OSA's Digital Library

Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editor: Gregory W. Faris
  • Vol. 2, Iss. 5 — May. 17, 2007

Frequency-domain sensitivity analysis for small imaging domains using the equation of radiative transfer

Xuejun Gu, Kui Ren, and Andreas H. Hielscher  »View Author Affiliations


Applied Optics, Vol. 46, Issue 10, pp. 1624-1632 (2007)
http://dx.doi.org/10.1364/AO.46.001624


View Full Text Article

Enhanced HTML    Acrobat PDF (189 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Optical tomography of small imaging domains holds great promise as the signal-to-noise ratio is usually high, and the achievable spatial resolution is much better than in large imaging domains. Emerging applications range from the imaging of joint diseases in human fingers to monitoring tumor growth or brain activity in small animals. In these cases, the diameter of the tissue under investigation is typically smaller than 3 cm, and the optical path length is only a few scattering mean-free paths. It is well known that under these conditions the widely applied diffusion approximation to the equation of radiative transfer (ERT) is of limited applicability. To accurately model light propagation in these small domains, the ERT has to be solved directly. We use the frequency-domain ERT to perform a sensitivity study for small imaging domains. We found optimal source-modulation frequencies for which variations in optical properties, size, and location of a tissue inhomogeneity lead to maximal changes in the amplitude and phase of the measured signal. These results will be useful in the design of experiments and optical tomographic imaging systems that probe small tissue volumes.

© 2007 Optical Society of America

OCIS Codes
(170.0170) Medical optics and biotechnology : Medical optics and biotechnology
(170.3880) Medical optics and biotechnology : Medical and biological imaging
(170.6960) Medical optics and biotechnology : Tomography

ToC Category:
Diffuse optical imaging

History
Original Manuscript: June 27, 2006
Manuscript Accepted: August 7, 2006
Published: March 13, 2007

Virtual Issues
Vol. 2, Iss. 5 Virtual Journal for Biomedical Optics

Citation
Xuejun Gu, Kui Ren, and Andreas H. Hielscher, "Frequency-domain sensitivity analysis for small imaging domains using the equation of radiative transfer," Appl. Opt. 46, 1624-1632 (2007)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=ao-46-10-1624


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. B. Chance, R. R. Alfano, B. J. Tromberg, M. Tamura, and E. M. Sevick-Muraca, in Optical Tomography and Spectroscopy of Tissue VI, Proc. SPIE 5693 (2005).
  2. B. Chance, R. R. Alfano, and B. J. Tromberg, in Optical Tomography and Spectroscopy of Tissue III, Proc. SPIE 3597, (1999).
  3. G. Müller, B. Chance, R. R. Alfano, S. Arridge, J. Beuthan, E. Gratton, M. Kaschke, B. Masters, S. Svanberg, and P. van der Zee, in Medical Optical Tomography: Functional Imaging and Monitoring, Proc. SPIE IS11 (1993).
  4. A. K. Scheel, M. Backhaus, A. D. Klose, B. Moa-Anderson, U. Netz, K. G. Hermann, J. Beuthan, G. A. Müller, G. R. Burmester, and A. H. Hielscher, "First clinical evaluation of sagittal laser optical tomography for detection of synovitis in arthritic finger joints," Ann. Rheum. Dis. 64, 239-245 (2005). [CrossRef]
  5. A. H. Hielscher, A. Klose, A. K. Scheel, B. Moa-Anderson, M. Backhaus, U. Netz, and J. Beuthan, "Sagittal laser optical tomography for imaging of rheumatoid finger joints," Phys. Med. Biol. 49, 1147-1163 (2004). [CrossRef] [PubMed]
  6. A. H. Hielscher, "Optical tomographic imaging of small animals," Curr. Opin. Biotechnol. 16, 79-88 (2005). [CrossRef] [PubMed]
  7. O. Dorn, "A transport-backtransport method for optical tomography," Inverse Probl. 14, 1107-1130 (1998). [CrossRef]
  8. A. D. Klose and A. H. Hielscher, "Iterative reconstruction scheme for optical tomography based on the equation of radiative transfer," Med. Phys. 26, 1698-1707 (1999). [CrossRef] [PubMed]
  9. A. D. Klose, U. Netz, J. Beuthan, and A. H. Hielscher, "Optical tomography using the time-independent equation of radiative transfer. part 1: Forward model," J. Quant. Spectrosc. Radiat. Transfer 72, 691-713 (2002). [CrossRef]
  10. A. D. Klose and A. H. Hielscher, "Optical tomography using the time-independent equation of radiative transfer. part 2: Inverse model," J. Quant. Spectrosc. Radiat. Transfer 72, 715-732 (2002). [CrossRef]
  11. A. D. Klose and A. H. Hielscher, "Quasi-Newton methods in optical tomographic image reconstruction," Inverse Probl. 19, 387-409 (2003). [CrossRef]
  12. G. Abdoulaev and A. H. Hielscher, "Three-dimensional optical tomography with the equation of radiative transfer," J. Electron. Imaging 14, 594-560 (2003). [CrossRef]
  13. K. Ren, G. S. Abdoulaev, G. Bal, and A. H. Hielscher, "Algorithm for solving the equation of radiative transfer in the frequency domain," Opt. Lett. 29, 578-580 (2004). [CrossRef] [PubMed]
  14. K. Ren, G. Bal, and A. H. Hielscher, "Frequency domain optical tomography with the equation of radiative transfer," SIAM J. Sci. Comput. (USA) 28, 1463-1489 (2006). [CrossRef]
  15. S. R. Arridge and W. R. B. Lionheart, "Nonuniqueness in diffusion-based optical tomography," Opt. Lett. 23, 882-884 (1998). [CrossRef]
  16. T. O. McBride, B. W. Pogue, U. L. Österberg, and K. D. Paulsen, "Separation of absorption and scattering heterogeneities in NIR tomographic imaging of tissue," in Biomedical Topical Meetings, 2000 OSA Technical Digest Series (Optical Society of America, 2000), pp. 339-341.
  17. D. A. Boas, M. A. O'Leary, B. Chance, and A. G. Yodh, "Detection and characteriztion of optical inhomogeneities with diffuse photon density waves: a singal-to-noise analysis," Appl. Opt. 36, 75-92 (1997). [CrossRef] [PubMed]
  18. V. Toronov, E. D'Amico, D. Hueber, E. Gratton, B. Barbieri, and A. Webb, "Optimization of the signal-to-noise ratio of frequency-domain instrument for near-infrared spectro-imaging of the human brain," Opt. Express 11, 2117-2729 (2003). [CrossRef]
  19. M. J. Eppstein, F. Fedele, and J. P. Laible, "Coupled complex adjoint sensitivities for frequency-domain fluorescence tomography: Theory and vectorized imlementation," J. Comput. Phys. 187, 597-619 (2003). [CrossRef]
  20. L. G. Henyey and J. L. Greenstein, "Diffuse radiation in the galaxy," Astrophys. J. 90, 70-83 (1941). [CrossRef]
  21. A. J. Welch and M. J. C. Van Gemert, Optical-Thermal Response of Laser-Irradiated Tissue (Plenum, 1995), Chap. 6.
  22. E. E. Lewis and W. F. Miller, Computational Methods of Neutron Transport, 2nd ed. (American Nuclear Society, 1993).
  23. R. Eymard, T. Gallouet, and R. Herbin, "Finite volume methods," in Handbook of Numerical Analysis VII, P. Ciarlet and J. L. Lions, eds., 2nd ed. (North-Holland, 2000). [CrossRef]
  24. Y. Saad and M. H. Schultz, "GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems," SIAM (Soc. Ind. Appl. Math) J. Sci. Stat. Comput. 7, 856-869 (1986).
  25. T. Tao, Y. Chen, J. Zhang, X. Intes, and B. Chance, "Analysis on performance and optimization of frequency-domain near-infrared instruments," J. BioMed. Opt. 7, 643-649 (2002). [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