Light diffusion in N-layered turbid media: frequency and time domains

Area of Science:

• Biomedical Optics
• Light Scattering
• Photonics

Background:

• Accurate modeling of light diffusion in turbid media is essential for applications like optical imaging and sensing.
• Existing methods often face challenges with complex layered structures and time-resolved measurements.

Purpose of the Study:

• To develop accurate analytical solutions for time-resolved light propagation in N-layered turbid media.
• To provide a fast and efficient method for calculating light reflectance in layered scattering materials.

Main Methods:

• Application of Fourier and Laplace transforms to derive diffusion equations in frequency and time domains.
• Validation of solutions through inverse Fourier transform calculations and comparison with Monte Carlo simulations.
• Development of a specific analytical solution for two-layered media with matched optical properties.

Main Results:

• Validated analytical solutions for N-layered turbid media with high accuracy (differences < 10^-6).
• Demonstrated good agreement between analytical solutions and Monte Carlo simulations.
• Derived a fast (approx. 1 ms) analytical solution for time-domain reflectance in two-layered media.

Conclusions:

• The developed analytical methods provide accurate and efficient solutions for light diffusion problems in layered turbid media.
• The findings significantly advance the capability for real-time analysis of time-resolved optical signals in complex biological tissues.