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The intermediate scattering function is interpreted as a correlation function of thermal wave packets of the scattering centers perturbed by the scattering particles at different times. A proof of concept is given at the example of…

A quantum mechanical model based on a Green's function approach has been used to calculate the transmission probability of electrons traversing a two-dimensional electron gas injected and detected via mode-selective quantum point contacts.…

介观与纳米尺度物理 · 物理学 2009-11-07 E. G. Novik , H. Buhmann , L. W. Molenkamp

An analytical Green's function is developed to study the acoustic scattering by a flat plate with a serrated edge. The scattered pressure is solved using the Wiener-Hopf technique in conjunction with the adjoint technique. It is shown that…

流体动力学 · 物理学 2023-05-10 Benshuai Lyu

Simple yet accurate results for radiative transfer in layered media with discontinuous refractive index are obtained by the method of K-integrals, originally developed for neutron transport analysis. These are certain weighted integrals…

光学 · 物理学 2016-01-05 Adrian C Selden

We show that using the properties of the photon Green's function one can successfully describe the propagation of arbitrary nonclassical optical radiation through structured materials. In contrast to the similar input-output approach, our…

光学 · 物理学 2009-03-31 F. Richter , D. Yu. Vasylyev , K. Henneberger

We present a numerically efficient and accurate Multiple Scattering formalism, which is a generalization of the Multiple Scattering method with a truncated basis set [X. -G. Zhang and W. H. Butler, Phys. Rev. B 46,7433 (1992)]. Compared to…

量子物理 · 物理学 2016-05-03 Junqing Xu , Keisuke Hatada , Didier Sébilleau , Li Song

This paper is concerned with problems of scattering of time-harmonic acoustic waves by a two-layered medium with a non-locally perturbed boundary (called a rough boundary in this paper) in two dimensions, where a Dirichlet or impedance…

数值分析 · 数学 2025-08-14 Haiyang Liu , Long Li , Jiansheng Yang , Bo Zhang , Haiwen Zhang

A formalism is introduced for the non-perturbative, purely numerical, solution of the reduced Rayleigh equation for the scattering of light from two-dimensional penetrable rough surfaces. As an example, we apply this formalism to study the…

光学 · 物理学 2012-05-03 Tor Nordam , Paul Anton Letnes , Ingve Simonsen

By the use of Green's second integral identity we determine the field scattered from a two-dimensional randomly rough isotropic or anisotropic Dirichlet or Neumann surface when it is illuminated by a scalar Gaussian beam. The integral…

A tutorial discussion of the propagation of waves in random media is presented. In first approximation the transport of the multiple scattered waves is given by diffusion theory, but important corrections are present. These corrections are…

介观与纳米尺度物理 · 物理学 2009-10-31 M. C. W. van Rossum , Th. M. Nieuwenhuizen

Numerical calculations of light propagation in random media demand the multiply scattered Stokes intensities to be written in a common fixed reference. A particularly useful way to perform automatically these basis transformations is to…

光学 · 物理学 2010-10-19 Alexandre Souto Martinez , Tiago Jose Arruda

We study the propagation of surface waves across structured surfaces with random, localized inhomogeneities. A discrete analogue of Gurtin-Murdoch model is employed and surface elasticity, in contrast to bulk elasticity, is captured by…

数学物理 · 物理学 2024-07-09 Josselin Garnier , Basant Lal Sharma

In previous papers of this series, we presented a formalism able to account for both statistical equilibrium of a multilevel atom and coherent and incoherent scatterings (partial redistribution). aims: This paper provides theoretical…

太阳与恒星天体物理 · 物理学 2017-11-15 V. Bommier

We describe an optical technique based on the statistical analysis of the random intensity distribution due to the interference of the near-field scattered light with the strong transmitted beam. It is shown that, from the study of the…

光学 · 物理学 2009-11-10 Doriano Brogioli , Alberto Vailati , Marzio Giglio

This paper is concerned with analysis of electromagnetic wave scattering by an obstacle which is embedded in a two-layered lossy medium separated by an unbounded rough surface. Given a dipole point source, the direct problem is to determine…

偏微分方程分析 · 数学 2019-09-04 Peijun Li , Jue Wang , Lei Zhang

We present the complete formalism that describes scattering in graphene at low-energies. We begin by analyzing the real-space free Green's function matrix, and its analytical expansions at low-energy, carefully incorporating the discrete…

介观与纳米尺度物理 · 物理学 2013-05-29 Cristina Bena

We provide a simple semi-classical formalism to describe the coupling between one or several quantum emitters and a structured environment. Describing the emitter by an electric polarizability, and the surrounding medium by a Green…

光学 · 物理学 2019-01-30 Dorian Bouchet , Rémi Carminati

The theoretical formulation of x-ray resonant magnetic scattering from rough surfaces and interfaces is given for the diffuse (off-specular) scattering, and general expressions are derived in both the Born approximation (BA) and the…

材料科学 · 物理学 2009-11-10 D. R. Lee , C. S. Nelson , J. C. Lang , C. T. Venkataraman , G. Srajer , R. M. Osgood , S. K. Sinha

A theoretical study on the weak scattering formulation for flexural waves in thin elastic plates loaded by point-like resonators is reported. Our approach employs the Born approximation and far-field asymptotics of the Green function to…

应用物理 · 物理学 2025-04-01 Mario Lázaro , Marc Martí-Sabaté , Richard V. Craster , Vicent Romero-García

The transformation from evanescent waves to propagation waves is the key mechanism for the realization of some super-resolution imaging methods. By using the recursive Green function and scattering-matrix theory, we investigated in details…

介观与纳米尺度物理 · 物理学 2017-09-12 Dequan Zhang , Yuchen Xu , Ke Xu , Hao Zhang , Jing Li , Heyuan Zhu , Costas Soukoulis