Skip to main content
Log in

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

  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

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′.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  • 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)

    Article  Google Scholar 

  • Cui, Z., Ke, X., Li, E., Liu, T.: Electronic and optical properties of titanium-doped GaN nanowires. Mater. Des. 96, 409–415 (2016)

    Article  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • 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)

    Article  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • 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 

  • Michels, R., Foschum, F., Kienle, A.: Optical properties of fat emulsions. Opt. Express 16, 5907–5925 (2008)

    Article  ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • Spichtig, S., Hornung, R., Brown, D.W., Haensse, D., Wolf, M.: Multifrequency frequency-domain spectrometer for tissue analysis. Rev. Sci. Instrum. 80, 024301 (2009)

    Article  ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • Zhang, X.: Instrumentation in diffuse optical imaging. Photonics 1(1), 9–32 (2014)

    Article  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

Download references

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.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Min-Chun Pan.

Ethics declarations

Conflict of interest

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

Additional information

This article is part of the Topical Collection on Optics in Materials, Energy and Related Technologies 2018.

Guest Edited by Yen-Hsun Su, Songnan Qu, Yiting Yu, Wei Zhang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Pan, MC., Yu, JM., Chen, LY. et al. Optical-property coefficient estimation of bulky medium in experiments with a succinctly analytical calculation. Opt Quant Electron 51, 33 (2019). https://doi.org/10.1007/s11082-019-1747-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11082-019-1747-6

Keywords

Navigation