OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 28, Iss. 4 — Apr. 1, 2011
  • pp: 554–559

Three-dimensional imaging by partially coherent light under nonparaxial condition

Yongjin Sung and Colin J. R. Sheppard  »View Author Affiliations


JOSA A, Vol. 28, Issue 4, pp. 554-559 (2011)
http://dx.doi.org/10.1364/JOSAA.28.000554


View Full Text Article

Enhanced HTML    Acrobat PDF (647 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

In this paper, we present the theory of three-dimensional (3D) imaging using partially coherent light under the nonparaxial condition. Using the linear system approach, we derive the image intensity in terms of the 3D nonparaxial transmission cross coefficient (TCC) and the transmission function defined in this paper. We present that the 3D TCC can be calculated by multiple applications of the 3D fast Fourier transform instead of the six-dimensional integral in the original formula. Using the simplified formula, we simulate phase contrast and Nomarski differential interference contrast (DIC) imaging of a transparent 3D object. Within our knowledge, the 3D model for the DIC based on the 3D nonparaxial TCC is the most rigorous approach that has been suggested. It demonstrates clearly the optical sectioning effect of DIC.

© 2011 Optical Society of America

OCIS Codes
(030.6600) Coherence and statistical optics : Statistical optics
(110.2990) Imaging systems : Image formation theory
(180.6900) Microscopy : Three-dimensional microscopy

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: January 5, 2011
Manuscript Accepted: February 1, 2011
Published: March 14, 2011

Virtual Issues
Vol. 6, Iss. 5 Virtual Journal for Biomedical Optics

Citation
Yongjin Sung and Colin J. R. Sheppard, "Three-dimensional imaging by partially coherent light under nonparaxial condition," J. Opt. Soc. Am. A 28, 554-559 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-4-554


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. W. Choi, C. Fang-Yen, K. Badizadegan, S. Oh, N. Lue, R. Dasari, and M. Feld, “Tomographic phase microscopy,” Nat. Meth. 4, 717–719 (2007). [CrossRef]
  2. Y. Sung, W. Choi, C. Fang-Yen, K. Badizadegan, R. Dasari, and M. Feld, “Optical diffraction tomography for high resolution live cell imaging,” Opt. Express 17, 266–277 (2009). [CrossRef] [PubMed]
  3. C. McCutchen, “Generalized aperture and the three-dimensional diffraction image,” J. Opt. Soc. Am. 54, 240–244 (1964). [CrossRef]
  4. B. R. Frieden, “Optical transfer of the three-dimensional object,” J. Opt. Soc. Am. 57, 56–65 (1967). [CrossRef]
  5. C. J. R. Sheppard, M. Gu, Y. Kawata, and S. Kawata, “Three-dimensional transfer functions for high-aperture systems,” J. Opt. Soc. Am. A 11, 593–598 (1994). [CrossRef]
  6. N. Streibl, “Three-dimensional imaging by a microscope,” J. Opt. Soc. Am. A 2, 121–127 (1985). [CrossRef]
  7. N. Streibl, “Fundamental restrictions for 3-D light distributions,” Optik 66, 341–354 (1984).
  8. N. Streibl, “Depth transfer by an imaging system,” J. Mod. Opt. 31, 1233–1241 (1984). [CrossRef]
  9. C. J. R. Sheppard and X. Mao, “Three-dimensional imaging in a microscope,” J. Opt. Soc. Am. A 6, 1260–1269 (1989). [CrossRef]
  10. A. Marathay, “Fourier transform of the Green’s function for the Helmholtz equation,” J. Opt. Soc. Am. 65, 964–965(1975). [CrossRef]
  11. E. Wolf, “Three-dimensional structure determination of semi-transparent objects from holographic data,” Opt. Commun. 1, 153–156 (1969). [CrossRef]
  12. C. McCutchen, “Generalized source and the Van Cittert—Zernike theorem: a study of the spatial coherence required for interferometry,” J. Opt. Soc. Am. 56, 727–733 (1966). [CrossRef]
  13. J. Goodman, Statistical Optics (Wiley, 1984).
  14. J. Goodman, Introduction to Fourier Optics (Roberts & Company, 2005).
  15. E. Brigham and R. Morrow, “The fast Fourier transform,” IEEE Spectrum 4, 63–70 (1967). [CrossRef]
  16. M. Kalashnikov, W. Choi, C. Yu, Y. Sung, R. Dasari, K. Badizadegan, and M. Feld, “Assessing light scattering of intracellular organelles in single intact living cells,” Opt. Express 17, 19674–19681(2009). [CrossRef] [PubMed]
  17. G. Nomarski, “Differential microinterferometer with polarized waves,” J. Phys. Radium 16, 9–13 (1955).
  18. C. J. Cogswell and C. J. R. Sheppard, “Confocal differential interference contrast (DIC) microscopy: including a theoretical analysis of conventional and confocal DIC imaging,” J. Microsc. 165, 81–101 (1992). [CrossRef]
  19. S. B. Mehta and C. J. R. Sheppard, “Partially coherent image formation in differential interference contrast (DIC) microscope,” Opt. Express 16, 19462–19479 (2008). [CrossRef] [PubMed]
  20. C. Preza, D. Snyder, and J. Conchello, “Theoretical development and experimental evaluation of imaging models for differential-interference-contrast microscopy,” J. Opt. Soc. Am. A 16, 2185–2199 (1999). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited