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
Part of the following topical collections:
  1. Optics in Materials, Energy and Related Technologies 2018


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′.


Diffusion equation Optical-property coefficients Photo-density wave experiment 



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.


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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

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