Abstract
We investigate the effects of wave localization on the delay time (frequency sensitivity of the scattering phase shift) of a wave transmitted through a disordered waveguide. Localization results in a separation of the delay time into two independent but equivalent contributions, associated to the left and right end of the waveguide. For propagating modes, and are identical to half the reflection delay time of each end of the waveguide. In this case the distribution function in an ensemble of random disorder can be obtained analytically. For 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.
- Received 5 March 2001
DOI:https://doi.org/10.1103/PhysRevE.64.026606
©2001 American Physical Society