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When a plane electromagnetic wave impinges upon a diffraction grating or other periodic structures, reflected and transmitted waves propagate away from the structure in different radiation channels. A diffraction anomaly occurs when the…

Computational Physics · Physics 2022-10-05 Zitao Mai , Ya Yan Lu

A single-order transmission diffraction grating based on dispersion engineered all-dielectric metasurfaces is proposed and its wavelength discriminating properties have been theoretically described and confirmed using numerical simulations.…

Optics · Physics 2016-08-24 Shulabh Gupta

The optical characterization of dielectric periodic line-gratings for which the period of the grating is significantly larger than the probing wavelength is investigated experimentally, numerically, and analytically. The experimental…

Optics · Physics 2023-02-15 Jean-Philippe Banon , Colette Turbil , Iryna Gozhyk , Ingve Simonsen

For the diffraction of an incident plane electromagnetic wave by a slotted metallic film, the previous analytical calculation for a single slot [Technical Phys. 50, 1076 (2005)] is generalized into a model for an arbitrary linear array of…

Computational Physics · Physics 2011-06-21 L. David Wellems , Danhong Huang

We have studied atomic diffraction at normal incidence from an evanescent standing wave with a high resolution using velocity selective Raman transitions. We have observed up to 3 resolved orders of diffraction, which are well accounted for…

Atomic Physics · Physics 2007-05-23 J. Esteve , D. Stevens , V. Savalli , N. Westbrook , C. I. Westbrook , A. Aspect

We present a novel approach for the numerical solution of problems of diffraction by open arcs in two dimensional space. Our methodology relies on composition of {\em weighted versions} of the classical integral operators associated with…

Numerical Analysis · Mathematics 2015-06-04 Oscar P. Bruno , Stephane K. Lintner

A theoretical approach for uniformly extracting light propagating through a light guide plate is developed here. Typically, liquid crystal display modalities utilize a backlit lighting system illuminated from the edge with light emitting…

Optics · Physics 2019-10-01 Micheal McLamb , Yanzeng Li , Serang Park , Marc Lata , Tino Hofmann

The problem of diffraction of an electromagnetic plane wave by a perfectly conducting circular disk and its complementary problem, diffraction by a circular hole in an infinite conducting plate, are rigorously solved using the method of the…

Classical Physics · Physics 2010-04-30 Muhammad Adnan Shahzad

We introduce a versatile numerical method for modeling light diffraction in periodically patterned photonic structures containing quadratically nonlinear non-centrosymmetric optical materials. Our approach extends the generalized source…

Optics · Physics 2015-06-23 Martin Weismann , Dominic F. G. Gallagher , Nicolae C. Panoiu

A two-dimensional (2D) mathematical model of quadratically distorted (QD) grating is established with the principles of Fraunhofer diffraction and Fourier optics. Discrete sampling and bisection algorithm are applied for finding numerical…

Optics · Physics 2018-03-22 Yuewei Liu , Yan Feng

This document aims at presenting both theoretical and practical aspects of the grating2D.pro and grating3D.pro [1] ONELAB [2] models. The 2D model grating2D.pro applies to so-called mono-dimensional gratings, i.e. structures having one…

Optics · Physics 2022-11-08 Guillaume Demésy , André Nicolet , Frédéric Zolla

The time-fractional diffusion equation is considered, where the time derivative is either of Caputo or Riemann-Liouville type. The solution of a general initial-boundary value problem with time-dependent boundary conditions over bounded and…

Analysis of PDEs · Mathematics 2023-01-04 M. Rodrigo

We continue our study of the optical properties of the solar gravitational lens (SGL). Taking the next step beyond representing it as an idealized monopole, we now characterize the gravitational field of the Sun using an infinite series of…

General Relativity and Quantum Cosmology · Physics 2021-03-30 Slava G. Turyshev , Viktor T. Toth

We adapt the transfer matrix ($\T$-matrix) method originally designed for one-dimensional quantum mechanical problems to solve the circularly symmetric two-dimensional problem of graphene quantum dots. In similarity to one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 H. Chau Nguyen , Nhung T. T. Nguyen , V. Lien Nguyen

Periodical spatial modulation of the excitonic resonance in a quantum well could lead to the formation of a new highly directional and resonant coherent optical response -- resonant diffraction. Such excitonic diffraction gratings were…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 P. Yu. Shapochkin , Yu. V. Petrov , S. A. Eliseev , V. A. Lovcjus , Yu. P. Efimov , Yu. V. Kapitonov

In this paper we study the application of a simplified method to solve the dynamic radiative transfer problem in expanding envelopes. The method, which requires a computational effort similar to that of the diffusion approximation, is based…

Astrophysics · Physics 2009-10-28 J. Gomez-Gomar , J. Isern

We discuss the problem of polarized radiative transfer in general relativity. We present a set of equations suitable for solving the problem numerically for the case of an arbitrary space-time metric, and show numerical solutions to example…

Instrumentation and Methods for Astrophysics · Physics 2017-06-28 Pauli Pihajoki , Antti Rantala , Peter H. Johansson

Data scarcity is a fundamental barrier in Electrical Impedance Tomography (EIT), as undersampled Dirichlet-to-Neumann (DtN) measurements can substantially degrade conductivity reconstructions. We address this bottleneck by completing…

Numerical Analysis · Mathematics 2026-02-10 Ke Chen , Haizhao Yang , Chugang Yi

We analyze electromagnetic scattering of TM polarized waves from a diffraction grating consisting of a periodic, anisotropic, and possibly negative-index dielectric material. Such scattering problems are important for the modelization of,…

Analysis of PDEs · Mathematics 2015-06-03 Armin Lechleiter , Dinh-Liem Nguyen

We derive from first principles the expression for the angular/wavelength distribution of the intensity diffracted by a blazed reflective grating, according to a scalar theory of diffraction. We considered the most common case of a groove…

Optics · Physics 2015-06-22 R. Casini , P. G. Nelson