Efficient optimization of diffractive optical elements based on rigorous diffraction models

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 18, Issue 11, 2001, Pages 2908-2914

  Testorf, Markus E ^a   Fiddy, Michael A ^a  

^a University of Massachusetts   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DIFFRACTION; FINITE DIFFERENCE METHOD; OPTIMIZATION; TIME DOMAIN ANALYSIS;

DIFFRACTION MODELS;

OPTICAL DEVICES;

EID: 0010916660     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.18.002908     Document Type: Article

References (20)

1. H.-P. Herzig, “Design of diffractive and refractive microoptics,” in Micro-Optics, H.-P. Herzig, ed. (Taylor & Francis, London, 1997), pp. 1-29.
2. J. N. Mait, “Understanding diffractive optic design in the scalar domain,” J. Opt. Soc. Am. A 12, 2145-2158 (1995).
3. W. Singer and K.-H. Brenner, “Transition of the scalar field at a surface in the generalized Kirchhoff diffraction theory,” J. Opt. Soc. Am. A 12, 1913-1919 (1995).
4. M. E. Testorf and M. A. Fiddy, “Simulation of light propagation in planar-integrated free-space optics,” Opt. Commun. 176, 365-372 (2000).
5. J. Turunen, “Diffraction theory of microrelief gratings,” in Micro-Optics, H.-P. Herzig, ed. (Taylor & Francis, London, 1997), pp. 31-52 and references therein.
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. E. Noponen, J. Turunen, and F. Wyrowski, “Synthesis of paraxial-domain diffractive optical elements by rigorous electromagnetic theory,” J. Opt. Soc. Am. A 12, 1128-1133 (1995).
8. R. Brauer and O. Bryngdahl, “Design strategy of diffractive elements with prescribed diffraction angles in non-paraxial region,” Opt. Commun. 115, 411-416 (1995).
9. J. Jiang and G. P. Nordin, “A rigorous unidirectional method for designing finite aperture diffractive optical elements,” in Diffractive Optics and Micro-Optics, 2000 OSA Technical Digest Series (Optical Society of America, Washington D.C., 2000), pp. 13-15.
10. D. W. Prather and S. Shi, “Hybrid scalar-vector method for the analysis of electrically large finite aperiodic diffractive optical elements,” in Diffractive and Holographic Technologies, Systems, and Spatial Light Modulators IV, I. Cindrich, S. H. Lee, and R. L. Sutherland, Proc. SPIE 3633, 2-13 (1999).
11. F. C. Lin and M. A. Fiddy, “Image estimation from scattered filed data,” Int. J. Imaging Syst. Technol. 2, 76-95 (1990).
12. V. Arrizon, M. Testorf, S. Sinzinger, and J. Jahns, “Iterative optimization of phase-only elements based on a lenslet array,” J. Opt. Soc. Am. A 17, 2157-2164 (2000).
13. J. R. Fienup, “Iterative method applied to image recon-struction and to computer-generated holograms,” Opt. Commun. 19, 297-305 (1980).
14. V. Soifer, V. Kotlyar, and L. Doskolovich, Iterative Methods for Diffractive Optical Elements Computation (Taylor & Francis, London, 1997).
15. N. Yoshikawa and T. Yatagai, “Phase optimization of a kinoform by simulated annealing,” Appl. Opt. 33, 863-868 (1994).
16. G. Zhou, Y. Chen, Z. Wang, and H. Song, “Genetic local search algorithm for optimization design of diffractive optical elements,” Appl. Opt. 38, 4281-4290 (1999).
17. A. Taflove and S. C. Hagness, Computational Electrodynamics, the Finite Difference Time-Domain Method, 2nd ed. (Artech House, Boston, Mass. 2000).
18. J. B. Judkins and R. W. Ziolkowski, “Finite-difference timedomain modeling of nonperfectly conducting metallic thin-film gratings,” J. Opt. Soc. Am. A 12, 1974-1983 (1995).
19. M. Testorf, “On the zero-thickness model of diffractive optical elements,” J. Opt. Soc. Am. A 17, 1132-1133 (2000).
20. J. N. Mait, D. W. Prather, and M. S. Mirotznik, “Design of binary subwavelength diffractive lenses by use of zeroorder effective-medium theory,” J. Opt. Soc. Am. A 16, 1157-1167 (1999).