A Stochastic Green’s Function - Integral Equation Method for Communication in Diffuse Multipath Environments

We propose a rigorous and versatile mathematical model in prediction and exploration of information transmission through complex diffuse multipath environments. The work investigates an innovative theoretical solution to Maxwell’s Equations in the diffuse multipath media. The fundamental solution, named stochastic Green’s function, rigorously integrates the incoherent (diffuse multipath) and coherent (specular direct paths) propagations within a novel compact form. Furthermore, by incorporating the component-specific information with the fading statistics, the work accomplishes an elegant and systematic framework for the statistical analysis and over-the-air testing of wireless communication. The theoretical investigation is evaluated and validated through representative experiments.