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Method for Calculating the Optical Diffuse Reflection Coefficient for the Ocular Fundus

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Journal of Applied Spectroscopy Aims and scope

We have developed a method for calculating the optical diffuse reflection coefficient for the ocular fundus, taking into account multiple scattering of light in its layers (retina, epithelium, choroid) and multiple refl ection of light between layers. The method is based on the formulas for optical “combination” of the layers of the medium, in which the optical parameters of the layers (absorption and scattering coefficients) are replaced by some effective values, different for cases of directional and diffuse illumination of the layer. Coefficients relating the effective optical parameters of the layers and the actual values were established based on the results of a Monte Carlo numerical simulation of radiation transport in the medium. We estimate the uncertainties in retrieval of the structural and morphological parameters for the fundus from its diffuse reflectance spectrum using our method. We show that the simulated spectra correspond to the experimental data and that the estimates of the fundus parameters obtained as a result of solving the inverse problem are reasonable.

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References

  1. L. A. Katsnel′son, V. S. Lysenko, and T. I. Balishanskoi, Clinical Atlas of Pathologies of the Ocular Fundus, 4th edn., Reprint [in Russian], GEOTAP-Media, Moscow (2013).

  2. T. V. Anaf′yanova, A. A. Volkov, and L. A. Karamchakova, Fundamental’nye Issledovaniya, 9, No. 3, 382–384 (2011).

  3. F. C. Delori and K. P. Pfl ibsen, Appl. Opt., 28, No. 6, 1061–1077 (1989).

  4. V. Nourrit, J. Denniss, M. M. K. Muqit, I. Schiessl, C. Fenerty, P. E. Stanga, and D. B. Henson, J. Fran. Ophtalmol., 33, No. 10, 686–692 (2010).

    Article  Google Scholar 

  5. D. J. Mordant, I. Al-Abboud, G. Muyo, A. Gorman, A. Sallam, P. Ritchie, A. R. Harvey, and A. I. McNaught, Eye (Lond.), 25, No. 3, 309–320 (2011).

  6. L. Gao, R. T. Smith, and T. S. Tkaczyk, Biomed. Opt. Express, 3, No. 1, 48–54 (2012).

    Article  Google Scholar 

  7. S. H. Hardarson, A. Harris, R. A. Karlsson ,G. H. Halldorsson, L. Kagemann, E. Rechtman, G. M. Zoega, T. Eysteinsson, J. A. Benediktsson, A. Thorsteinsson, P. C. Jensen, J. Beach, and E. Stefansson, IOVS, 47, No. 11, 5011–5016 (2006).

    Google Scholar 

  8. J. C. Ramella-Roman, S. A. Mathews, H. Kandimalla, A. Nabili, D. D. Duncan, S. A. D’Anna, S. M. Shah, and Q. D. Nguyen, Opt. Express, 16, No. 9, 6170–6182 (2008).

    Article  ADS  Google Scholar 

  9. D. J. Mordant, I. Al-Abboud, G. Muyo, A. Gorman, A. Sallam, P. Rodmell, J. Crowe, S. Morgan, P. Ritchie, A. R. Harvey, and A. I. McNaught, IOVS, 52, No. 5, 2851–2859 (2011).

    Google Scholar 

  10. M. Hammer, E. Thamm, and D. Schweitzer, Phys. Med. Biol., 47, No. 17, N233–N238 (2002).

    Article  ADS  Google Scholar 

  11. M. Hammer and D. Schweitzer, Phys. Med. Biol., 47, No. 2, 179–191 (2002).

    Article  Google Scholar 

  12. V. Diaconu, Appl. Opt., 48, No. 10, D52–D61 (2009).

    Article  ADS  Google Scholar 

  13. F. C. Delori, D. G. Goger, B. R. Hammond, D. M. Snodderly, and S. A. Burns, J. Opt. Soc. Am. A, 18, No. 6, 1212–1230 (2001).

    Article  ADS  Google Scholar 

  14. J. van de Kraats, T. T. J. M. Berendschot, S. Valen, and D. van Norren, J. Biomed. Opt., 11, No. 6, 064031-1–064031-7 (2006).

  15. R. A. Bone, B. Brener, and J. C. Gibert, Vision Res., 47, No. 26, 3259–3268 (2007).

    Article  Google Scholar 

  16. M. Sharifzadeh, P. S. Bernstein, and W. Gellermann, J. Biomed. Opt., 18, No. 11, 116001-1–116001-9 (2013).

  17. E. N. Khomyakova, S. G. Sergushev, A. A. Ryabtseva, and O. M. Andryukhina, Al’manakh Klin. Meditsiny, No. 29, 14–22 (2013).

  18. C. Creuzot-Garcher, P. Koehrer, C. Picot, S. Aho, and A. M. Bron, IOVS, 55, No. 5, 2941–2946 (2014).

    Google Scholar 

  19. Y. Guo, G. Yao, B. Lei, and J. Tan, J. Opt. Soc. Am. A, 25, No. 2, 304–311 (2008).

    Article  ADS  Google Scholar 

  20. S. A. Lisenko, M. M. Kugeiko, V. A. Firago, and A. I. Kubarko, Opt. Spektrosk., 117, No. 3, 157–162 (2014).

    Article  Google Scholar 

  21. S. A. Lisenko and M. M. Kugeiko, Zh. Prikl. Spektrosk., 80, No. 3, 432–441 (2013) [S. A. Lisenko and M. M. Kugeiko, J. Appl. Spectrosc., 80, 419–428 (2013) (English translation)].

  22. S. A. Lisenko and M. M. Kugeiko, Izmerit. Tekhnika, No. 11, 68–73 (2013).

  23. S. A. Lisenko, M. M. Kugeiko, V. A. Firago, and A. N. Sobchuk, Zh. Prikl. Spektrosk., 81, No. 1, 120–126 (2014) [S. A. Lisenko, M. M. Kugeiko, V. A. Firago, and A. N. Sobchuk, J. Appl. Spectrosc., 81, 118–126 (2014) (English translation)].

  24. S. A. Lisenko, M. M. Kugeiko, V. A. Firago, and A. N. Sobchuk, Kvant. Élektron., 44, No. 1, 69–75 (2014).

    Article  Google Scholar 

  25. S. A. Lisenko and M. M. Kugeiko, Kvant. Élektron., 44, No. 3, 252–258 (2014).

    Article  Google Scholar 

  26. L. Wang, S. L. Jacques, and L. Zheng, Comput. Method. Program. Biomed., 47, 131–146 (1995).

    Article  Google Scholar 

  27. V. V. Sobolev, Radiant Energy Transport in Atmospheres of Stars and Planets [in Russian], Gostekhizdat, Moscow (1959).

    Google Scholar 

  28. N. P. A. Zagers and D. van Norren, J. Opt. Soc. Am. A, 21, No. 12, 2257–2268 (2004).

    Article  ADS  Google Scholar 

  29. E. A. Boettner and R. Wolter, IOVS, 1, No. 6, 776–783 (1962).

    Google Scholar 

  30. T. J. Farrell, M. S. Patterson, and B. C. Wilson, Med. Phys., 19, No. 4, 879–888 (1992).

    Article  Google Scholar 

  31. G. Zonios and A. Dimou, Opt. Express, 14, No. 19, 8661–8674 (2006).

    Article  ADS  Google Scholar 

  32. É. P. Zege, O. V. Bushmakova, I. L. Katsev, and N. V. Konovalov, Zh. Prikl. Spektrosk., 30, No. 5, 900–907 (1979) [É. P. Zege, O. V. Bushmakova, I. L. Katsev, and N. V. Konovalov, J. Appl. Spectrosc., 30, 646–652 (1979) (English translation)].

  33. W. G. Egan and T. W. Hilgerman, Optical Properties of Inhomogeneous Materials, Academic Press, New York (1979).

    Google Scholar 

  34. L. G. Sokoletsky, A. A. Kokhanovsky, and F. Shen, Appl. Opt., 52, No. 35, 8471–8483 (2013).

    Article  ADS  Google Scholar 

  35. M. Hammer, A. Roggan, D. Schweitzer, and G. Müller, Phys. Med. Biol., 40, No. 6, 963–978 (1995).

    Article  Google Scholar 

  36. B. G. Yust, L. C. Mimun, and D. K. Sardar, Lasers Med. Sci., 27, No. 2, 413–422 (2012).

    Article  Google Scholar 

  37. A. N. Bashkatov, E. A. Genina, and V. V. Tuchin, J. Innov. Opt. Health Sci., 4, No. 1, 9–38 (2011).

    Article  Google Scholar 

  38. S. A. Prahl, http://omlc.ogi.edu/spectra/hemoglobin/index.html.

  39. S. Jacques, http://omlc.org/spectra/melanin/mua.html.

  40. A. N. Bashkatov, É. A. Genina, V. I. Kochubei, and V. V. Tuchin, Opt. Spektrosk., 109, No. 2, 226–234 (2010).

    Google Scholar 

  41. J. V. Kristjansdottir, S. H. Hardarson, A. R. Harvey, O. B. Olafsdottir, T. S. Eliasdottir, and E. Stefansson, IOVS, 54, No. 5, 3234–3239 (2013).

    Google Scholar 

  42. A. Alm and A. Bill, Acta Physiol. Scand., 80, No. 1, 19–28 (1970).

    Article  Google Scholar 

  43. A. Talsma, B. Chance, and R. Graaff, J. Opt. Soc. Am. A, 18, No. 4, 932–939 (2001).

    Article  ADS  Google Scholar 

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Correspondence to S. A. Lisenko.

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Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 83, No. 3, pp. 419–429, May–June, 2016.

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Lisenko, S.A., Kugeiko, M.M. Method for Calculating the Optical Diffuse Reflection Coefficient for the Ocular Fundus. J Appl Spectrosc 83, 412–421 (2016). https://doi.org/10.1007/s10812-016-0303-4

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