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A hybrid computational method of plane-wave and cylindrical-wave expansions for distributed Bragg-reflector (DBR) pillars is proposed. The plane-wave expansion is employed to represent the one-dimensional periodic structure of the DBR. The…

Optics · Physics 2018-10-04 Tetsuyuki Ochiai

We formulate and analyze difference equations on graphs analogous to time-independent diffusion equations arising in the study of diffuse scattering in continuous media. Moreover, we show how to construct solutions in the presence of weak…

Combinatorics · Mathematics 2016-11-03 Anna C. Gilbert , Jeremy G. Hoskins , John C. Schotland

Utilizing the scales theory of electromagnetic theory, the anisotropic dielectric material is reconstructed into an isotropic medium. The analytic expressions of scattering field and the scattering breadth for an anisotropic material…

Classical Physics · Physics 2010-09-15 Y-L Li , J Li

In this paper, we present a method to retrieve tensor polarizabilities of general bi-anisotropic particles from their far-field responses to plane-wave illuminations. The necessary number of probing excitations and the directions where the…

An electron spin moving adiabatically in a strong, spatially non-uniform magnetic field accumulates a geometric phase or Berry phase, which might be observable as a conductance oscillation in a mesoscopic ring. Two contradicting theories…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. A. van Langen , H. P. A. Knops , J. C. J. Paasschens , C. W. J. Beenakker

We present a Bloch modes' based Green's function scattering formalism for cost efficient forward modelling of disordered binary surface textures. The usage of Bloch modes of an unperturbed reference ordered system as ansatz allows our…

Optics · Physics 2019-06-26 A. Abass , A. Martins , S. Nanz , B. -H. V. Borges , E. R. Martins , C. Rockstuhl

We study the propagation of radio waves through a medium possessing density fluctuations that are elongated along the ambient magnetic field and described by an anisotropic Goldreich-Sridhar power spectrum. We derive general formulas for…

Astrophysics · Physics 2009-11-07 B. D. G. Chandran , D. C. Backer

We consider the scattering of elastic waves by highly oscillating anisotropic periodic media with bounded support. Applying the two-scale homogenization, we first obtain a constant coefficient second-order partial differential elliptic…

Analysis of PDEs · Mathematics 2018-02-06 Yi-Hsuan Lin , Shixu Meng

We study linear and nonlinear wave scattering by an optical vortex in a self-defocusing nonlinear Kerr medium. In the linear case, we find a splitting of a plane-wave front at the vortex proportional to its circulation, similar to what…

Pattern Formation and Solitons · Physics 2009-11-07 Dragomir Neshev , Alexander Nepomnyashchy , Yuri S. Kivshar

The linear system of differential equations for determination of transmission and reflection amplytudes of scattered electron in the field of one dimensional arbitrary potential is obtained. It is shown that in general the scattering…

Disordered Systems and Neural Networks · Physics 2019-08-17 David M. Sedrakian , Ashot Zh. Khachatrian

We show that the polarization state of coherent light propagating through an optically thick multiple-scattering medium, can be controlled by wavefront shaping, i.e. by controlling only the spatial phase of the incoming field with a spatial…

Optics · Physics 2015-06-05 Yefeng Guan , Ori Katz , Eran Small , Jianying Zhou , Yaron Silberberg

We extend the spherical tensorial formalism for polarization to the treatment of electric- and magnetic-multipole transitions of any order. We rely on the spherical-wave expansion to derive the tensor form of the operator describing the…

Atomic Physics · Physics 2024-10-15 R. Casini , R. Manso Sainz , A. Lopez Ariste , N. Kaikati

We compare two different models of transport of light in a disordered system with a spherical Gaussian distribution of scatterers. A coupled dipole model, keeping into account all interference effects, is compared to an incoherent model,…

The scattering of polarized light incident from one dielectric medium on its two-dimensional randomly rough interface with a second dielectric medium is studied. A reduced Rayleigh equation for the scattering amplitudes is derived for the…

Scattering and bound states for a spinless particle in the background of a kink-like smooth step potential, added with a scalar uniform background, are considered with a general mixing of vector and scalar Lorentz structures. The problem is…

High Energy Physics - Theory · Physics 2009-10-06 M. G. Garcia , A. S. de Castro

We investigate the linear propagation of a paraxial optical beam in anisotropic media. We start from the eigenmode solution of the plane wave in the media, then subsequently derive the wave equation for the beam propagating along a general…

Optics · Physics 2015-05-14 Zhixiao Chen , Qi Guo

This paper discusses some aspects of the Vasiliev system, beginning with a review of a recent proposal for an alternative perturbative scheme: solutions are built by means of a convenient choice of homotopy-contraction operator and…

High Energy Physics - Theory · Physics 2020-05-01 Carlo Iazeolla

We investigate the scattering of elastic waves off a disordered region described by a one-dimensional random-phase sine-Gordon model. The collective pinning results in an effective static disorder potential with universal and non-Gaussian…

Disordered Systems and Neural Networks · Physics 2021-07-01 Tsuyoshi Yamamoto , Leonid I. Glazman , Manuel Houzet

Quantum theoretical treatment of coherent forward scattering of light in a polarized atomic ensemble with an arbitrary angular momentum is developed. We consider coherent forward scattering of a weak radiation field interacting with a…

Quantum Physics · Physics 2007-05-23 D. V. Kupriyanov , O. S. Mishina , I. M. Sokolov , B. Julsgaard , E. S. Polzik

The scattering cross section for a long-wavelength planar gravitational wave impinging upon a rotating black hole is calculated, for the special case in which the direction of incidence is aligned with the rotation axis. We show that black…

General Relativity and Quantum Cosmology · Physics 2008-11-14 Sam R. Dolan
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