A Wave Automaton for Time-Dependent Wave Propagation in Random Media
C. Vanneste, Patrick Sebbah, Didier Sornette · Europhysics Letters (EPL) · 1992
A new model is constructed for studying time-dependent properties of wave propagation in random media. Similarly to a cellular automaton, local rules control the dynamical propagation of the waves which exactly obeys a unitarity condition, thus conserving the norm of the wave function and the energy at all times. By reaching times of order 10 6 times the inverse bandwidth in large systems (512 × 512), the model is used to study the transient dynamics in two dimensions of an impulse which becomes localized at large times.