title: Single realization stochastic FDTD for weak scattering waves in biological random media.
abstract: This paper introduces an iterative scheme to overcome the unresolved issues presented in S-FDTD (stochastic finite-difference time-domain) for obtaining ensemble average field values recently reported by Smith and Furse in an attempt to replace the brute force multiple-realization also known as Monte-Carlo approach with a single-realization scheme. Our formulation is particularly useful for studying light interactions with biological cells and tissues having sub-wavelength scale features. Numerical results demonstrate that such a small scale variation can be effectively modeled with a random medium problem which when simulated with the proposed S-FDTD indeed produces a very accurate result.
authors.affiliation: Robert R. McCormick School of Engineering and Applied Science, Northwestern University, Department of Biomedical Engineering, 2145 Sheridan Rd., Evanston, Illinois 60208-3107.
authors.forename: Tengmeng
authors.initials: T
authors.lastname: Tan
authors.affiliation: Robert R. McCormick School of Engineering and Applied Science, Northwestern University, Department of Electrical Engineering and Computer Science, 2145 Sheridan Rd. Evanston, IL 60208-3118.
authors.forename: Allen
authors.initials: A
authors.lastname: Taflove
authors.affiliation: Robert R. McCormick School of Engineering and Applied Science, Northwestern University, Department of Biomedical Engineering, 2145 Sheridan Rd., Evanston, Illinois 60208-3107.
authors.forename: Vadim
authors.initials: V
authors.lastname: Backman
keywords: FDTD; PDE; S-FDTD; S-PDE; biological cells and tissues; iterative; random media; statistical fluctuations; sub-wavelength