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Linear theory for phonon scattering by discrete breathers in the discrete nonlinear Schroedinger equation using the transfer matrix approach is presented. Transmission and reflection coefficients are obtained as a function of the wave…

solv-int · 物理学 2007-05-23 S. Lee , Julian J. -L. Ting , S. Kim

We extend the T-matrix approach to light scattering by spherical particles to some simple cases in which the scatterers are optically anisotropic. Specifically we consider cases in which the spherical particles include radially and…

光学 · 物理学 2009-11-07 A. D. Kiselev , V. Yu Reshetnyak , T. J. Sluckin

In this work we present a method for generating random matrices describing electromagnetic scattering from disordered media containing dielectric particles with prescribed single particle scattering characteristics. Resulting scattering…

光学 · 物理学 2022-12-15 Niall Byrnes , Matthew R. Foreman

We conjecture an exact S-matrix for the scattering of solitons in $d_{n+1}^{(2)}$ affine Toda field theory in terms of the R-matrix of the quantum group $U_q(c_n^{(1)})$. From this we construct the scattering amplitudes for all scalar bound…

高能物理 - 理论 · 物理学 2009-10-28 G. M. Gandenberger , N. J. MacKay

The hemispherical Mueller matrix map for light reflected from a plane-parallel planetary atmosphere is shown to obey several symmetry properties that provide a straightforward method to check their physical realizability. The mirror…

光学 · 物理学 2014-06-10 Adrian J. Brown , Yu Xie

Properly modeling and predicting the scattering response of a metasurface is a particularly challenging task. This has been shown to be especially difficult if the metasurface supports both local and nonlocal interactions, in the form of…

光学 · 物理学 2025-05-12 Hossein Allahverdizadeh , Karim Achouri

Diffraction tomography aims to recover an object's scattering potential from measured wave fields. In the classical setting, the object is illuminated by plane waves from many directions, and the Fourier diffraction theorem provides a…

数值分析 · 数学 2026-03-11 Peter Elbau , Noemi Naujoks

Exact solutions to the Dirac-Born-Infeld equation, which describes scatterings of localized wave packets in the presence of constant background fields, are derived in this paper.

高能物理 - 理论 · 物理学 2009-10-31 Chuan-Tsung Chan

We present one loop boundary reflection matrix for $d_4^{(1)}$ Toda field theory defined on a half line with the Neumann boundary condition. This result demonstrates a nontrivial cancellation of non-meromorphic terms which are present when…

高能物理 - 理论 · 物理学 2009-10-28 J. D. Kim , H. S. Cho

We discuss reflection factors for purely elastic scattering theories and relate them to perturbations of specific conformal boundary conditions, using recent results on exact off-critical g-functions. For the non-unitary cases, we support…

高能物理 - 理论 · 物理学 2008-11-26 Patrick Dorey , Anna Lishman , Chaiho Rim , Roberto Tateo

We restrict affine Toda field theory to the half-line by imposing certain boundary conditions at $x=0$. The resulting theory possesses the same spectrum of solitons and breathers as affine Toda theory on the whole line. The classical…

高能物理 - 理论 · 物理学 2010-02-03 Gustav W. Delius

Two-particle scattering amplitudes for integrable relativistic quantum field theory in 1+1 dimensions can normally have at most singularities of poles and zeros along the imaginary axis in the complex rapidity plane. It has been supposed…

高能物理 - 理论 · 物理学 2009-10-30 J. D. Kim , I. G. Koh

The Jacobi system with matrix-valued coefficients and with the spectral parameter depending on a matrix-valued weight factor is considered on the full-line lattice. The scattering from the full-line lattice is expressed in terms of the…

The simulation of light scattering by particles on a substrate with the $T$-matrix method relies on the expansion of the scattered field in spherical waves, followed by a plane wave expansion to allow the evaluation of the reflection from…

We construct a scattering theory for harmonic one-forms on Riemann surfaces, obtained from boundary value problems involving systems of curves and the jump problem. We obtain an explicit expression for the scattering matrix in terms of…

微分几何 · 数学 2025-06-11 Eric Schippers , Wolfgang Staubach

In this paper we prove an approximate continuity result for stochastic differential equations with normal reflections in domains satisfying Saisho's conditions, which together with the Wong-Zakai approximation result completes the support…

概率论 · 数学 2016-06-07 Jiagang Ren , Jing Wu

This report shows formulation of wave scattering in frequency domain. The formulation provides an understanding of S-matrix solver which is named as Scattering Matrix Analyzer (SMatrAn). The S-matrix has the whole of amplitude and phase…

计算物理 · 物理学 2021-04-15 Tatsuya Usuki

The problem of substructure characteristic modes is developed using a scattering matrix-based formulation, generalizing subregion characteristic mode decomposition to arbitrary computational tools. It is shown that the modes of the…

计算工程、金融与科学 · 计算机科学 2025-03-13 Mats Gustafsson , Lukas Jelinek , Miloslav Capek , Johan Lundgren , Kurt Schab

We develop a unified scattering approach to dynamical Casimir problems which can be applied to both accelerating boundaries, as well as dispersive objects in relative motion. A general (trace) formula is derived for the radiation from…

量子物理 · 物理学 2013-01-14 Mohammad F. Maghrebi , Ramin Golestanian , Mehran Kardar

We study the scattering theory for the Gross-Neveu model on the half-line. We find the reflection matrices for the elementary fermions, and by fusion we compute the ones for the two-particle bound-states, showing that they satisfy…

高能物理 - 理论 · 物理学 2009-10-31 A. De Martino , M. Moriconi