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It is reported that the phase time of particles which are reflected by a one-dimensional semi-harmonic well includes a time delay term which is negative for definite intervals of the incoming energy. In this interval, the absolute value of…

Quantum Physics · Physics 2013-02-21 Oscar Rosas-Ortiz , Sara Cruz y Cruz , Nicolas Fernandez-Garcia

Absorption yields an additional exponential decay in open quantum systems which can be described by shifting the (scattering) energy E along the imaginary axis, E+i\hbar/2\tau_{a}. Using the random matrix approach, we calculate analytically…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. V. Savin , H. -J. Sommers

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

We develop a novel and powerful method of exactly calculating various transport characteristics of waves in one-dimensional random media with (or without) coherent absorption or amplification. Using the method, we compute the probability…

Disordered Systems and Neural Networks · Physics 2009-10-31 Kihong Kim

We develop a semiclassical approach for the statistics of the time delay in quantum chaotic systems in the presence of a tunnel barrier, for broken time-reversal symmetry. Results are obtained as asymptotic series in powers of the…

Chaotic Dynamics · Physics 2023-02-20 Marcel Novaes , Jack Kuipers

A novel statistical approach based on the Wigner transform is proposed for the description of partially incoherent optical wave dynamics in nonlinear media. An evolution equation for the Wigner transform is derived from a nonlinear…

Pattern Formation and Solitons · Physics 2009-11-07 B. Hall , M. Lisak , D. Anderson , R. Fedele , V. E. Semenov

We apply a fundamental definition of time delay, as the difference between the time a particle spends within a finite region of a potential and the time a free particle spends in the same region, to determine results for photoionization of…

Atomic Physics · Physics 2015-06-12 Jing Su , Hongcheng Ni , Andreas Becker , Agnieszka Jaroń-Becker

We study detection and imaging of small reflectors in heavy clutter, using an array of transducers that emits and receives sound waves. Heavy clutter means that multiple scattering of the waves in the heterogeneous host medium is strong and…

Computational Physics · Physics 2018-06-27 Liliana Borcea , George Papanicolaou , Chrysoula Tsogka

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

The probability distribution of the reflection coefficient for light reflected from a one-dimensional random amplifying medium with {\it cross-correlated} spatial disorder in the real and the imaginary parts of the refractive index is…

Disordered Systems and Neural Networks · Physics 2009-10-31 S. Anantha Ramakrishna , E. Krishna Das , G. V. Vijayagovindan , N. Kumar

The concept of phase and dwell times used in tunneling is extended to quantum collisions to derive a relation between the phase and dwell time delays in scattering. This relation can be used to remove the near threshold s-wave singularities…

Quantum Physics · Physics 2008-11-26 Neelima G. Kelkar

The observable time delays between the multiple images of strong lensing systems with time variable sources can provide us with some valuable information to probe the expansion history of the Universe. Estimation of these time delays can be…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Amir Aghamousa , Arman Shafieloo

The Wigner delay is defined as the energy derivative of the scattering phase of a particle in a given potential, unveiling the time taken (or gained) due to the interaction. The characterisation of this delay plays a central role in…

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

We present a new method for time delay estimation using band limited frequency domain data representing the port responses of interconnect structures. The approach is based on the recently developed by the authors spectrally accurate method…

Numerical Analysis · Mathematics 2015-08-25 Lyudmyla L. Barannyk , Hung H. Tran , Aicha Elshabini , Fred D. Barlow

We consider the possibility that most of the reflection component, observed in the hard X-ray spectra of Seyfert galaxies, could be formed on an extended medium, at large distance from the central source of primary radiation (e.g. on a…

Astrophysics · Physics 2009-11-07 J. Malzac , P. O. Petrucci

The principle of Correlation Optical Time Domain Reflectometry (C-OTDR) is proposed to accurately measure the propagation delay over a multi-span optical fiber link. The delay of the transmission fiber is measured in the reflective mode,…

Signal Processing · Electrical Eng. & Systems 2019-12-12 Michael H. Eiselt , Florian Azendorf

The nonstationary nature of signals and nonlinear systems require the time-frequency representation. In time-domain signal, frequency information is derived from the phase of the Gabor's analytic signal which is practically obtained by the…

Information Theory · Computer Science 2016-04-19 Pushpendra Singh

Asymptotic time evolution of a wave packet describing a non-relativistic particle incident on a potential barrier is considered, using the Wigner phase-space distribution. The distortion of the trasmitted wave packet is determined by two…

Quantum Physics · Physics 2007-05-23 M. S. Marinov , Bilha Segev