OSA's Digital Library

Biomedical Optics Express

Biomedical Optics Express

  • Editor: Joseph A. Izatt
  • Vol. 3, Iss. 10 — Oct. 1, 2012
  • pp: 2395–2404

Retrieving the optical parameters of biological tissues using diffuse reflectance spectroscopy and Fourier series expansions. I. theory and application

Aarón A. Muñoz Morales and Sergio Vázquez y Montiel  »View Author Affiliations


Biomedical Optics Express, Vol. 3, Issue 10, pp. 2395-2404 (2012)
http://dx.doi.org/10.1364/BOE.3.002395


View Full Text Article

Enhanced HTML    Acrobat PDF (2385 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The determination of optical parameters of biological tissues is essential for the application of optical techniques in the diagnosis and treatment of diseases. Diffuse Reflection Spectroscopy is a widely used technique to analyze the optical characteristics of biological tissues. In this paper we show that by using diffuse reflectance spectra and a new mathematical model we can retrieve the optical parameters by applying an adjustment of the data with nonlinear least squares. In our model we represent the spectra using a Fourier series expansion finding mathematical relations between the polynomial coefficients and the optical parameters. In this first paper we use spectra generated by the Monte Carlo Multilayered Technique to simulate the propagation of photons in turbid media. Using these spectra we determine the behavior of Fourier series coefficients when varying the optical parameters of the medium under study. With this procedure we find mathematical relations between Fourier series coefficients and optical parameters. Finally, the results show that our method can retrieve the optical parameters of biological tissues with accuracy that is adequate for medical applications.

© 2012 OSA

OCIS Codes
(170.7050) Medical optics and biotechnology : Turbid media
(290.3200) Scattering : Inverse scattering
(170.6935) Medical optics and biotechnology : Tissue characterization

ToC Category:
Optics of Tissue and Turbid Media

History
Original Manuscript: May 24, 2012
Revised Manuscript: June 23, 2012
Manuscript Accepted: June 30, 2012
Published: September 5, 2012

Citation
Aarón A. Muñoz Morales and Sergio Vázquez y Montiel, "Retrieving the optical parameters of biological tissues using diffuse reflectance spectroscopy and Fourier series expansions. I. theory and application," Biomed. Opt. Express 3, 2395-2404 (2012)
http://www.opticsinfobase.org/boe/abstract.cfm?URI=boe-3-10-2395


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. T. J. Farrell, M.S Patterson, and B. Wilson, “A diffusion theory model of spatially resolved, steady-state diffuse reflectance for the noninvasive determination of tissue optical properties in vivo,” Med. Phys.19(4), 879–896 (1992). [CrossRef] [PubMed]
  2. E. Vitkin, V. Turzhitsky, L. Qiu, L. Gou, I. Itzkan, E. B. Hanlon, and L. T. Perelman “Photon diffusion near the point of entry in anisotropically scattering turbid media,” Nat. Commun.2, 587 (2011). [CrossRef] [PubMed]
  3. V. Turzhitsky, A. Radosevich, J. D. Rogers, A. Taflove, and V. Backman “A predictive model of backscattering at subdiffusion length scale,” Biomed. Opt. Express1, 1034–1046 (2010). [CrossRef]
  4. I. Seo, C. K. Hayakawa, and V. Venugopalan “Radiative transport in the delta-P1 approximation for semi-infinite turbid media,” Med. Phys.35(2), 681–693 (2008). [CrossRef] [PubMed]
  5. E. L. Hull and T. H. Foster “Steady-state reflectance spectroscopy in the P-3 approximation,” J. Opt. Soc. Am. A18(3), 584–599 (2001). [CrossRef]
  6. B. Morales Cruzado and S. Vázquez y Montiel, “Obtención de los parámetros ópticos de la piel usando algoritmos genéticos y MCML,” Rev. Mex. Fis.57, 375–381. (2011).
  7. R. Reif, O. A. Amar, and I. J. Bigio, “Analytical model of light reflectance for extraction of the optical properties in small volumes of turbid media,” Appl. Opt.46(32) 7317–7328 (2007). [CrossRef] [PubMed]
  8. J. S. Walker, Fourier Analysis (Oxford University Press, 1988), pp. 5–28.
  9. L. H. Wang and S. L. Jacques, “Hybrid model of Monte Carlo simulation and diffusion theory for light reflectance by turbid media,” J. Opt. Soc. Am. A10, 1746–1752. (1993). [CrossRef]
  10. J. Qin and R. Lu, “Monte Carlo simulation for quantification of light transport features in apples,” Comput. Electron. Agri.68, 44–51 (2009). [CrossRef]
  11. I. V. Meglinski and S. J. Matcher, “Computer simulation of the skin reflectance spectra,” Comput. Meth. Programs Bio.70, 179–186 (2003). [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