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Streaked photoemission metrology allows the observation of an apparent relative time delay between the detection of photoelectrons from different initial electronic states. This relative delay is obtained by recording the photoelectron…

Other Condensed Matter · Physics 2015-05-28 Chang-hua Zhang , Uwe Thumm

This is the first of two subsequent publications where the probability distribution of delay-times in scattering of wave packets is discussed. The probability distribution is expressed in terms of the on-shell scattering matrix, the…

Mathematical Physics · Physics 2017-05-24 Uzy Smilansky

The WS time delay matrix relates a lossless and reciprocal system's scattering matrix to its frequency derivative, and enables the synthesis of modes that experience well-defined group delays when interacting with the system. The elements…

Computational Physics · Physics 2021-07-28 Utkarsh R. Patel , Eric Michielssen

We reveal a general explicit relation between the statistics of delay times in one-channel reflection from a mesoscopic sample of any spatial dimension and the statistics of the eigenfunction intensities in its closed counterpart. This…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Ossipov , Y. V. Fyodorov

We investigate the statistics of single-mode delay times of waves reflected from a disordered waveguide in the presence of wave localization. The distribution of delay times is qualitatively different from the distribution in the diffusive…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. Schomerus , K. J. H. van Bemmel , C. W. J. Beenakker

Light wave reflection from optical disordered media is always associate with its phase, and the phase statistics influence the reflection statistics. We report a detailed numerical study of the statistics of the reflection coefficient RR*…

Optics · Physics 2015-12-29 Prabhakar Pradhan

The generation of a streaking spectrogram is based on energy absorption from the streaking laser. Investigating this absorption we show rigorously under which condition the measured time shift is independent of properties of the streaking…

Atomic Physics · Physics 2020-09-16 Ulf Saalmann , Jan M Rost

The probability distribution of the proper delay times during scattering on a chaotic system is derived in the framework of the random matrix approach and the supersymmetry method. The result obtained is valid for an arbitrary number of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Hans-Juergen Sommers , Dmitry V. Savin , Valentin V. Sokolov

A one-dimensional scattering problem off a $\delta$-shaped potential is solved analytically and the time development of a wave packet is derived from the time-dependent Schr\"odinger equation. The exact and explicit expression of the…

Quantum Physics · Physics 2009-10-30 Hiromichi Nakazato

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…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. Schomerus

A dynamical effect of coherent backscattering is predicted theoretically and supported by computer simulations: The distribution of single-mode delay times of waves reflected by a disordered waveguide depends on whether the incident and…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. Schomerus , K. J. H. van Bemmel , C. W. J. Beenakker

Elastic scattering of a wave can be quantified by a shift in the phase with respect to the incoming wave phase. A qualitative measure of the time during which the effect occurs is given by the Wigner time delay. The tunneling time in turn…

Quantum Physics · Physics 2024-02-08 Benjamin Schwager , Lars Meschede , Jamal Berakdar

We have studied the reflection delay time distribution from a one-dimensional electronically random system of finite length. We show that the average delay time is a non-monotonic function of the strength of the disorder and exhibits three…

Disordered Systems and Neural Networks · Physics 2009-10-31 Sandeep K. Joshi , A. M. Jayannavar

The event reconstruction in high energy neutrino telescopes is based on the expression of the time delay distribution of the detected photons propagating to some distance from their emission point through a uniform and scattering medium.…

Astrophysics · Physics 2007-05-23 George Japaridze , Mathieu Ribordy

This paper concerns time-dependent scattering theory and in particular the concept of time delay for a class of one-dimensional anisotropic quantum systems. These systems are described by a Schr\"{o}dinger Hamiltonian $H = -\Delta + V$ with…

Quantum Physics · Physics 2009-02-05 W. O. Amrein , Philippe A. Jacquet

We report on an extensive study of the elastic scattering time $\tauS$ of matter-waves in optical disordered potentials. Using direct experimental measurements, numerical simulations and comparison with first-order Born approximation based…

We identify the poles and zeros of the scattering matrix of a simple quantum graph by means of systematic measurement and analysis of Wigner, transmission, and reflection complex time delays. We examine the ring graph because it displays…

Disordered Systems and Neural Networks · Physics 2022-05-24 Lei Chen , Steven M. Anlage

We consider a fully quantized model of spontaneous emission, scattering, and absorption, and study propagation of a single photon from an emitting atom to a detector atom both with and without an intervening scatterer. We find an exact…

Quantum Physics · Physics 2009-11-07 Thomas Purdy , Daniel R. Taylor , Martin Ligare

The scattering of electromagnetic waves from obstacles with wave-material interaction in thin layers on the surface is described by generalized impedance boundary conditions, which provide effective approximate models. In particular, this…

Numerical Analysis · Mathematics 2022-02-04 Jörg Nick , Balázs Kovács , Christian Lubich

We consider wave scattering from a system of highly contrasting resonators with time-modulated material parameters. In this setting, the wave equation reduces to a system of coupled Helmholtz equations that models the scattering problem. We…

Mathematical Physics · Physics 2024-01-05 Habib Ammari , Jinghao Cao , Erik Orvehed Hiltunen , Liora Rueff