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相关论文: Derivation of statistics of real delay time from s…

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Considering the complex reflection amplitude R=|R|exp(i{\theta}) of a light wave, real delay time {\tau}_r (i.e., sojourn or Wigner delay time), which is the energy derivative of the real phase ({\tau}_r =d{\theta}/cdk), and complex delay…

光学 · 物理学 2017-01-03 Prabhakar Pradhan , Peeyush Sahay , Huda M. Almabadi

We study the statistical properties of the complex generalization of Wigner time delay $\tau_\text{W}$ for sub-unitary wave chaotic scattering systems. We first demonstrate theoretically that the mean value of the $\text{Re}[\tau_\text{W}]$…

无序系统与神经网络 · 物理学 2021-11-15 Lei Chen , Steven M. Anlage , Yan V. Fyodorov

We re-examine and correct an earlier derivation of the distribution of the Wigner phase delay time for wave reflection from a long one-dimensional disordered conductor treated in the continuum limit. We then numerically compare the…

无序系统与神经网络 · 物理学 2007-05-23 S. Anantha Ramakrishna , N. Kumar

The scattering matrix $S$ linearly relates the vector of incoming waves to outgoing wave excitations, and contains an enormous amount of information about the scattering system and its connections to the scattering channels. Time delay is…

光学 · 物理学 2026-02-02 Isabella L. Giovannelli , Steven M. Anlage

We consider the scattering of an electron from a semi-infinite one-dimensional random medium. The random medium is characterized by force, $-\d V/\d L$ being the basic random variable. We obtain an analytical expression for the stationary…

无序系统与神经网络 · 物理学 2009-10-30 Sandeep K. Joshi , A. M. Jayannavar

We study the time delay of reflected and transmitted waves in 1D disordered media with high transmission. Highly transparent and translucent random media are found in nature or can be synthetically produced. We perform numerical simulations…

无序系统与神经网络 · 物理学 2022-11-30 Luis A. Razo-López , J. A. Méndez-Bermúdez , Victor A. Gopar

We show that the delay time distribution for wave reflection from a one-dimensional random potential is related directly to that of the reflection coefficient, derived with an arbitrarily small but uniform imaginary part added to the random…

无序系统与神经网络 · 物理学 2009-10-31 S. Anantha Ramakrishna , N. Kumar

We introduce a complex generalization of Wigner time delay $\tau$ for sub-unitary scattering systems. Theoretical expressions for complex time delay as a function of excitation energy, uniform and non-uniform loss, and coupling, are given.…

无序系统与神经网络 · 物理学 2021-05-26 Lei Chen , Steven M. Anlage , Yan V. Fyodorov

We consider the scattering of electron by a one-dimensional random potential (both passive and active medium) and numerically obtain the probability distribution of Wigner delay time ($\tau$). We show that in a passive medium our…

无序系统与神经网络 · 物理学 2009-10-30 Sandeep K. Joshi , Abhijit Kar Gupta , A. M. Jayannavar

Attosecond dynamics of electron reflection from a thin film is studied based on a one-dimensional jellium model. Following the Eisenbud-Wigner-Smith concept, the reflection time delay $\Delta\tau_{\rm R}$ is calculated as the energy…

材料科学 · 物理学 2025-06-10 R. O. Kuzian , E. E. Krasovskii

The Wigner-Smith time-delay of flux conserving systems is a real quantity that measures how long an excitation resides in an interaction region. The complex generalization of time-delay to non-Hermitian systems is still under development,…

混沌动力学 · 物理学 2025-04-14 Nadav Shaibe , Jared M. Erb , Steven M. Anlage

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…

介观与纳米尺度物理 · 物理学 2007-05-23 D. V. Savin , H. -J. Sommers

The Wigner time delay, defined by the energy derivative of the total scattering phase shift, is an important spectral measure of an open quantum system characterising the duration of the scattering event. It is related to the trace of the…

混沌动力学 · 物理学 2014-12-12 Jack Kuipers , Dmitry V. Savin , Martin Sieber

In scattering theory, the Wigner-Smith time delay, calculated through a phaseshift derivative or its multichannel generalization, has been demonstrated to measure the amount of delay or advance experienced by colliding particles during…

原子物理 · 物理学 2025-11-25 Karim I. Elghazawy , Chris H. Greene

We investigate the low-frequency dynamics for transmission or reflection of a wave by a cavity with chaotic scattering. We compute the probability distribution of the phase derivative phi'=d phi/d omega of the scattered wave amplitude,…

无序系统与神经网络 · 物理学 2007-05-23 K. J. H. van Bemmel , H. Schomerus , C. W. J. Beenakker

The Wigner-Smith (WS) time delay matrix relates a system's scattering matrix to its frequency derivative and gives rise to so-called WS modes that experience well-defined group delays when interacting with the system. For systems composed…

计算物理 · 物理学 2023-06-14 Yiqian Mao , Utkarsh R. Patel , Eric Michielssen

This is a theoretical study of the interplay of optical phase-conjugation and multiple scattering. We calculate the intensity of light reflected by a phase-conjugating mirror when it is placed behind a disordered medium. We compare the…

The statistical scattering properties of wave transport in disordered waveguides are derived perturbatively within the transition matrix formalism. The limiting macroscopic statistic of the wave transport, emerges as a consequence of a…

无序系统与神经网络 · 物理学 2015-11-26 M. Yépez , J. J. Sáenz

The Wigner-Smith (WS) time delay matrix relates a lossless system's scattering matrix to its frequency derivative. First proposed in the realm of quantum mechanics to characterize time delays experienced by particles during a collision,…

计算工程、金融与科学 · 计算机科学 2023-05-17 Utkarsh R. Patel , Yiqian Mao , Eric Michielssen

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…

量子物理 · 物理学 2008-11-26 Neelima G. Kelkar
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