Abstract
The pseudospectral time-domain (PSTD) algorithm is implemented to numerically solve Maxwell's equations to obtain the optical properties of millimeter-scale random media consisting of hundreds of micron-scale dielectric scatterers. Our methodology accounts for near-field interactions and coherent interference effects that are not easily modeled using other techniques. In this paper, we show that the total scattering cross-section (TSCS) of a cluster of closely packed scatterers exhibits a high-frequency oscillation structure, similar to noise. Furthermore, the characteristics and origin of such noise-like oscillation structure have been analyzed and determined based on first-principles.
Highlights
In this paper, we report the observation and analysis of the high-frequency oscillation of the total scattering cross-section (TSCS) spectrum of random media consisting of hundreds of micron-scale dielectric scatterers
We show that the total scattering cross-section (TSCS) of a cluster of closely packed scatterers exhibits a high-frequency oscillation structure, similar to noise
We report the observation and analysis of the high-frequency oscillation of the total scattering cross-section (TSCS) spectrum of random media consisting of hundreds of micron-scale dielectric scatterers
Summary
We report the observation and analysis of the high-frequency oscillation of the total scattering cross-section (TSCS) spectrum of random media consisting of hundreds of micron-scale dielectric scatterers. This high-frequency oscillation resembles noise and can be overlooked in optical experiments. Most research attempts to determine the optical properties of macroscopic random media involve certain degree of heuristic approximations based on radiative transfer theory, including Monte Carlo simulations that assume independent scattering of point-like scatterers, and the diffusion approximation where light is treated as a diffusion problem [1,2,3,4,5,6]. Optical characteristics of macroscopic random media have been studied by numerically solving Maxwell’s equations, rigorously accounting for multiply scattered light. No doubt that a rich amount of information is contained in the multiply scattered light, which begs the question: What information can be further extracted from macroscopic scattered light? To answer this question, an analysis based on fundamental electromagnetic theory that accounts for near-field interactions and coherent effects is indispensable
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