Resolution limits in practical digital holographic systems

Optical Engineering

Volumn 48, Issue 9, 2009, Pages

  Kelly, Damien P ^a   Hennelly, Bryan M ^a   Pandey, Nitesh ^a   Naughton, Thomas J ^a,b   Rhodes, William T ^c  

^a NATIONAL UNIVERSITY OF IRELAND   (Ireland)

^b UNIVERSITY OF OULU   (Finland)

^c FLORIDA ATLANTIC UNIVERSITY   (United States)

Author keywords

Digital imaging; Holography; Interference

Indexed keywords

ADJACENT PIXELS; AVERAGING EFFECT; DH SYSTEMS; DIFFRACTION LIMITED; DIGITAL HOLOGRAPHIC SYSTEMS; DIGITAL HOLOGRAPHY; DIGITAL IMAGING; FINITE SIZE; HOLOGRAPHIC RECORDINGS; IN-LINE; INTERFERENCE; NYQUIST FREQUENCY; OFF-AXIS; PHYSICAL EFFECTS; RESOLUTION LIMITS; SHIFT-VARIANT; THEORETICAL LIMITS; THEORETICAL MODELS; TWIN-IMAGE;

BUBBLES (IN FLUIDS); COMPUTER GENERATED HOLOGRAPHY; DIGITAL CAMERAS; OPTOELECTRONIC DEVICES;

HOLOGRAPHIC INTERFEROMETRY;

EID: 70349202541     PISSN: 00913286     EISSN: 15602303     Source Type: Journal    
DOI: 10.1117/1.3212678     Document Type: Conference Paper

References (58)

1. D. Gabor, "A new microscopic principle," Nature (London) 161, 777-778 (1948).
2. A. W. Lohmann, Optical Information Processing, Universitätsverlag Ilmeanau (2006).
3. J. Goodman, Introduction to Fourier Optics, 2nd ed., McGraw-Hill, New York (1966).
4. P. Hariharan, Basics of Holography, Cambridge University Press, New York (2002).
5. E. N. Leith and J. Upatnieks, "Wavefront reconstruction with continuous-tone objects," J. Opt. Soc. Am. 53, 1377-1381 (1963).
6. M. Testorf and A. W. Lohmann, "Holography in phase space," Appl. Opt. 47, A70-A77 (2008).
7. J. W. Goodman and R. Lawrence, "Digital image formation from electronically detected holograms," Appl. Phys. Lett. 11, 77-79 (1967).
8. U. Schnars and W. Juptner, "Digital recording and numerical reconstruction of holograms," Meas. Sci. Technol. 13, R85-R101 (2002).
9. I. Yamaguchi and T. Zhang, "Phase-shifting digital holography," Opt. Lett. 22, 1268-1270 (1997).
10. O. Matoba, T. J. Naughton, Y. Frauel, N. Bertaux, and B. Javidi, "Real-time three-dimensional object reconstruction by use of a phaseencoded digital hologram," Appl. Opt. 41, 6187-6192 (2002). (Pubitemid 35263591)
11. U. Gopinathan, D. S. Monaghan, B. M. Hennelly, C. P. M. Elhinney, D. P. Kelly, J. McDonald, T. J. Naughton, and J. T. Sheridan, "A projection system for real world three-dimensional objects using spatial light modulators J. Disp. Technol. 4, 254-261 (2008).
12. A. Michalkiewicz, M. Kujawinska, J. Krezel, L. Salbut, X. Wang, and P. J. Bos, "Phase manipulation and optoelectronic reconstruction of digital holograms by means of LCOS spatial light modulator," Proc. SPIE 5776, 144-152 (2005).
13. G. Pedrini, I. Alexeenko, W. Osten, and U. Schnars, "On-line surveillance of a dynamic process by a moving system based on pulsed digital holographic interferometry," Appl. Opt. 45, 935-943 (2006).
14. F. Charrière, T. Colomb, F. Montfort, E. Cuche, P. Marquet, and C. Depeursinge, "Shot-noise influence on the reconstructed phase image signal-to-noise ratio in digital holographic microscopy," Appl. Opt. 45, 7667-7673 (2006).
15. P. Ferraro, S. Grilli, D. Alfieri, S. D. Nicola, A. Finizio, G. Pierattini, B. Javidi, G. Coppola, and V. Striano, "Extended focused image in microscopy by digital holography," Opt. Express 13, 6738-6749 (2005).
16. A. W. Lohmann, R. G. Dorsch, D. Mendolovic, Z. Zalevsky, and C. Ferreira, "Space-bandwidth product of optical signals and systems," J. Opt. Soc. Am. A 13, 470-473 (1996).
17. T. M. Kreis, "Frequency analysis of digital holography Opt. Eng. 41, 771-778 (2002).
18. T. M. Kreis, "Frequency analysis of digital holography with reconstruction by convolution," Opt. Eng. 41, 1829-1839 (2002).
19. J. Garcia-Sucerquia, W. Xu, S. K. Jericho, P. Klages, M. H. Jericho, and H. J. Kreuzer, "Digital in-line holographic microscopy," Appl. Opt. 45, 836-850 (2006).
20. P. Picart, J. Leval, D. Mounier, and S. Gougeon, "Some opportunities for vibration analysis with time averaging in digital Fresnel holography," Appl. Opt. 44, 337-343 (2005).
21. P. Picart and J. Leval, General theoretical formulation of image formation in digital Fresnel holography J. Opt. Soc. Am. A 25, 1744- 1761 (2008).
22. T. Latychevskaia and H.-W. Fink, ArXiv Physics e-prints (2006), arXiv:physics/0610048.
23. E. N. Leith and J. Upatnieks, "Reconstructed wavefronts and communication theory J. Opt. Soc. Am. 52, 1123-1128 (1962).
24. C. Liu, Y. Li, X. Cheng, Z. Liu, F. Bo, and J. Zhu, "Elimination of zero-order diffraction in digital holography, " Opt. Eng. 41, 2434- 2437 (2002).
25. F. Dubois, C. Schockaert, N. Callens, and C. Yourassowsky, "Focus plane detection criteria in digital holography microscopy by amplitude analysis," Opt. Express 14, 5895-5908 (2006).
26. D. P. Kelly, B. M. Hennelly, C. McElhinney, and T. J. Naughton, "A practical guide to digital holography and generalized sampling," Proc. SPIE 7072, 707215 (2008).
27. F. Gori, "Fresnel transform and sampling theorem," Opt. Commun. 39, 293-297 (1981).
28. L. Onural, "Exact analysis of the effects of sampling of the scalar diffraction field," J. Opt. Soc. Am. A 24(2), 359-367 (2007).
29. A. Stern and B. Javidi, "Improved-resolution digital holography using the generalized sampling theorem for locally band-limited fields," J. Opt. Soc. Am. A 23, 1227-1235 (2006).
30. A. Stern and B. Javidi, "Sampling in the light of Wigner distribution," J. Opt. Soc. Am. A 21, 360-366 (2004).
31. A. Stern and B. Javidi, "Sampling in the light of Wigner distribution: errata," J. Opt. Soc. Am. A 21, 2038 (2004).
32. L. Onural, "Sampling of the diffraction field," Appl. Opt. 39, 5929- 5935 (2000).
33. A. Stern and B. Javidi, "Space-bandwith conditions for efficient phase-shifting digital holographic microscopy," J. Opt. Soc. Am. A 25, 736-741 (2008).
34. A. Stern and B. Javidi, "Analysis of practical sampling and reconstruction from Fresnel fields," Opt. Eng. 43, 239-250 (2004).
35. C.-S. Guo, L. Zhang, Z.-Y. Rong, and H.-T. Wang, "Effect of the fill factor of CCD pixels on digital holograms: comment on the papers "Frequency analysis of digital holography" and "Frequency analysis of digital holography with reconstruction by convolution", Opt. Eng. 42, 2768-2771 (2003).
36. J. W. Goodman, Statistical Optics, Wiley, Hoboken, NJ, (1985).
37. R. Bracewell, The Fourier Transform and its Applications, McGraw- Hill, New York (1965).
38. A. Stern, "Sampling of linear canonical transformed signals," Sig. Proc. 86, 1421-1425 (2006).
39. S. Haykin, Communications Systems, 4th ed., Wiley, Hoboken, NJ (2000).
40. T. M. Kreis, "Response to "Effect of the fill factor of CCD pixels on digital holograms: comment on the papers Frequency analysis of digital holography and Frequency analysis of digital holography with reconstruction by convolution"'," Opt. Eng. 42, 2772 (2003).
41. T. Kreis and W. Juptner, "Suppression of the dc term in digital holography," Opt. Eng. 36, 2357-2361 (1997).
42. B. M. Hennelly and J. T. Sheridan, "Fast numerical algorithm for the linear canonical transform," J. Opt. Soc. Am. A 22, 928-937 (2005).
43. 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).
44. L. Leushacke and M. Kirchner, "Three-dimensional correlation coefficient of speckle intensity for rectangular and circular apertures," J. Opt. Soc. Am. A 7, 827-832 (1990).
45. A. W. Lohmann and J. Ojeda-Castañeda, "Fresnel similarity," Opt. Commun. 249, 397-405 (2005).
46. D. P. Kelly, B. M. Hennelly, W. T. Rhodes, and J. T. Sheridan, "Analytical and numerical analysis of linear optical systems," Opt. Eng. 45, 008201-1-008201-12 (2006).
47. B. M. Hennelly and J. T. Sheridan, "Generalizing, optimizing, and inventing numerical algorithms for the fractional Fourier, Fresnel, and linear canonical transforms," J. Opt. Soc. Am. A 22, 917-927 (2005).
48. D. Mas, J. Garcia, C. Ferreira, L. M. Bernardo, and F. Marinho, "Fast numerical calculation of Fresnel patterns in convergent systems," Opt. Commun. 227, 245-258 (2003).
49. I. Yamaguchi, J. ichi Kato, S. Ohta, and J. Mizuno, "Image formation in phase-shifting digital holography and applications to microscopy," Appl. Opt. 40, 6177-6186 (2001).
50. U. Schnars and W. P. Jueptner, Digital Holography: Digital Recording, Numerical Reconstruction and Related Techniques, Springer- Verlag, Berlin (2005).
51. T. Nomura, S. Murata, E. Nitanai, and T. Numata, "Phase-shifting digital holography with a phase difference between orthogonal polarizations," Appl. Opt. 45, 4873-4877 (2006).
52. H. Jin, H. Wan, Y. Zhang, Y. Li, and P. Qiu, "The influence of structural parameters of CCD on the reconstruction image of digital holograms," J. Mod. Opt. 55, 2989-3000 (2008).
53. W. T. Rhodes, Lecture Series: Fourier Optics and Holography, Imaging Technology Center, Florida Atlantic University (2006).
54. M. Liebling, "A Fresnelet approach to digital holography," in New Directions in Holography and Speckles, pp. 69-86, American Scientific Publishers, Fisk University, Nashville, USA (2008).
55. J. Maycock, B. M. Hennelly, J. B. McDonald, Y. Frauel, A. Castro, B. Javidi, and T. J. Naughton, "Reduction of speckle in digital holography by discrete Fourier filtering," J. Opt. Soc. Am. A 24, 1617-1622 (2007).
56. M. Liebling, PhD thesis, Swiss Federal Institute of Technology Lausanne (2004).
57. M. Liebling, T. Blu, and M. Unser, "Fresnelets: new multiresolution wavelet bases for digital holography," IEEE Trans. Image Process. 12, 29-43 (2003).
58. M. Liebling and M. Unser, "Autofocus for digital Fresnel holograms by use of a Fresnelet-sparsity criterion," J. Opt. Soc. Am. A 21, 2424- 2430 (2004).