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Wave Propagation in Nontrivial Backgrounds

Shahar Hod
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Abstract

It is well known that waves propagating in a nontrivial medium develop ``tails''. However, the exact form of the late-time tail has so far been determined only for a narrow class of models. We present a systematic analysis of the tail phenomenon for waves propagating under the influence of a {\it general} scattering potential $V(x)$. It is shown that, generically, the late-time tail is determined by spatial {\it derivatives} of the potential. The central role played by derivatives of the scattering potential appears not to be widely recognized. The analytical results are confirmed by numerical calculations.

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Shahar Hod. 2000-08-01. Wave Propagation in Nontrivial Backgrounds. https://doi.org/10.1088/0264-9381%2F18%2F7%2F313

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