Single realization stochastic FDTD for weak scattering waves in biological random media.

Area of Science:

• Computational electromagnetics
• Biophotonics
• Optical modeling

Background:

• Stochastic finite-difference time-domain (S-FDTD) methods face challenges in accurately calculating ensemble average fields.
• Existing brute-force Monte Carlo approaches require multiple simulations, increasing computational cost.
• Modeling sub-wavelength features in biological tissues necessitates efficient simulation techniques.

Purpose of the Study:

• To introduce an iterative scheme that resolves issues in S-FDTD for ensemble average field calculations.
• To provide a single-realization alternative to the computationally intensive Monte Carlo method.
• To enhance the study of light interactions with biological cells and tissues at sub-wavelength scales.

Main Methods:

• Development of a novel iterative scheme for S-FDTD simulations.
• Modeling small-scale variations in biological media as a random medium problem.
• Simulation of the proposed S-FDTD scheme for validation.

Main Results:

• The proposed iterative scheme effectively overcomes unresolved issues in S-FDTD.
• The method accurately computes ensemble average field values using a single-realization approach.
• Numerical results confirm the accurate modeling of sub-wavelength scale variations in biological tissues.

Conclusions:

• The developed iterative S-FDTD scheme offers an efficient and accurate alternative to Monte Carlo methods.
• This formulation is highly effective for simulating light-tissue interactions at the sub-wavelength level.
• The approach accurately models random medium problems relevant to biological systems.