Wave interactions in localizing media - a coin with many faces

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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Review submitted to Intl. Journal of Bifurcation and Chaos Special Issue edited by G. Nicolis, M. Robnik, V. Rothos and Ch. Sk

Scientific paper

10.1142/S0218127411029665

A variety of heterogeneous potentials are capable of localizing linear non-interacting waves. In this work, we review different examples of heterogeneous localizing potentials which were realized in experiments. We then discuss the impact of nonlinearity induced by wave interactions, in particular its destructive effect on the localizing properties of the heterogeneous potentials.

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