A hybrid Gerchberg–Saxton-like algorithm for DOE and CGH calculation

Optics and Lasers in Engineering

Volumn 89, Issue , 2016, Pages 109-115

  Wang, Haichao ^a,b   Yue, Weirui ^a,b   Song, Qiang ^a,b   Liu, Jingdan ^a,c   Situ, Guohai ^a  

^a SHANGHAI INSTITUTE OF OPTICS AND FINE MECHANICS   (China)

^b UNIVERSITY OF CHINESE ACADEMY OF SCIENCES   (China)

^c BEIJING INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Diffractive optical element; Gerchberg Saxton algorithm; Holographic display; Laser beam shaping; Phase retrieval

Indexed keywords

COMPUTER GENERATED HOLOGRAPHY; DENSITY (OPTICAL); DIFFRACTIVE OPTICAL ELEMENTS; ELECTRON HOLOGRAPHY; HOLOGRAMS; HOLOGRAPHIC DISPLAYS; HOLOGRAPHY; LASER BEAMS; PHASE SHIFTERS;

COMPUTER GENERATED HOLOGRAMS; GERCHBERG-SAXTON ALGORITHM; LASER BEAM SHAPING; LITHOGRAPHIC TOOLS; OFF AXIS ILLUMINATION; OPTICAL EXPERIMENTS; PHASE RETRIEVAL; WEIGHTING TECHNIQUES;

ALGORITHMS;

EID: 84964669258     PISSN: 01438166     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.optlaseng.2016.04.005     Document Type: Article

References (26)

1. [1] Gerchberg, R.W., Saxton, W.O., A practical algorithm for the determination of phase from image and diffraction plane pictures. Optik 35 (1972), 237–246.
2. [2] Zheng, G., Mühlenbernd, H., Kenney, M., Li, G., Zentgraf, T., Zhang, S., Metasurface holograms reaching 80% efficiency. Nat Nanotechnol 10 (2015), 308–312.
3. [3] Huang, L., Chen, X., Mühlenbernd, H., Zhang, H., Chen, S., Bai, B., et al. Three-dimensional optical holography using a plasmonic metasurface. Nat Commun, 4, 2013, 2808.
4. [4] Buckley, E., Hologrphic laser projection. J Disp Technol 7 (2011), 135–140.
5. [5] Wyrowski, F., Bryngdahl, O., Iterative Fourier-transform algorithm applied to computer holography. J Opt Soc Am A 5 (1988), 1058–1065.
6. [6] Liu, J., Taghizadeh, M., Iterative algorithm for the design of diffractive phase elements for laser beam shaping. Opt Lett 27 (2002), 1463–1465 Ge.
7. [7] Levi, A., Stark, H., Image restoration by the method of generalized projections with application to restoration from magnitude. J Opt Soc Am A 1 (1984), 932–943.
8. [8] Biggs, D.S., Andrews, M., Acceleration of iterative image restoration algorithms. Appl Opt 36 (1997), 1766–1775.
9. [9] Shechtman, Y., Eldar, Y.C., Cohen, O., Chapman, H.N., Miao, J., Segev, M., Phase retrieval with application to optical imaging: a contemporary overview. IEEE Signal Process Mag 32 (2015), 87–109.
10. [10] Miao, J., Ishikawa, T., Robinson, I.K., Murnane, M.M., Beyond crystallography: diffractive imaging using coherent X-ray light sources. Science 348 (2015), 530–535.
11. [11] Situ, G., Zhang, J., A lensless optical security system based on computer-generated phase only masks. Opt Commun 232 (2004), 115–122.
12. [12] Chen, W., Situ, G., Chen, X., High-flexibility optical encryption via aperture movement. Opt Express 21 (2013), 24680–24691.
13. [13] Shi, Y., Situ, G., Zhang, J., Multiple-image hiding in the Fresnel domain. Opt Lett 32 (2007), 1914–1916.
14. [14] Zheng, G., Horstmeyer, R., Yang, C., Wide-field, high-resolution Fourier ptychographic microscopy. Nat Photon 7 (2013), 739–746.
15. [15] Wang, W., Hu, X., Liu, J., Zhang, S., Suo, J., Situ, G., Gerchberg–Saxton-like ghost imaging. Opt Express 23 (2015), 28416–28422.
16. [16] Fienup, J.R., Phase retrieval algorithms: a comparison. Appl Opt 21 (1982), 2758–2769.
17. [17] Zalevsky, Z., Dorsch, R.G., Gerchberg–Saxton algorithm applied in the fractional Fourier or the fresnel domain. Opt Lett 21 (1996), 842–844.
18. [18] Guo, C., Liu, S., Sheridan, J.T., Iterative phase retrieval algorithms. I: optimization. Appl Opt 54 (2015), 4698–4708.
19. [19] Fienup, J.R., Wackerman, C.C., Phase-retrieval stagnation problems and solutions. J Opt Soc Am A 3 (1986), 1897–1907.
20. [20] Takajo, H., Takahashi, T., Kawanami, H., Ueda, R., Numerical investigation of the iterative phase-retrieval stagnation problem: territories of convergence objects and holes in their boundaries. J Opt Soc Am A 14 (1997), 3175–3187.
21. [21] Yang, G., Dong, B., Gu, B., Zhuang, J., Ersoy, O.K., Gerchberg–Saxton and Yang–Gu algorithms for phase retrieval in a nonunitary transform system: a comparison. Appl Opt 33 (1994), 209–218.
22. [22] Zhang, J., Zhang, Y., Lv, J., Liang, W., Situ, G., The design of diffractive optical elements with weighted serial iterative algorithm. J Optoelectron 13 (2002), 1207–1210, 10.16136/j/joel.2002.12.001 [in Chinese].
23. [23] Kuzmenko, A.V., Weighting iterative Fourier transform algorithm. Opt Lett 33 (2008), 1147–1149.
24. [24] Bauschke, H.H., Combettes, P.L., Luke, D.R., Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization. J Opt Soc Am A 19 (2002), 1334–1345.
25. [25] Levinson, H.J., Principles of lithography. 2005, SPIE, Bellingham, Washington, USA.
26. [26] Zhang, F., Zhu, J., Yue, W., Wang, J., Song, Q., Situ, G., et al. An approach to increase efficiency of DOE based pupil shaping technique for off-axis illumination in optical lithography. Opt Express 23 (2015), 4482–4493.