Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Transmission delay times of localized waves .
AU - Schomerus, H.
PY - 2001
Y1 - 2001
N2 - 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 N=1 propagating modes, � and �� are identical to half the reflection delay time of each end of the waveguide. In this case the distribution function P(�) 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.
AB - 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 N=1 propagating modes, � and �� are identical to half the reflection delay time of each end of the waveguide. In this case the distribution function P(�) 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.
M3 - Journal article
VL - 64
SP - 026606
JO - Physical Review E
JF - Physical Review E
SN - 1550-2376
ER -