Aperiodic volume optics

Nature Photonics

Volumn 4, Issue 3, 2010, Pages 188-193

  Gerke, Tim D ^a   Piestun, Rafael ^a  

^a University of Colorado at Boulder   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APERIODIC STRUCTURE; COHERENCE FUNCTION; HIGHER-DIMENSIONAL; MATERIAL STRUCTURE; PHYSICAL PHENOMENA; SPECTRAL INFORMATION; TEMPORAL FUNCTIONS; VOLUME HOLOGRAPHY;

OPTICS; PHOTONIC CRYSTALS; SCATTERING; THREE DIMENSIONAL;

DESIGN;

EID: 77950517611     PISSN: 17494885     EISSN: 17494893     Source Type: Journal    
DOI: 10.1038/nphoton.2009.290     Document Type: Article

References (40)

1. Yablonovitch, E. Inhibited spontaneous emission in solid-state physics and electronics. Phys. Rev. Lett. 58, 2059-2062 (1987).
2. John, S. Strong localization of photons in certain disordered dielectric superlattices. Phys. Rev. Lett. 58, 2486-2489 (1987).
3. Pendry, J. B., Schurig, D. & Smith, D. R. Controlling electromagnetic fields. Science 312, 1780-1782 (2006). (Pubitemid 43962892)
4. Leonhardt, U. Optical conformal mapping. Science 312, 1777-1780 (2006) (Pubitemid 43962891)
5. Li, J. & Pendry, J. B. Hiding under the carpet: a new strategy for cloaking. Phys. Rev. Lett. 1001, 203901 (2008).
6. Reicherter, M., Haist, T., Wagemann, E. U. & Tiziani, H. J. Optical particle trapping with computer-generated holograms written on a liquid-crystal display. Opt. Lett. 24, 294-296 (1999).
7. Grier, D. G. A revolution in optical manipulation. Nature 424, 810-816 (2003).
8. Lohmann, A. W. & Paris, D. P. Binary Fraunhofer holograms, generated by computer. Appl. Opt. 6, 1739-1748 (1967).
9. Herzig, H. P. Micro-Optics: Elements, Systems, and Applications (Taylor and Francis, 1997).
10. Jesacher, A., Fürhapter, S., Bernet, S. & Ritsch-Marte, M. Shadow effects in spiral phase contrast microscopy. Phys. Rev. Lett. 94, 233902 (2005).
11. Pavani, S. R. P. et al. Three-dimensional, single-molecule fluorescence imaging beyond the diffraction limit by using a double-helix point spread function. Proc. Natl. Acad. Sci. USA 106, 2995-2999 (2009).
12. Levy, U., Kim, H.-C., Tsai, C.-H. & Fainman, Y. Near-infrared demonstration of computer generated holograms implemented by using subwavelength gratings with space-variant orientation. Opt. Lett. 30, 2089-2091 (2005). (Pubitemid 41251404)
13. Tsai, C.-H., Levy, U., Pang, L. & Fainman, Y. Form-birefringent space-variant inhomogeneous medium element for shaping point-spread functions. Appl. Opt 45, 1777-1784 (2006).
14. Bartelt, H. Computer-generated holographic component with optimum light efficiency. Appl. Opt. 23, 1499-1502 (1984). (Pubitemid 14586376)
15. Nordin, G. P., Johnson, R. V. & Tanguay Jr, A. R. Diffraction properties of stratified volume holographic optical elements. J. Opt. Soc. Am. A 9, 2206-2217 (1992).
16. Borgsmüller, S., Noehte, S., Dietrich, C., Kresse, T. & Männer, R. Computergenerated stratified diffractive optical elements. Appl. Opt. 42, 5274-5283 (2003).
17. Cai, W., Reber, T. J. & Piestun, R. Computer-generated volume holograms fabricated by femtosecond laser micromachining. Opt. Lett. 31, 1836-1838 (2006). (Pubitemid 44048920)
18. Gerke, T. D. & Piestun, R. Aperiodic computer-generated volume holograms improve the performance of amplitude volume gratings. Opt. Express 15, 14954-14960 (2007). (Pubitemid 350127649)
19. Miller, D. A. B. Communicating with waves between volumes: evaluating orthogonal spatial channels and limits on coupling strengths. Appl. Opt. 39, 1681-1699 (2000).
20. Piestun, R. & Miller, D. A. B. Electromagnetic degrees of freedom of an optical system. J. Opt. Soc. Am. A 17, 892-902 (2000).
21. Piestun, R. & de Sterke, C. M. Fundamental limit for two-dimensional passive devices. Opt. Lett. 34, 779-781 (2009).
22. Brady, D., Chen, A. G. -S. & Rodriguez, G. Volume holographic pulse shaping. Opt. Lett. 17, 610-612 (1992).
23. Barbastathis, G. & Brady, D. J. Multidimensional tomographic imaging using volume holography. Proc. IEEE 87, 2098-2120 (1999). (Pubitemid 30531708)
24. Barbastathis, G., Balberg, M. & Brady, D. J. Confocal microscopy with a volume holographic filter. Opt. Lett. 24, 811-813 (1999). (Pubitemid 129306574)
25. Brady, D. & Psaltis, D. Control of volume holograms. J. Opt. Soc. Am. A 9, 1167-1182 (1992).
26. Glezer, E. N. et al. Three-dimensional optical storage inside transparent materials. Opt. Lett. 21, 2023-2025 (1996). (Pubitemid 126575010)
27. Kawata, S., Sun, H. B., Tanaka, T. & Takada, K. Finer features for functional microdevices. Nature 412, 697-698 (2001). (Pubitemid 32771982)
28. Deubel, M. et al. Direct laser writing of three-dimensional photonic-crystal templates for telecommunications. Nature Mater. 3, 444-447 (2004).
29. Born, M. & Wolf, E. Principles of Optics 7th edn (Cambridge Univ. Press, 1999).
30. Piestun, R. & Shamir, J. Control of wave-front propagation with diffractive elements. Opt. Lett. 19, 771-773 (1994).
31. Piestun, R., Spektor, B. & Shamir, J. Wave fields in three dimensions: analysis and synthesis. J. Opt. Soc. Am. A 13, 1837-1848 (1996). (Pubitemid 126548541)
32. Piestun, R. & Shamir, J. Synthesis of three-dimensional light fields and applications. Proc. IEEE 90, 222-244 (2002). (Pubitemid 43779304)
33. Stark, H. & Yang, Y. Vector Space Projections: A Numerical Approach to Signal and Image Processing, Neural Nets, and Optics (Wiley, 1998).
34. Gerchberg, R.W. & Saxton,W. O. A practical algorithm for the determination of phase from image and diffraction plane pictures. Optik 35, 237-246 (1972).
35. Fienup, J. R. Phase retrieval algorithms: a comparison. Appl. Opt. 21, 2758-2769 (1982).
36. Gerchberg, R. Super-resolution through error energy reduction. Optica Acta 21, 709-720 (1974).
37. Papoulis, A. A new algorithm in spectral analysis and band-limited extrapolation. IEEE Trans. Circ. Syst. 22, 735-742 (1975).
38. Wyrowski, F. & Bryngdahl, O. Iterative Fourier-transform algorithm applied to computer holography. J. Opt. Soc. Am. A 5, 1058-1065 (1988).
39. Bryngdahl, O. & Wyrowski, F. Digital holography - computer-generated holograms. Prog. Opt. 28, 1-86 (1990).
40. Brady, D. J. Optical Imaging and Spectroscopy (Wiley, 2009).