Frequency dependence of scattering by dense media of small particles based on Monte Carlo simulation of Maxwell equations

The frequency dependence of extinction and scattering by geophysical medium at microwave frequencies is an important scattering topic because multifrequency measurements are used in remote sensing applications. Classical independent scattering theory states that if the particles are small, scattering is proportional to the fourth power in three-dimensional (3D) scattering and the third power in two-dimensional (2D) scattering. In this paper, the authors present Monte Carlo simulation results of dense media scattering. The dense media consists of densely packed small particles. Solutions are based on rigorous methods of generating dense media and subsequent numerical solutions of Maxwell's equation. Numerical simulations indicate that the frequency dependence of densely packed sticky particles is weaker than independent scattering.