Dependency of crossover point on absorption changes in bilayer diffusion reflection measurements

双层扩散反射测量中交叉点对吸收变化的依赖性

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作者:Channa Shapira, Yuval Yedvav, Hamootal Duadi, Haim Taitelbaum, Dror Fixler

Aim

For a bilayer opaque substance where the attenuation of the upper layer is larger than the attenuation of the lower layer, the DR crossover point ( CpCp<math> <mrow><msub><mi>C</mi> <mi>p</mi></msub> </mrow> </math> ) is location where the photons coming from the bottom layer start affecting the DR. We aim to study the dependency of the Cp<math> <mrow><msub><mi>C</mi> <mi>p</mi></msub> </mrow> </math> on absorption changes in different layers for constant scattering and top layer thickness. Approach: Monolayer and bilayer optical tissue-like phantoms were prepared and measured using a DR system. The

Conclusion

The experimental findings support and validate the theoretical prediction describing the dependency of the Cp<math> <mrow><msub><mi>C</mi> <mi>p</mi></msub> </mrow> </math> on the square root of the ratio of the layers' absorption coefficients. In addition, a secondary breaking point is suggested to be observed experimentally at the entrance to the noise area.

Results

There is an agreement between the experiments and the simulations. Cp<math> <mrow><msub><mi>C</mi> <mi>p</mi></msub> </mrow> </math> correlates with the square root of the absorption coefficient ratio of the lower layer to the top layer.

Significance

A better understanding of diffusion reflection (DR) behavior may allow it to be used for more noninvasive applications, including the development of in vivo non-damaging techniques, especially for medical topical diagnosis and treatments. Aim: For a bilayer opaque substance where the attenuation of the upper layer is larger than the attenuation of the lower layer, the DR crossover point ( CpCp<math> <mrow><msub><mi>C</mi> <mi>p</mi></msub> </mrow> </math> ) is location where the photons coming from the bottom layer start affecting the DR. We aim to study the dependency of the Cp<math> <mrow><msub><mi>C</mi> <mi>p</mi></msub> </mrow> </math> on absorption changes in different layers for constant scattering and top layer thickness. Approach: Monolayer and bilayer optical tissue-like phantoms were prepared and measured using a DR system. The results were compared with Monte Carlo simulations. Results: There is an agreement between the experiments and the simulations. Cp<math> <mrow><msub><mi>C</mi> <mi>p</mi></msub> </mrow> </math> correlates with the square root of the absorption coefficient ratio of the lower layer to the top layer. Conclusion: The experimental findings support and validate the theoretical prediction describing the dependency of the Cp<math> <mrow><msub><mi>C</mi> <mi>p</mi></msub> </mrow> </math> on the square root of the ratio of the layers' absorption coefficients. In addition, a secondary breaking point is suggested to be observed experimentally at the entrance to the noise area.

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