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. 29, Iss. 3 — Mar. 1, 2012
  • pp: 244–250

Reconstruction in interferometric synthetic aperture microscopy: comparison with optical coherence tomography and digital holographic microscopy

Colin J. R. Sheppard, Shan Shan Kou, and Christian Depeursinge  »View Author Affiliations


JOSA A, Vol. 29, Issue 3, pp. 244-250 (2012)
http://dx.doi.org/10.1364/JOSAA.29.000244


View Full Text Article

Enhanced HTML    Acrobat PDF (512 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

It is shown that the spatial frequencies recorded in interferometric synthetic aperture microscopy do not correspond to exact backscattering [as they do in unistatic synthetic aperture radar (SAR)] and that the reconstruction process based on SAR is therefore based on an approximation. The spatial frequency response is developed based on the three-dimensional coherent transfer function approach and compared with that in optical coherence tomography and digital holographic microscopy.

© 2012 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(170.4500) Medical optics and biotechnology : Optical coherence tomography
(180.1790) Microscopy : Confocal microscopy
(180.3170) Microscopy : Interference microscopy
(180.6900) Microscopy : Three-dimensional microscopy

ToC Category:
Medical Optics and Biotechnology

History
Original Manuscript: September 9, 2011
Revised Manuscript: November 13, 2011
Manuscript Accepted: November 13, 2011
Published: February 9, 2012

Virtual Issues
Vol. 7, Iss. 5 Virtual Journal for Biomedical Optics

Citation
Colin J. R. Sheppard, Shan Shan Kou, and Christian Depeursinge, "Reconstruction in interferometric synthetic aperture microscopy: comparison with optical coherence tomography and digital holographic microscopy," J. Opt. Soc. Am. A 29, 244-250 (2012)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-29-3-244


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. T. S. Ralston, D. L. Marks, P. S. Carney, and S. A. Boppart, “Inverse scattering for optical coherence tomography,” J. Opt. Soc. Am. A 23, 1027–1037 (2006). [CrossRef]
  2. T. S. Ralston, D. L. Marks, P. S. Carney, and S. A. Boppart, “Interferometric synthetic aperture microscopy,” Nat. Phys. 3, 129–134 (2007). [CrossRef]
  3. D. L. Marks, T. S. Ralston, S. A. Boppart, and P. S. Carney, “Inverse scattering for frequency-scanned full-field optical coherence tomography,” J. Opt. Soc. Am. A 24, 1034–1041 (2007). [CrossRef]
  4. B. J. Davis, T. S. Ralston, D. L. Marks, S. A. Boppart, and P. S. Carney, “Autocorrelation artifacts in optical coherence tomography and interferometric synthetic aperture microscopy,” Opt. Lett. 32, 1441–1443 (2007). [CrossRef]
  5. B. J. Davis, S. Schlachter, D. L. Marks, T. S. Ralston, S. A. Boppart, and P. S. Carney, “Non-paraxial vector-field modeling of optical coherence tomography and interferometric synthetic aperture microscopy,” J. Opt. Soc. Am. A 24, 2527–2542 (2007). [CrossRef]
  6. T. S. Ralston, G. L. Charvat, S. G. Adie, B. J. Davis, P. S. Carney, and S. A. Boppart, “Microscopic laser radar,” Opt. Photon. News 21(6), 32–38 (2010). [CrossRef]
  7. D. Huang, E. A. Swanson, C. P. Lin, J. S. Schuman, W. G. Stinson, W. Chang, M. R. Lee, T. Flotte, K. Gregory, C. A. Puliafito, and J. G. Fujimoto, “Optical coherence tomography,” Science 254, 1178–1181 (1991). [CrossRef]
  8. J. A. Izatt, M. R. Hee, G. M. Owen, E. A. Swanson, and J. G. Fujimoto, “Optical coherence microscopy in scattering media,” Opt. Lett. 19, 590–592 (1994). [CrossRef]
  9. A. Dubois, L. Vabre, A.-C. Boccara, and E. Beaurepaire, “High-resolution full-field optical coherence tomography with a Linnik microscope,” Appl. Opt. 41, 805–812 (2002). [CrossRef]
  10. M. Roy and C. J. R. Sheppard, “Geometric phase-shifting for low-coherence interference microscopy,” Opt. Lasers Eng. 37, 631–641 (2002). [CrossRef]
  11. M. Roy, C. J. R. Sheppard, and P. Hariharan, “Low-coherence interference microscopy using a ferro-electric liquid crystal phase-modulator,” Opt. Express 12, 2512–2516 (2004). [CrossRef]
  12. D. K. Hamilton and C. J. R. Sheppard, “A confocal interference microscope,” Opt. Acta 29, 1573–1577 (1982). [CrossRef]
  13. E. Cuche, F. Bevilacqua, and C. Depeursinge, “Digital holography for quantitative phase-contrast imaging,” Opt. Lett. 24, 291–293 (1999). [CrossRef]
  14. V. Lauer, “New approach to optical diffraction tomography yielding a vector equation of diffraction tomography and a novel tomographic microscope,” J. Microsc. 205, 165–176 (2002). [CrossRef]
  15. F. Charrière, M. A. F. Montfort, J. Kühn, T. Colomb, E. Cuche, P. Marquet, and C. Depeursinge, “Cell refractive index tomography by digital holographic microscopy,” Opt. Lett. 31, 178–180 (2006). [CrossRef]
  16. W. Choi, C. Fang-Yen, K. Badizadegan, R. R. Dasari, and M. S. Feld, “Extended depth of focus in tomographic phase microscopy using a propagation algorithm,” Opt. Lett. 33, 171–173 (2008). [CrossRef]
  17. J. Kuehn, F. Montfort, T. Colomb, B. Rappaz, C. Moratal, N. Pavillon, P. Marquet, and C. Depeursinge, “Submicrometer tomography of cells by multiple wavelength digital holographic microscopy in reflection,” Opt. Lett. 34, 653–655 (2009). [CrossRef]
  18. E. Wolf, “Three-dimensional structure determination of semi-transparent objects from holographic data,” Opt. Commun. 1, 153–156 (1969). [CrossRef]
  19. C. J. R. Sheppard, M. Roy, and M. D. Sharma, “Image formation in low-coherence and confocal interference microscopes,” Appl. Opt. 43, 1493–1502 (2004). [CrossRef]
  20. S. S. Kou and C. J. R. Sheppard, “Imaging in digital holographic microscopy,” Opt. Express 15, 13640–13648 (2007). [CrossRef]
  21. R. Dändliker and K. Weiss, “Reconstruction of the three-dimensional refractive index from scattered waves,” Opt. Commun. 1, 323–328 (1970). [CrossRef]
  22. C. J. R. Sheppard, “The spatial frequency cut-off in three-dimensional imaging,” Optik 72, 131–133 (1986).
  23. C. J. R. Sheppard and C. J. Cogswell, “Three-dimensional image formation in confocal microscopy,” J. Microsc. 159, 179–194 (1990). [CrossRef]
  24. C. J. R. Sheppard and C. J. Cogswell, “Three-dimensional imaging in confocal microscopy,” in Confocal Microscopy, T. Wilson, ed. (Academic, 1990), pp. 143–169.
  25. C. J. R. Sheppard and T. Wilson, “Fourier imaging of phase information in conventional and scanning microscopes,” Phil. Trans. R. Soc. A 295, 513–536 (1980). [CrossRef]
  26. C. W. McCutchen, “Generalized aperture and the three-dimensional diffraction image,” J. Opt. Soc. Am. 54, 240–244 (1964). [CrossRef]
  27. C. J. R. Sheppard, M. Gu, and X. Q. Mao, “Three-dimensional coherent transfer function in a reflection-mode confocal scanning microscope,” Opt. Commun. 81, 281–284 (1991). [CrossRef]
  28. 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]
  29. T. Sawatari, “Optical heterodyne scanning microscope,” Appl. Opt. 12, 2768–2772 (1973). [CrossRef]
  30. M. Kempe and W. Rudolf, “Comparative study of confocal and heterodyne microscopy for imaging through scattering media,” J. Opt. Soc. Am. A 13, 46–52 (1996). [CrossRef]
  31. M. Gu, X. Gan, and C. J. R. Sheppard, “Three-dimensional coherent transfer functions in fibre optical confocal scanning microscopes,” J. Opt. Soc. Am. A 8, 1019–1025 (1991). [CrossRef]
  32. M. Villiger and T. Lasser, “Image formation and tomogram reconstruction in optical coherence microscopy,” J. Opt. Soc. Am. A 27, 2216–2228 (2010). [CrossRef]
  33. C. J. R. Sheppard and T. Wilson, “The theory of scanning microscopes with Gaussian pupil functions,” J. Microsc. 114, 179–197 (1978). [CrossRef]
  34. C. J. R. Sheppard, H. Fatemi, and M. Gu, “The Fourier optics of near-field microscopy,” Scanning 17, 28–40 (1995). [CrossRef]
  35. M. Gu and C. J. R. Sheppard, “Fibre-optical confocal scanning interference microscopy,” Opt. Commun. 100, 79–86 (1993). [CrossRef]
  36. G. S. Kino, “Acoustic imaging for nondestructive evaluation,” Proc. IEEE 67, 510–525 (1979). [CrossRef]
  37. G. A. Deschamps, “Gaussian beam as a bundle of complex rays,” Electron. Lett. 7, 684–685 (1971). [CrossRef]
  38. C. J. R. Sheppard and S. Saghafi, “Beam modes beyond the paraxial approximation: a scalar treatment,” Phys. Rev. A 57, 2971–2979 (1998). [CrossRef]
  39. M. Gu and C. J. R. Sheppard, “Three-dimensional coherent transfer functions in confocal imaging with two unequal annular lenses,” J. Mod. Opt. 40, 1255–1272 (1993). [CrossRef]
  40. C. J. R. Sheppard, “The use of lenses with annular aperture in scanning optical microscopy,” Optik 48, 329–334 (1977).
  41. C. J. R. Sheppard and A. Choudhury, “Image formation in the scanning microscope,” Opt. Acta 24, 1051–1073 (1977). [CrossRef]
  42. C. J. R. Sheppard and T. Wilson, “Imaging properties of annular lenses,” Appl. Opt. 18, 3764–3769 (1979). [CrossRef]
  43. R. J. Wombell and J. A. De Santo, “Reconstruction of rough-surface profiles with the Kirchhoff approximation,” J. Opt. Soc. Am. A 8, 1892–1897 (1991). [CrossRef]
  44. C. H. Greenewalt, W. Brandt, and D. D. Friel, “Irridescent colors of hummingbird feathers,” J. Opt. Soc. Am. 50, 1005–1013 (1960). [CrossRef]
  45. C. J. R. Sheppard, “Approximate calculation of the reflection coefficient from a stratified medium,” Pure Appl. Opt. 4, 665–669(1995). [CrossRef]
  46. L. M. Brekhovskikh, Waves in Layered Media (Academic, 1960).
  47. C. J. R. Sheppard, T. J. Connolly, and M. Gu, “The scattering potential for imaging in the reflection geometry,” Opt. Commun. 117, 16–19 (1995). [CrossRef]
  48. C. J. R. Sheppard and F. Aguilar, “Fresnel coefficients for weak reflection and the scattering potential for three-dimensional imaging,” Opt. Commun. 162, 182–186 (1999). [CrossRef]
  49. C. J. R. Sheppard, “Scattering and the spatial frequency representation,” in Light Scattering and Nanoscale Surface Roughness, A. A. Maradudin, ed. (Springer, 2007), pp. 61–92.
  50. P. C. Chaumet, A. Sentenac, and A. Rahmani, “Coupled dipole method for scatterers with large permittivity,” Phys. Rev. E 70, 036606 (2004). [CrossRef]
  51. M. Gu and C. J. R. Sheppard, “Three-dimensional image formation in confocal microscopy under ultra-short laser-pulse illumination,” J. Mod. Opt. 42, 747–762 (1995). [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.

Figures

Fig. 1. Fig. 2. Fig. 3.
 
Fig. 4.
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited