Advertisement

Optical-property coefficient estimation of bulky medium in experiments with a succinctly analytical calculation

  • Min-Cheng Pan
  • Jhao-Ming Yu
  • Liang-Yu Chen
  • Ya-Ting Liang
  • Min-Chun PanEmail author
Article
  • 9 Downloads
Part of the following topical collections:
  1. Optics in Materials, Energy and Related Technologies 2018

Abstract

Diffuse optical imaging enables to reconstruct distribution of optical properties, absorption and scattering coefficients, in tissue for breast cancer detection based on diffusion equation with the help of the initial guess obtained from measured data. To estimate the initial guess of the optical-property coefficients, an analytical solution of diffusion equation can be used and compared with the measured data. The analytical solution for a homogeneous infinite medium can be obtained in the frequency domain, expressing that the photon intensity and the phase lag relative to the distance between source and detector in a linear relationship. In this study, a succinct calculation using the trigonometric relation is proposed to estimate the optical-property coefficients. A tank-type and a cylinder Lipovenoes phantoms with two concentrations of 1.25% and 2.5% are employed and measured for verification. It is found that the method proposed here shows better results and results in estimation errors of 0–14.81% for μa and 20–42% for μs′.

Keywords

Diffusion equation Optical-property coefficients Photo-density wave experiment 

Notes

Acknowledgements

This research was financially supported by the Ministry of Science and Technology in Taiwan through grants MOST 105-2221-E-008-045 and MOST 106-2221-E-008-046.

Compliance with ethical standards

Conflict of interest

The authors declare that there are no conflicts of interest related to this article.

References

  1. Chun Pan, M., Chun, H., Chen, M., Pan, C., Shyr, Y.M.: Near infra-red tomographic imaging system based on a highly angular spatial-resolution mechanism—design, calibration, and performance. Measurement 42(3), 377–389 (2009)CrossRefGoogle Scholar
  2. Cui, Z., Ke, X., Li, E., Liu, T.: Electronic and optical properties of titanium-doped GaN nanowires. Mater. Des. 96, 409–415 (2016)CrossRefGoogle Scholar
  3. Cui, Z., Li, E., Ke, X., Zhao, T., Yang, Y., Ding, Y., Liu, T., Qu, Y., Xu, Sh: Adsorption of alkali-metal atoms on GaN nanowires photocathode. Appl. Surf. Sci. 423, 829–835 (2017)ADSCrossRefGoogle Scholar
  4. Dehaes, M., Grant, P.E., Sliva, D.D., Roche-Labarbe, N., Pienaar, R., Boas, D.A., Franceschini, M.A., Selb, J.: Assessment of the frequency-domain multi-distance method to evaluate the brain optical properties: Monte Carlo simulations from neonate to adult. Biomed. Opt. Express 2, 552–567 (2011)CrossRefGoogle Scholar
  5. Fantini, S., Franceschini, M.A., Fishkin, J.B., Barbieri, B., Gratton, E.: Quantitative determination of the absorption spectra of chromophores in strongly scattering media: a light-emitting-diode based technique. Appl. Opt. 33, 5204–5213 (1994a)ADSCrossRefGoogle Scholar
  6. Fantini, S., Franceschini, M.A., Fishkin, J.B., Barbieri, B., Gratton, E.: Semi-infinite-geometry boundary problem for light migration in highly scattering media: a frequency-domain study in the diffusion approximation. J. Opt. Soc. Am. B 11, 2128–2138 (1994b)ADSCrossRefGoogle Scholar
  7. Fishkin, J.B., Gratton, E.: Propagation of photon-density waves in strongly scattering media containing an absorbing semi-infinite plane bounded by a straight edge. J. Opt. Soc. Am. A 10, 127–140 (1993)ADSCrossRefGoogle Scholar
  8. Hallacoglu, B., Sassaroli, A., Fantini, S.: Optical characterization of two-layered turbid media for non-invasive, absolute oximetry in cerebral and extracerebral tissue. PLoS ONE 8, e64095 (2013)ADSCrossRefGoogle Scholar
  9. Konovalov, A.B., Genina, E.A., Bashkatov, A.N.: Diffuse optical mammotomography: state-of-the-art and prospects. J. Biomed. Photon. Eng. 2, 020202 (2016)Google Scholar
  10. Michels, R., Foschum, F., Kienle, A.: Optical properties of fat emulsions. Opt. Express 16, 5907–5925 (2008)ADSCrossRefGoogle Scholar
  11. Pifferi, A., Torricelli, A., Taroni, P., Cubeddu, R.: Reconstruction of absorber concentrations in a two-layer structure by use of multidistance time-resolved reflectance spectroscopy. Opt. Lett. 26, 1963–1965 (2001)ADSCrossRefGoogle Scholar
  12. Pogue, B.W., Paulsen, K.D., Abele, C., Kaufman, H.: Calibration of near-infrared frequency-domain tissue spectroscopy for absolute absorption coefficient quantitation in neonatal head-simulating phantoms. J. Biomed. Opt. 5(2), 185–193 (2000)ADSCrossRefGoogle Scholar
  13. Selb, J., Ogden, T.M., Dubb, J., Fang, Q., Boas, D.A.: Comparison of a layered slab and an atlas head model for Monte Carlo fitting of time-domain near-infrared spectroscopy data of the adult head. J. Biomed. Opt. 19, 016010 (2014)ADSCrossRefGoogle Scholar
  14. Spichtig, S., Hornung, R., Brown, D.W., Haensse, D., Wolf, M.: Multifrequency frequency-domain spectrometer for tissue analysis. Rev. Sci. Instrum. 80, 024301 (2009)ADSCrossRefGoogle Scholar
  15. Yu, J.M., Cheng Pan, M., Chun Pan, M.: Design for source-and-detector configuration of a ring-scanning-based near-infrared optical imaging system. Opt. Eng. 53, 011002 (2014)ADSCrossRefGoogle Scholar
  16. Zhang, X.: Instrumentation in diffuse optical imaging. Photonics 1(1), 9–32 (2014)CrossRefGoogle Scholar
  17. Zimmermann, B.B., Fang, Q., Boas, D.A., Carp, S.A.: Frequency domain near-infrared multiwavelength imager design using high-speed, direct analog-to-digital conversion. J. Biomed. Opt. 21, 016010 (2016)ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Electronic EngineeringTung-Nan UniversityNew Taipei CityTaiwan, ROC
  2. 2.Department of Mechanical EngineeringNational Central UniversityTaoyuan CityTaiwan, ROC
  3. 3.Department of Biomedical Sciences and EngineeringNational Central UniversityTaoyuan CityTaiwan, ROC

Personalised recommendations