A stochastic model for wave localization in one-dimensional disordered structures
作者： Yang Yang , Douglas M. Photiadis
DOI: 10.1121/1.421239
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摘要: This paper presents a probabilistic study of the effects structural irregularity on wave propagation along an infinite 1-D chain. A general integral equation method based Markov chain theory is used to determine phase probability density function (pdf) at scatterers distributed irregularly The could be atoms in one-dimensional crystal, or ribs flat plate membrane. derived for pdf simplified considerably when are completely randomly quasi-periodically. In these cases, equations may asymptotically solved functions limit weak strong scattering; localization factors then obtained. present approach quite and directly applicable any disordered system consisting identical that arranged according distribution function. validity asymptotic solutions examined verified by comparing against existing analytical simple atomic mechanical systems.
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