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We study the asymptotic behavior of branching diffusion processes in periodic media. For a super-critical branching process, we distinguish two types of behavior for the normalized number of particles in a bounded domain, depending on the…

Probability · Mathematics 2020-03-05 Pratima Hebbar , Leonid Koralov , James Nolen

We have studied the soliton propagation through a segment containing random point-like scatterers. In the limit of small concentration of scatterers when the mean distance between the scatterers is larger than the soliton width, a method…

Scattering of electrons from chiral spin textures such as the skyrmions is an emerging research area due to its richness in topological quantum transport, which is significant for spintronic devices. We study the dynamical process of…

Mesoscale and Nanoscale Physics · Physics 2026-03-03 Hareram Swain , Arijit Mandal , S. Satpathy , B. R. K. Nanda

The scattering phase, defined as $ \log \det S ( \lambda ) / 2\pi i $ where $ S ( \lambda ) $ is the (unitary) scattering matrix, is the analogue of the counting function for eigenvalues when dealing with exterior domains and is closely…

Spectral Theory · Mathematics 2022-10-19 Jeffrey Galkowski , Pierre Marchand , Jian Wang , Maciej Zworski

The propagation of monochromatic light through a scattering medium produces speckle patterns in reflection and transmission, and the apparent randomness of these patterns prevents direct imaging through thick turbid media. Yet, since…

The universal bimodal distribution of transmission eigenvalues in lossless diffusive systems un- derpins such celebrated phenomena as universal conductance fluctuations, quantum shot noise in condensed matter physics and enhanced…

Optics · Physics 2016-03-09 A. Yamilov , S. Petrenko , R. Sarma , H. Cao

Scattering theory traditionally deals with the asymptotic behaviour of a system far removed from the actual scattering event. Here we present an experimental study of the one-dimensional scattering of a non-interacting condensate of 87-Rb…

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,…

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

By using semi-analytical method,we investigate the transmission and reflection coefficient and absorption and scattering cross section of spin 0,1,2 particles which are massless from a charged non rotating black holes. Here orbiting…

General Relativity and Quantum Cosmology · Physics 2017-07-04 Sadia Nazir , M. A. Faridi

We investigate, both analytically and numerically, the scattering of one-dimensional quantum droplets by a P\"{o}schl-Teller reflectionless potential well, confirming that there is a sharp transition between full reflection and full…

Quantum Physics · Physics 2023-05-18 Xiaoxiao Hu , Zhiqiang Li , Yu Guo , Yajiang Chen , Xiaobing Luo

The problem of radio wave reflection from an optically thick plane monotonous layer of magnetized plasma is considered at present work. The plasma electron density irregularities are described by spatial spectrum of an arbitrary form. The…

Plasma Physics · Physics 2009-10-31 N. A. Zabotin , A. G. Bronin , G. A. Zhbankov

The study of the scattering of electromagnetic waves by a linear isotropic medium with planar symmetry can be reduced to that of their TE and TM modes. For situations where the medium consists of parallel homogeneous slabs, one may use the…

Quantum Physics · Physics 2025-03-25 Farhang Loran , Ali Mostafazadeh

We consider an infinite chain of coupled harmonic oscillators with a Poisson thermostat at the origin. In the high frequency limit, we establish the reflection-transmission-scattering coefficients for the wave energy scattered off the…

Mathematical Physics · Physics 2022-09-28 Tomasz Komorowski , Stefano Olla

We introduce the wavelet scattering spectra which provide non-Gaussian models of time-series having stationary increments. A complex wavelet transform computes signal variations at each scale. Dependencies across scales are captured by the…

Data Analysis, Statistics and Probability · Physics 2023-06-21 Rudy Morel , Gaspar Rochette , Roberto Leonarduzzi , Jean-Philippe Bouchaud , Stéphane Mallat

We introduce a novel linear transport equation that models the evolution of a one-particle distribution subject to free transport and two distinct scattering mechanisms: one affecting the particle's speed and the other its direction. These…

Mathematical Physics · Physics 2025-11-06 Martina Conte , Nadia Loy

Recurrent representations for an electron transmission and reflection amplitudes for a one-dimensional chain are obtained. The linear differential equations for scattering amplitudes of an arbitrary potential are found.

Condensed Matter · Physics 2009-10-31 David M. Sedrakian , Ashot Zh. Khachatrian

Interaction of electromagnetic, acoustic and even gravitational waves with accelerating bodies forms a class of nonstationary time-variant processes. Scattered waves contain intrinsic signatures of motion, which manifest in a broad range of…

Classical Physics · Physics 2021-06-29 V. Kozlov , S. Kosulnikov , D. Vovchuk , P. Ginzburg

We consider the time dependent Maxwell system in the sense of distributions in the context of temporal interfaces. Just as with spatial interfaces, electromagnetic waves at temporal interfaces scatter and create a transmitted and reflected…

Analysis of PDEs · Mathematics 2025-07-29 Cristian E. Gutiérrez , Eric Stachura

We advocate for the systematic use of a symmetrized definition of time delay in scattering theory. In two-body scattering processes, we show that the symmetrized time delay exists for arbitrary dilated spatial regions symmetric with respect…

Mathematical Physics · Physics 2009-11-11 C. Gerard , R. Tiedra de Aldecoa

In this paper we theoretically study electromagnetic reflection, transmission, and scattering properties of periodic and random arrays of particles which exhibit both electric-mode and magnetic-mode resonances. We compare the properties of…

Materials Science · Physics 2015-06-03 M. Albooyeh , D. Morits , S. A. Tretyakov