Computation of diffracted fields for the case of high numerical aperture using the angular spectrum method

Applied Optics

Volumn 51, Issue 29, 2012, Pages 7080-7088

  Kozacki, Tomasz ^a   Falaggis, Konstantinos ^a   Kujawinska, Malgorzata ^a  

^a WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL EFFICIENCY; SPECTRUM ANALYSIS;

ANGULAR SPECTRA; ANGULAR SPECTRUM METHOD; COMPUTATIONAL EFFORT; DIFFRACTED FIELD; FIELD COMPUTATION; HIGH NUMERICAL APERTURES; LARGE AMOUNTS; WIGNER DISTRIBUTIONS;

NUMERICAL METHODS;

EID: 84867389309     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.51.007080     Document Type: Article

References (27)

1. K. Matsushima and T. Shimobaba, "Band-limited angular spectrum method for numerical simulation of free-space propagation in far and near fields," Opt. Express 17, 19662-19673 (2009).
2. F. Shen and A. Wang, "Fast-Fourier-transform based numerical integration method for the Rayleigh-Sommerfeld diffraction formula," Appl. Opt. 45, 1102-1110 (2006).
3. A. Wuttig, M. Kanka, H. J. Kreuzer, and R. Riesenberg, "Packed domain Rayleigh-Sommerfeld wavefield propagation for large targets," Opt. Express 18, 27036-27047 (2010).
4. V. Nascov and P. C. Logofǎtu, "Fast computation algorithm for the Rayleigh-Sommerfeld diffraction formula using a type of scaled convolution," Appl. Opt. 48, 4310-4319 (2009).
5. K. Matsushima, H. Schimmel, and F. Wyrowski, "Fast calculation method for optical diffraction on tilted planes by use of the angular spectrum of plane waves," J. Opt. Soc. Am. A 20, 1755-1762 (2003).
6. N. Delen and B. Hooker, "Free-space beam propagation between arbitrarily oriented planes based on full diffraction theory: a fast Fourier transform approach," J. Opt. Soc. Am. A 15, 857-867 (1998). (Pubitemid 128572084)
7. Y. Lim, S.-Y. Lee, and B. Lee, "Transflective digital holographic microscopy and its use for probing plasmonic light beaming," Opt. Express 19, 5202-5212 (2011).
8. T. Colomb, N. Pavillon, J. Kühn, E. Cuche, C. Depeursinge, and Y. Emery, "Extended depth-of-focus by digital holographic microscopy," Opt. Lett. 35, 1840-1842 (2010).
9. J. Hahn, H. Kim, Y. Lim, G. Park, and B. Lee, "Wide viewing angle dynamic holographic stereogram with a curved array of spatial light modulators," Opt. Express 16, 12372-12386 (2008).
10. T. Kozacki, M. Kujawinska, G. Finke, W. Zaperty, and B. M. Hennelly, "Holographic capture and display systems in circular configurations," J. Display Technol. 8, 225-232 (2012).
11. A. J. Devaney, "A filtered backpropagation algorithm for diffraction tomography," Ultrason. Imag. 4, 336-350 (1982). (Pubitemid 13169103)
12. T. Kozacki, M. Kujawinska, and P. Kniazewski, "Investigation of limitations of optical diffraction tomography," Opto-Electron. Rev. 15, 102-109 (2007).
13. G. S. Khan, K. Mantel, I. Harder, N. Lindlein, and J. Schwider, "Design considerations for the absolute testing approach of aspherics using combined diffractive optical elements," Appl. Opt. 46, 7040-7048 (2007).
14. X. Zhou, D. P. Poenar, K. Y. Liu, M. S. Tse, C.-K. Heng, S. N. Tan, and N. Zhang, "Limits of scalar diffraction theory and an iterative angular spectrum algorithm for finite aperture diffractive optical element design," Opt. Express 8, 705-722 (2001).
15. P. Langehanenberg, G. Bally, and B. Kemper, "Autofocusing in digital holographic microscopy," 3D Research 2, 1-11 (2011).
16. T. Kozacki, M. Józwik, and R. Jóźwicki, "Determination of optical field generated by a microlens using digital holographic method," Opto-Electron. Rev. 17, 211-216 (2009).
17. J. J. Stamnes, Waves in Focal Regions: Propagation, Diffraction and Focusing of Light, Sound and Water Waves (Taylor & Francis, 1986).
18. T. Kozacki, "Numerical errors of diffraction computing using plane wave spectrum decomposition," Opt. Commun. 281, 4219-4223 (2008).
19. K. Matsushima, "Shifted angular spectrum method for offaxis numerical propagation.," Opt. Express 18, 18453-18463 (2010).
20. T. Kozacki, R. Krajewski, and M. Kujawinska, "Reconstruction of refractive-index distribution in off-axis digital holography optical diffraction tomographic system," Opt. Express 17, 13758-13767 (2009).
21. M. E. Testorf, B. M. Hennelly, and J. Ojeda-Castaneda, Phase-Space Optics Fundamentals and Applications (McGraw-Hill Professional, 2009).
22. H. Gross, W. Singer, and M. Totzek, Handbook of Optical Systems, Vol. 2 (Wiley, 2005).
23. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996).
24. J. G. Proakis and D. G. Manolakis, Digital Signal Processing: Principles, Algorithms and Applications, Vol. 4 (Prentice Hall, 1996), p. 471.
25. T. Kozacki, "On resolution and viewing of holographic image generated by 3D holographic display," Opt. Express 18, 27118-27129 (2010).
26. T. Kozacki, M. Kujawinska, G. Finke, B. Hennelly, and N. Pandey, "Extended viewing angle holographic display system with tilted SLMs in a circular configuration," Appl. Opt. 51, 1771-1780 (2012).
27. NVIDIA CUDA Programming Guide,Version 3 (NVIDIA Corporation, 2010), pp. 1-111.