Geometry of information propagation in massively dense ad hoc networks
Abstract
Using the fact that effective wireless range decraise in inverse function of local traffic density, we show that a variable traffic density impacts the curvature of paths in a dense wireless ad hoc network the same way a variable optical density bends light paths. We set up the general laws that paths must satisfy in presence of traffic flow density. We quantify the effect and we give some example of configurations treated analytically.