Development of traceable measurement of the diffuse optical properties of solid reference standards for biomedical optics at National Institute of Standards and Technology
Paul Lemaillet, Jean-Pierre Bouchard, and David W. Allen
Paul Lemaillet, Jean-Pierre Bouchard, and David W. Allen, "Development of traceable measurement of the diffuse optical properties of solid reference standards for biomedical optics at National Institute of Standards and Technology," Appl. Opt. 54, 6118-6127 (2015)
The development of a national reference instrument dedicated to the measurement of the scattering and absorption properties of solid tissue-mimicking phantoms used as reference standards is presented. The optical properties of the phantoms are measured with a double-integrating sphere setup in the steady-state domain, coupled with an inversion routine of the adding–doubling procedure that allows for the computation of the uncertainty budget for the measurements. The results are compared to the phantom manufacturer’s values obtained by a time-resolved approach. The results suggest that the agreement between these two independent methods is within the estimated uncertainties. This new reference instrument will provide optical biomedical research laboratories with reference values for absolute diffuse optical properties of phantom materials.
Paul Lemaillet, Catherine C. Cooksey, Jeeseong Hwang, Heidrun Wabnitz, Dirk Grosenick, Lin Yang, and David W. Allen Biomed. Opt. Express 9(1) 55-71 (2018)
Zachary H. Levine, Richelle H. Streater, Anne-Michelle R. Lieberson, Adam L. Pintar, Catherine C. Cooksey, and Paul Lemaillet Opt. Express 25(22) 26728-26746 (2017)
John W. Pickering, Scott A. Prahl, Niek van Wieringen, Johan F. Beek, Henricus J. C. M. Sterenborg, and Martin J. C. van Gemert Appl. Opt. 32(4) 399-410 (1993)
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, wall reflectance of the reflectance sphere; , wall reflectance of the transmittance sphere; , absorption coefficient of the sample; , reduced scattering coefficient of the sample. The measurements are at and . Experiment numbers refer to Figs. 2 and 3. The measured voltages of the calibration experiments numbered here are the ones used in the measurement of the optical parameters of the sample.
Table 2.
Uncertainty Budget of the Optical Parameters of the Sample at a
Uncertainty Contributions
Absolute Uncertainties ()
Relative Uncertainties (%)
Uncertainty Components
Type B Uncertainties
Reflectance sphere
0.58
0
0
0
0
0.058
0
0
0
0
0.058
0
0
0
0
0.058
0
0
0
0
0.002
0.13
0.13
0.02
0
0
0
0
0.002
0.66
0.60
Transmittance sphere
0.58
0.058
0.024
0.058
0.037
0.058
0.002
0.095
0.02
0.002
0.016
Adding Doubling
0.0058
0.11
0.11
0.006
0.75
0.30
0.015
0.053
0.018
5.6
0.0005
0.012
1.8
1.2
Total Type B Uncertainty,
0.055
2.0
5.7
Repeatability
0.011
0.010
Reproducibility,
0.0098
0.58
1.0
Total Type A Uncertainty,
0.0098
0.58
1.0
Combined,
0.056
2.1
5.8
Expanded, ()
0.11
4.3
12
Experiment number 5, calibration experiment number 3 for both the reflectance and transmittance spheres. Sample optical parameters are and . The standard deviation of the input of the experimental parameters is .
Table 3.
Uncertainty Budget of the Optical Parameters of the Sample at a
Absolute Uncertainties ()
Relative Uncertainties (%)
Uncertainty Components
Type B Uncertainties
Reflectance sphere
0.58
0
0
0
0
0.058
0
0
0
0
0.058
0
0
0
0
0.058
0
0
0
0
0.002
0.13
0.14
0.02
0
0
0
0
0.002
0.71
0.62
Transmittance sphere
0.58
0.058
0.030
0.058
0.046
0.058
0.002
0.11
0.011
0.02
0.002
0.020
Adding Doubling
0.0058
0.11
0.11
0.006
0.75
0.28
0.015
0.051
0.017
5.6
0.0005
0.011
1.8
1.2
Total Type B Uncertainty,
0.053
2.2
5.8
Repeatability
0.029
0.026
Reproducibility,
0.0083
0.67
0.90
Total Type A Uncertainty,
0.0083
0.67
0.90
Combined,
0.054
2.2
5.8
Expanded, ()
0.11
4.3
12
Experiment number 6, calibration experiment number 4 for the reflectance sphere and number 2 for the transmittance sphere. The sample optical parameters are and . Standard deviation of the input of the experimental parameters is .
, wall reflectance of the reflectance sphere; , wall reflectance of the transmittance sphere; , absorption coefficient of the sample; , reduced scattering coefficient of the sample. The measurements are at and . Experiment numbers refer to Figs. 2 and 3. The measured voltages of the calibration experiments numbered here are the ones used in the measurement of the optical parameters of the sample.
Table 2.
Uncertainty Budget of the Optical Parameters of the Sample at a
Uncertainty Contributions
Absolute Uncertainties ()
Relative Uncertainties (%)
Uncertainty Components
Type B Uncertainties
Reflectance sphere
0.58
0
0
0
0
0.058
0
0
0
0
0.058
0
0
0
0
0.058
0
0
0
0
0.002
0.13
0.13
0.02
0
0
0
0
0.002
0.66
0.60
Transmittance sphere
0.58
0.058
0.024
0.058
0.037
0.058
0.002
0.095
0.02
0.002
0.016
Adding Doubling
0.0058
0.11
0.11
0.006
0.75
0.30
0.015
0.053
0.018
5.6
0.0005
0.012
1.8
1.2
Total Type B Uncertainty,
0.055
2.0
5.7
Repeatability
0.011
0.010
Reproducibility,
0.0098
0.58
1.0
Total Type A Uncertainty,
0.0098
0.58
1.0
Combined,
0.056
2.1
5.8
Expanded, ()
0.11
4.3
12
Experiment number 5, calibration experiment number 3 for both the reflectance and transmittance spheres. Sample optical parameters are and . The standard deviation of the input of the experimental parameters is .
Table 3.
Uncertainty Budget of the Optical Parameters of the Sample at a
Absolute Uncertainties ()
Relative Uncertainties (%)
Uncertainty Components
Type B Uncertainties
Reflectance sphere
0.58
0
0
0
0
0.058
0
0
0
0
0.058
0
0
0
0
0.058
0
0
0
0
0.002
0.13
0.14
0.02
0
0
0
0
0.002
0.71
0.62
Transmittance sphere
0.58
0.058
0.030
0.058
0.046
0.058
0.002
0.11
0.011
0.02
0.002
0.020
Adding Doubling
0.0058
0.11
0.11
0.006
0.75
0.28
0.015
0.051
0.017
5.6
0.0005
0.011
1.8
1.2
Total Type B Uncertainty,
0.053
2.2
5.8
Repeatability
0.029
0.026
Reproducibility,
0.0083
0.67
0.90
Total Type A Uncertainty,
0.0083
0.67
0.90
Combined,
0.054
2.2
5.8
Expanded, ()
0.11
4.3
12
Experiment number 6, calibration experiment number 4 for the reflectance sphere and number 2 for the transmittance sphere. The sample optical parameters are and . Standard deviation of the input of the experimental parameters is .