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Electromagnetic waves at grazing incidence onto a planar medium are analogous to zero energy quantum particles incident onto a potential well. In this limit waves are typically completely reflected. Here we explore dielectric profiles…

光学 · 物理学 2021-07-07 D. A. Patient , S. A. R. Horsley

The $PT$-symmetric optical grating with index profile $e^{i\beta z}$ has been shown to have the interesting property of being essentially invisible for light incident from one side, while possessing greatly enhanced reflection at a…

光学 · 物理学 2015-06-09 H. F. Jones , M. Kulishov

Suppose that a plane wave is incident onto an impenetrable grating profile of Dirichlet or Impedance type or a penetrable grating. The grating interface is assumed to be given by a Lipschitz function in two dimensions. We derive stability…

偏微分方程分析 · 数学 2023-04-11 Linlin Zhu , Guanghui Hu

The diffraction of electromagnetic waves at the surface periodic structures accompanied by strong anomalous effects in different diffraction orders is considered in great detail for high-contrast interfaces. We restrict our discussion to…

光学 · 物理学 2019-07-31 T. Rokhmanova , A. V. Kats

The Helmholtz equation can be written as coupled equations for the amplitude and phase. By considering spatial phase distributions corresponding to reflectionless wave propagation in the plane and solving for the amplitude in terms of this…

光学 · 物理学 2018-05-23 Chris King , Simon Horsley , Thomas Philbin

We investigate inverse diffraction problems for penetrable gratings in a piecewise constant medium. In the TE polarization case, it is proved that a binary grating profile together with the refractive index beneath it can be uniquely…

偏微分方程分析 · 数学 2021-11-24 Jianli Xiang , Guanghui Hu

This article gives an analysis of the behavior of polarizing grids and reflecting polarizers by solving Maxwell's equations, for arbitrary angles of incidence and grid rotation, for cases where the excitation is provided by an incident…

A topology optimization method is presented and applied to a blazed diffraction grating in reflection under conical incidence. This type of gratings is meant to disperse the incident light on one particular diffraction order and this…

计算物理 · 物理学 2024-11-06 Simon Ans , Frédéric Zamkotsian , Guillaume Demésy

In the traditional quantum theory, one-dimensional quantum spin models possess a factorization surface where the ground states are fully separable having vanishing bipartite as well as multipartite entanglement. We report that in the…

量子物理 · 物理学 2022-02-24 Leela Ganesh Chandra Lakkaraju , Aditi Sen De

In this article, we present the derivation of the asymptotic forms of the equations corresponding to the scattering coefficients of the exterior electric and magnetic fields of an infinite grating of insulating dielectric circular cylinders…

数学物理 · 物理学 2007-11-06 Omer Kavaklioglu , Baruch Schneider

We review recent theoretical models and experiments dealing with the diffraction of neutral atoms from a reflection grating, formed by a standing evanescent wave. We analyze diffraction mechanisms proposed for normal and grazing incidence,…

Thermal energy atom scattering at a surface with grazing incidence conditions is an innovative method for investigating dispersive atom-surface interactions with potential application in quantum sensing interferometry. The complete…

原子物理 · 物理学 2024-07-16 Lee Yeong Kim , Do Won Kang , Jong Chan Lee , Eunmi Chae , Wieland Schöllkopf , Bum Suk Zhao

We study the interaction of electromagnetic (EM) radiation with single-layer graphene and a stack of parallel graphene sheets at arbitrary angles of incidence. It is found that the behavior is qualitatively different for transverse magnetic…

介观与纳米尺度物理 · 物理学 2013-10-31 Yuliy V. Bludov , Nuno M. R. Peres , Mikhail I. Vasilevskiy

Fundamental rules and definitions of Fractional Differintegrals are outlined. Factorizing 1-D and 2-D Helmholtz equations four fractional eigenfunctions are determined. The functions exhibit incident and reflected plane waves as well as…

光学 · 物理学 2007-05-23 A. J. Turski , B. Atamaniuk , E. Turska

We study a new approach to the problem of transparent boundary conditions for the Helmholtz equation in unbounded domains. Our approach is based on the minimization of an integral functional arising from a volume integral formulation of the…

偏微分方程分析 · 数学 2015-06-12 Giulio Ciraolo , Francesco Gargano , Vincenzo Sciacca

An analytical method for diffraction of a plane electromagnetic wave at periodically-modulated graphene sheet is presented. Both interface corrugation and periodical change in the optical conductivity are considered. Explicit expressions…

介观与纳米尺度物理 · 物理学 2015-06-16 T. M. Slipchenko , M. L. Nesterov , L. Martin-Moreno , A. Yu. Nikitin

Radiative emission from an open-ended unflanged planar dielectric waveguide is studied for the case of TM polarization on the basis of an iterative scheme. The first step of the scheme leads to approximate values for the reflection…

光学 · 物理学 2013-09-24 B. U. Felderhof

In quantum mechanics an incoming particle wave packet with sufficient energy will undergo both transmission and reflection when encountering a barrier of lower energy, but in classical mechanics there is no reflection, only transmission. In…

量子物理 · 物理学 2015-08-13 D. J. Bedingham , J. J. Halliwell

We study the diffraction produced by a slab of purely reflective PT-symmetric volume Bragg grating that combines modulations of refractive index and gain/loss of the same periodicity with a quarter-period shift between them. Such a complex…

光学 · 物理学 2023-07-19 Mykola Kulishov , H. F. Jones , Bernard Kress

We show that periodically doped, flat surfaces can act as reflective diffraction gratings for atomic and molecular matter waves. The diffraction element is realized by exploiting that charged dopants locally suppress quantum reflection from…

量子物理 · 物理学 2015-01-16 Benjamin A. Stickler , Uzi Even , Klaus Hornberger
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