Schomerus, H. (2001) Transmission delay times of localized waves . Physical Review E, 64. 026606. ISSN 1550-2376
We investigate the effects of wave localization on the delay time Ï� (frequency sensitivity of the scattering phase shift) of a wave transmitted through a disordered waveguide. Localization results in a separation Ï�=Ï�+Ï�â�² of the delay time into two independent but equivalent contributions, associated to the left and right end of the waveguide. For N=1 propagating modes, Ï� and Ï�â�² are identical to half the reflection delay time of each end of the waveguide. In this case the distribution function P(Ï�) in an ensemble of random disorder can be obtained analytically. For N>1 propagating modes the distribution function can be approximated by a simple heuristic modification of the single-channel problem. We find a strong correlation between channels with long reflection delay times and the dominant transmission channel.
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