical modeling of diffractive devices using the finite element method, ” Opt. Eng. 33, 3518-3526 (1994).
14. D. W. Prather, M. S. Mirotznik, and J. N. Mait, “Boundary integral methods applied to the analysis of diffractive optical elements, ” J. Opt. Soc. Am. A 12, 34-43 (1997).
15. M. S. Mirotznik, D. W. Prather, and J. N. Mait, “A hybrid finite element-boundary element method for the analysis of diffractive elements, ” J. Mod. Opt. 43, 1309-1321 (1996).
16. K. Hirayama, E. N. Glytsis, T. K. Gaylord, and D. W. Wilson, “Rigorous electromagnetic analysis of diffractive cylindrical lenses, ” J. Opt. Soc. Am. A 13, 2219-2231 (1996).
17. P. K. Banerjee and R. Butterfield, eds., Developments in Boundary Element Methods (Applied Science, London, 1979).
18. M. Koshiba, Optical Waveguide Theory by the Finite Element Method (KTK Scientific, Tokyo, 1992), pp. 43-47.
19. T. Kojima and 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. Pt. 2 74, 11-20 (1991).
20. K. Hirayama, E. N. Glytsis, and T. K. Gaylord, “Rigorous electromagnetic analysis of diffraction by finite-number-of-periods gratings, ” J. Opt. Soc. Am. A 14, 907-917 (1997).
21. A. Ishimaru, Electromagnetic Wave Propagation, Radiation, and Scattering (Prentice-Hall, Englewood Cliffs, N.J., 1991), Chap. 6.
22. S. Solimeno, B. Crosignani, and A. Di Porto, Guiding, Diffraction, and Confinement of Optical Radiation (Academic, Orlando, Fla., 1986), Chap. 4.
23. A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), Chap. 20.
24. D. A. Buralli, G. M. Morris, and J. R. Rogers, “Optical performance of holographic kinoforms, ” Appl. Opt. 28, 976-983 (1989).
25. M. Rossi, R. E. Kunz, and H. P. Herzig, “Refractive and diffractive properties of planar micro-optical elements, ” Appl. Opt. 34, 5996-6007 (1995).
26. R. Kingslake, Optical System Design (Academic, Orlando, Fla., 1983), p. 124.
27. M. Schmitz and O. Bryngdahl, “Rigorous concept forthe design of diffractive microlenses with high numerical apertures, ” J. Opt. Soc. Am. A 14, 901-906 (1997).