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Single-mode delay time statistics for scattering by a chaotic cavity

K. J. H. van Bemmel·H. Schomerus·C. W. J. Beenakker
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Abstract

We investigate the low-frequency dynamics for transmission or reflection of a wave by a cavity with chaotic scattering. We compute the probability distribution of the phase derivative phi'=d phi/d omega of the scattered wave amplitude, known as the single-mode delay time. In the case of a cavity connected to two single-mode waveguides we find a marked distinction between detection in transmission and in reflection: The distribution P(phi') vanishes for negative phi' in the first case but not in the second case.

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K. J. H. van Bemmel, H. Schomerus, C. W. J. Beenakker. 2000-09-04. Single-mode delay time statistics for scattering by a chaotic cavity. https://doi.org/10.1238/physica.topical.090a00278

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