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Radiative transport in the delta- approximation for semi-infinite turbid media
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10.1118/1.2828184
/content/aapm/journal/medphys/35/2/10.1118/1.2828184
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/35/2/10.1118/1.2828184

Figures

Image of FIG. 1.
FIG. 1.

Schematic of model geometry.

Image of FIG. 2.
FIG. 2.

Source and image configuration for extrapolated boundary condition employed in the approximation.

Image of FIG. 3.
FIG. 3.

Schematic of multi-staged optimization algorithm for determination of optical properties using the approximation.

Image of FIG. 4.
FIG. 4.

Experimental setup for acquisition of spatially resolved diffuse reflectance data.

Image of FIG. 5.
FIG. 5.

Prediction of spatially resolved diffuse reflectance using Monte Carlo (●), approximation (solid curve), and standard diffusion approximation (dashed curve). The optical coefficients are , , (a) , and (b) , . The lower panel of each plot shows the relative error of the and standard diffusion approximations from the Monte Carlo simulation.

Image of FIG. 6.
FIG. 6.

Spatially resolved diffuse reflectance as predicted by the approximation (curves) and Monte Carlo simulations (symbols) for pencil beam illumination. Optical properties are , , , (solid curve, ●), and 0.5 (dashed curve, ◇). The SRDR prediction from standard diffusion approximation with the same and is displayed in dotted curve. Lower plot shows the percentage error of the and SDA predictions relative to the Monte Carlo simulations.

Image of FIG. 7.
FIG. 7.

Spatially resolved diffuse reflectance measurements (●) from liquid optical phantoms with (a) , (b) , (c) , and (d) . Predictions given by the and its recovered optical properties are shown by the solid curves while those given by the SDA and its recovered optical properties are shown by the long dash curves.

Image of FIG. 8.
FIG. 8.

Spatially resolved diffuse reflectance measurements (●) from solid optical phantoms with (a) , (b) , (c) , and (d) . Predictions given by the and its recovered optical properties are shown by the solid curves while those given by the SDA and its recovered optical properties are shown by the dashed curves.

Tables

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TABLE I.

Intralipid phantom optical properties and range of s-d separations acquired in the SRDR measurements.

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TABLE II.

Siloxane phantom optical properties and range of s-d separations acquired in the SRDR measurements.

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TABLE III.

Recovered optical properties after stage 1 of the approximation-based multi-stage algorithm from SRDR measurements of Intralipid phantoms. Numbers in parenthesis represent relative error in %.

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TABLE IV.

Final results for Intralipid optical properties as recovered by the approximation-based multi-stage inversion algorithm [ (final)] from the SRDR measurements. and are determined by stage 2 while is determined by stage 3. Optical properties recovered after stage 1 of the approximation-based inversion algorithm [ (S1)] and a single-stage SDA-based inversion algorithm [SDA] are also provided for comparison. Numbers in parenthesis represent relative error in %.

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TABLE V.

Recovered optical properties after stage 1 of the approximation-based multi-stage algorithm from SRDR measurements of siloxane phantoms. Numbers in parenthesis represent relative error in %.

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TABLE VI.

Final results for siloxane optical properties as recovered by the approximation-based multi-stage inversion algorithm [ (final)] from the SRDR measurements. and are determined by stage 2 while is determined by stage 3. Optical properties recovered after stage 1 of the approximation-based inversion algorithm [ (S1)] and a single-stage SDA-based, inversion algorithm [SDA] are also provided for comparison. Numbers in parenthesis represent relative error in %.

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/content/aapm/journal/medphys/35/2/10.1118/1.2828184
2008-01-29
2014-04-21
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Radiative transport in the delta-P1 approximation for semi-infinite turbid media
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/35/2/10.1118/1.2828184
10.1118/1.2828184
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