Transmission delay times of localized waves
arXiv:cond-mat/0103113 · doi:10.1103/PhysRevE.64.026606
Abstract
We investigate the effects of wave localization on the delay time tau (frequency sensitivity of the scattering phase shift) of a wave transmitted through a disordered wave guide. Localization results in a separation tau=chi+chi' of the delay time into two independent but equivalent contributions, associated to the left and right end of the wave guide. For N=1 propagating modes, chi and chi' are identical to half the reflection delay time of each end of the wave guide. In this case the distribution function P(tau) 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.
9 pages, 4 figures
References in corpus (12)
- Random-Matrix Theory of Quantum Transport
- Statistics of energy levels and eigenfunctions in disordered systems
- Statistical Signatures of Photon Localization
- Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering for systems with broken time reversal invariance
- Probability of Reflection by a Random Laser
- Universality of the Wigner time delay distribution for one-dimensional random potentials
- Transmission through a many-channel random waveguide with absorption
- Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity
- On the distribution of the Wigner time delay in one-dimensional disordered systems
- Signature of wave localisation in the time dependence of a reflected pulse
- Localization-induced coherent backscattering effect in wave dynamics
- Coherent backscattering effect on wave dynamics in a random medium
Cited by in corpus (7)
- Statistics of delay times in mesoscopic systems as a manifestation of eigenfunction fluctuations
- Statistics of Dynamics of Localized Waves
- Signatures of photon localization
- Mesoscopic phase statistics of diffuse ultrasound in dynamic matter
- Global Partial Density of States: Statistics and Localization Length in Quasi-one Dimensional disordered systems
- Scaling properties of delay times in one-dimensional random media
- Time delay in 1D disordered media with high transmission