Exact solution for scalar diffraction between tilted and translated planes using impulse functions over a surface

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

Volumn 28, Issue 3, 2011, Pages 290-295

  Onural, Levent ^a  

^a BILKENT UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

FOURIER TRANSFORMS;

3-D PROBLEMS; A-PLANE; EXACT SOLUTION; IMPULSE FUNCTION; PROPAGATION DIRECTION; SCALAR DIFFRACTION;

DIFFRACTION;

EID: 79952348133     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.28.000290     Document Type: Article

References (22)

1. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (Mc-Graw-Hill, 1996).
2. M. Born and E. Wolf, Principles of Optics, 3rd ed. (Pergammon, 1965).
3. G. C. Sherman, "Application of the convolution theorem to Rayleigh's integral formulas," J. Opt. Soc. Am. 57, 546-547 (1967).
4. É. Lalor, "Conditions for the validity of the angular spectrum of plane waves," J. Opt. Soc. Am. 58, 1235-1237 (1968).
5. L. Onural and H. M. Ozaktas, "Signal processing issues in diffraction and holographic 3DTV," Image Comm. 22, 169-177 (2007). (Pubitemid 46412729)
6. L. Ahrenberg, P. Benzie, M. Magnor, and J. Watson, Computer generated holograms from three dimensional meshes using an analytic light transport model," Appl. Opt. 47, 1567-1574 (2008).
7. L. Onural, "Impulse functions over curves and surfaces and their applicationsto diffraction," J.Math.Anal. Appl.322,18-27(2006). (Pubitemid 43733384)
8. D. Leseberg and C. Frère, "Computer generated holograms of 3-D objects composed of tilted planar segments," Appl. Opt. 27, 3020-3024 (1988).
9. C. Frère and D. Leseberg, "Large objects reconstructed from computer generated holograms," Appl. Opt. 28, 2422-2425 (1989).
10. T. Tommasi and B. Bianco, "Frequency analysis of light diffraction between rotated planes," Opt. Lett. 17, 556-558 (1992).
11. T. Tommasi and B. Bianco, "Computer-generated holograms of tilted planes by a spatial frequency approach," J. Opt. Soc. Am. A 10, 299-305 (1993). (Pubitemid 23677102)
12. 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)
13. G. B. Esmer, "Computation of holographic patterns between tilted planes," Master's thesis (Bilkent University, 2004).
14. G. B. Esmer and L. Onural, "Simulation of scalar optical diffraction between arbitrarily oriented planes," in Proceedings of 2004 First International Symposium on Control, Communications and Signal Processing, ISCCSP 2004 (IEEE, 2004), pp. 225-228.
15. 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).
16. K. Matsushima, "Formulation of the rotational transformation of wave fields and their application to holography," Appl. Opt. 47, D110-D116 (2008).
17. H. Sakata and Y. Sakamoto, "Fast computation method for a Fresnel hologram using three-dimensional affine transformations in real space," Appl. Opt. 48, H212 (2009).
18. K. Matsushima and A. Kondoh, "Wave optical algorithm for creating digitally synthetic holograms of three-dimensional surface objects," Proc. SPIE 5005, 190-197 (2003).
19. K. Matsushima, "Performance of the polygon-source method for creating computer-generated holograms of surface objects," in Proceedings of ICO Topical Meeting on Optoinformatics / Information Photonics (International Commission for Optics, 2006), pp. 99-100.
20. K. Matsushima and S. Nakahara, "Extremely high-definition fullparallax computer-generated hologram created by the poligonbased method," Appl. Opt. 48, H54 (2009).
21. G. B. Esmer, "Calculation of scalar optical diffraction field from its distributed samples over the space," Ph.D. thesis (Bilkent University, 2010).
22. A. W. Lohmann. "Three-dimensional properties of wave-fields," Optik (Jena) 51, 105-117 (1978).