A wave automaton for time-dependent wave propagation in random media

C. Vanneste; P. Sebbah; D. Sornette

doi:10.1209/0295-5075/17/8/009

A wave automaton for time-dependent wave propagation in random media

C. Vanneste, P. Sebbah, D. Sornette

Université Côte d'Azur

Research output: Contribution to journal › Letter › peer-review

22 Scopus citations

Abstract

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 10⁶ 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.

Original language	English
Pages (from-to)	715-720
Number of pages	6
Journal	EPL
Volume	17
Issue number	8
DOIs	https://doi.org/10.1209/0295-5075/17/8/009
State	Published - Feb 1992
Externally published	Yes

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A wave automaton for time-dependent wave propagation in random media

Abstract

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