Discrete diffraction transform for propagation, reconstruction, and design of wavefield distributions

Applied Optics

Volumn 47, Issue 19, 2008, Pages 3481-3493

  Katkovnik, Vladimir ^a   Astola, Jaakko ^a   Egiazarian, Karen ^a  

^a TAMPERE UNIVERSITY OF TECHNOLOGY   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFRACTION; FREQUENCY DOMAIN ANALYSIS;

ACCURATE CALCULATIONS; CLASS OF DISTRIBUTIONS; DIFFRACTION INTEGRAL; DISCRETIZATION EFFECTS; FREQUENCY DOMAIN ALGORITHM; INVARIANT DISTRIBUTION; SPATIAL LIGHT MODULATORS; WAVEFIELD PROPAGATION;

LIGHT MODULATORS;

EID: 51949093974     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.47.003481     Document Type: Article

References (15)

1. Th. Kreis, Handbook of Holographic Interferometry (Optical and Digital Methods) (Wiley-VCH, 2005).
2. I. Yamaguchi, J. Kato, S. Ohta, and J. Mizuno, "Image formation in phase-shifting digital holography and applications to microscopy," Appl. Opt. 40, 6177-6186 (2001).
3. V. Katkovnik, J. Astola, and K. Egiazarian, "Wavefield reconstruction and design as discrete inverse problems," Proceedings of 3D TV Conference, Istanbul (2008).
4. G. S. Sherman, "Integral-transform formulation of diffraction theory," J. Opt. Soc. Am. 57, 1490-1498 (1967).
5. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1996) 2nd edition.
6. L. Onural, "Exact analysis of the effects of sampling of the scalar diffraction field," J. Opt. Soc. Am. A 24, 359-367 (2007).
7. F. Shen and A. Wang, "Fast-Fourier-transform based numerical integration method for the Rayleigh-Sommerfeld diffraction formula," Appl. Opt. 45, 1102-1110 (2006).
8. J. M. Arnold, "Phase-space localization and discrete representations of wave fields," J. Opt. Soc. Am. A 12, 111-123 (1995).
9. L. Onural, "Some mathematical properties of the uniformly sampled quadratic phase function and associated issues in digital Fresnel diffraction simulations," Opt. Eng. 43, 2557-2563 (2004).
10. I. Aizenberg and J. Astola, "Discrete generalized Fresnel functions and transforms in an arbitrary discrete basis," IEEE Trans. Signal Process. 54, 4261-4270 (2006).
11. M. Liebling, Th. Blu, and M. Unser, "Fresnelets: new multiresolution wavelet bases for digital holography," IEEE Trans. Image Process. 12, 29-43 (2003).
12. M. Bertero and P. Boccacci, Introduction to Inverse Problems in Imaging (IOP Publishing, 1998).
13. A. N. Tikhonov and V. Y. Arsenin, Solution of Ill-Posed Problems (Wiley, 1977).
14. V. Katkovnik, K. Egiazarian, J. Astola, Local Approximation Techniques in Signal and Image Processing (SPIE, 2006).
15. V. Katkovnik, J. Astola, and K. Egiazarian, "Numerical wavefield reconstruction in phase-shifting holography as inverse discrete problem," submitted to EUSIPCO 2008 (2008).