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Quantitative space-bandwidth product analysis in digital holography

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Claus, Daniel, Iliescu, Daciana and Bryanston-Cross, P.. (2011) Quantitative space-bandwidth product analysis in digital holography. Applied Optics, Vol.50 (No.34). H116-H127. ISSN 0003-6935

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Official URL: http://dx.doi.org/10.1364/AO.50.00H116

Abstract

The space-bandwidth product (SBP) is a measure for the information capacity an optical system possesses. The two information processing steps in digital holography, recording, and reconstruction are analyzed with respect to the SBP. The recording setups for a Fresnel hologram, Fourier hologram, and image-plane hologram, which represent the most commonly used setup configurations in digital holography, are investigated. For the recording process, the required SBP to ensure the recording of the entire object information is calculated. This is accomplished by analyzing the recorded interference pattern in the hologram-plane. The paraxial diffraction model is used in order to simulate the light propagation from the object to hologram-plane. The SBP in the reconstruction process is represented by the product of the reconstructed field-of-view and spatial frequency bandwidth. The outcome of this analysis results in the best SBP adapted digital holographic setup.

Item Type: Journal Article
Subjects: T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions: Faculty of Science > Engineering
Library of Congress Subject Headings (LCSH): Holography
Journal or Publication Title: Applied Optics
Publisher: Optical Society of America
ISSN: 0003-6935
Date: 2011
Volume: Vol.50
Number: No.34
Number of Pages: 12
Page Range: H116-H127
Identification Number: 10.1364/AO.50.00H116
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
References: 1. A. W. Lohmann. The space-bandwidth product, applied to spatial filtering and to holography. IBM Research Paper, RJ-438, 1967. 2. L. Xu, Z. Guo X. Peng, J. Miao, and A. Asundi. Imaging analysis of digital holography. Opt. Express, 13(7):2444–2552, 2005. 3. J. W. Goodman. Introduction to Fourier Optics. McGraw-Hill, second edition edition, 1996. 4. F. Dubois, C. Schockaert, N. Callens, and C. Yourassowsky. Focus plane detection criteria in digital holography microscopy by amplitude analysis. Opt. Express, 14(13):5859–5958, 2006. 5. 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. 6. A. W. Lohmann, M. E. Testorf, and J. Ojeda-Casta˜neda. The art and science of holography: a tribute to Emmett Leith and Yuri Denisyuk, chapter Holography and the Wigner function. SPIE Press, 2004. 7. U. Schnars and W. Jueptner. Digital Holography. Springer, 2005. 8. T. Kreis. Handbook of holographic interferometry: optical and digital methods. Wiley-VCH, 2005. 9. L. Z. Cai, Q. Liu, and X. L. Yang. Generalized phase-shifting interferometry with arbitrary unknown phase steps for diffraction objects. Opt. Lett., 29(2):183–185, 2004. 10. U. Schnars. Digtal Holography. Springer, 2005. 11. P. Hariharan. Optical holography. Cambridge University Press, 1984. 12. A. W. Lohmann and S. Sinzinger. Optical Information Processing. Universit¨atsverlag Ilmenau, 2006. 13. E. Zeidler, H. R. Schwarz, and W. Hackbusch. Taschenbuch der Mathematik. B.G.Teubner, 1996. 14. R. Bracewell. The Fourier Transform and Its Applications, chapter The Impulse Symbol, pages 69–97. McGraw-Hill, 1986. 15. G. O. Reynolds, J. B. DeVelis, G. B. Parrent, and B. J. Thompson. The new physical optics notebook: tutorials in fourier optics. SPIE Press, 1989. 16. A. W. Lohmann. Space-bandwidth product of optical signals and systems. J. Opt. Soc. Am. A, 13(3):470–473, 1996.
URI: http://wrap.warwick.ac.uk/id/eprint/40544

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