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In this paper we propose a new formulation of the Fourier Modal Method based on an alternative treatment of interface conditions allowing us to overcome the effect of the Gibbs phenomenon. Explicit consideration of the interface conditions…

光学 · 物理学 2022-12-15 Sergey Spiridonov , Alexey A. Shcherbakov

The diffraction contrast modalities accessible by X-ray grating interferometers are not imaged directly but have to be inferred from sine like signal variations occurring in a series of images acquired at varying relative positions of the…

仪器与探测器 · 物理学 2021-02-01 Jonas Dittmann , Andreas Balles , Simon Zabler

In recent years twisted bi-layers of 2D materials became very popular in the field due to the possibility to totally change their electronic properties by simple rotation. At the same time, in the wide field of photonic crystals, this idea…

The rigorous solution to the grating diffraction problem is a cornerstone step in many scientific fields and industrial applications ranging from the study of the fundamental properties of metasurfaces to the simulation of photolithography…

计算物理 · 物理学 2025-02-05 Evgeniy Levdik , Alexey A. Shcherbakov

A description of an algorithm for a rather general modal grating calculation is presented. Arbitrary profiles, depth, and permittivity are allowed. Gratings built up from sub-gratings are allowed, as are coatings on the sidewalls of lines,…

光学 · 物理学 2015-06-26 Mark P. Davidson

Implementing the modal method in the electromagnetic grating diffraction problem delivered by the curvilinear coordinate transformation yields a general analytical solution to the 1D grating diffraction problem in a form of a T-matrix.…

经典物理 · 物理学 2017-08-01 Alexandre V. Tishchenko , Alexey A. Shcherbakov

We consider propagating bound states in the continuum in dielectric gratings. The gratings consist of a slab with ridges periodically arranged ether on top or on the both sides of the slab. Based on the Fourier modal approach we recover the…

光学 · 物理学 2018-05-23 E. N. Bulgakov , D. N. Maksimov , P. N. Semina , S. A. Skorobogatov

We obtain in TM polarization an analytical expression of the scattering matrix of one infinitely conducting metallic lamellar grating with subwavelength slits. The theory is based on the Monomode Modal Method which consists in considering…

光学 · 物理学 2013-03-19 Philippe Boyer , Daniel Van Labeke

This work presents the implementation, numerical examples and experimental convergence study of first- and second-order optimization methods applied to one-dimensional periodic gratings. Through boundary integral equations and shape…

最优化与控制 · 数学 2020-11-04 Rubén Aylwin , Gerardo Silva-Oelker , Carlos Jerez-Hanckes , Patrick Fay

In this work, simulation-based equations to calculate propagation constant in uniform or periodic structures (SES) are deduced and verified through simulations in various types of structures. The modeling of those structures are essentially…

计算工程、金融与科学 · 计算机科学 2025-05-07 Yifan Yin , Bingjie Zhang , Ke Wu

Fast characterization of 2-dimensional gratings is demonstrated using a Fourier lens optical system and a differential optimization algorithm. It is shown that both the grating specific parameters such as the basis vectors and the angle…

仪器与探测器 · 物理学 2016-01-15 Morten Hannibal Madsen , Pierre Boher , Poul-Erik Hansen , Jan Friis Jørgensen

In this chapter, we demonstrate a general formulation of the Finite Element Method allowing to calculate the diffraction efficiencies from the electromagnetic field diffracted by arbitrarily shaped gratings embedded in a multilayered stack…

光学 · 物理学 2013-02-06 Guillaume Demésy , Frédéric Zolla , André Nicolet , Benjamin Vial

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

We report on the modal analysis of open gyrotropic waveguides (GWs). The GWs consist of a non-circular gyrotropic (i.e., gyroelectric and gyromagnetic) core and an infinitely extending isotropic cladding. To solve this problem, we develop…

We present a systematic accuracy assessment of the thin-element approximation (TEA), the beam propagation method (BPM), and the wave propagation method (WPM) for binary diffractive gratings, using the rigorous Fourier modal method (FMM) as…

光学 · 物理学 2026-05-12 Nicolas Barré

Optical grating technique, where optical gratings are generated via light inference, has been widely used to measure charge carrier and phonon transport in semiconductors. In this paper, compared are three types of transient optical grating…

材料科学 · 物理学 2018-05-07 Ke Chen , Xianghai Meng , Feng He , Yongjian Zhou , Jihoon Jeong , Nathanial Sheehan , Seth R Bank , Yaguo Wang

In this article, we derive a theoretical formalism that unifies the rigorous coupled wave analysis and the dynamical diffraction theory. Based on this formalism, we design a computational approach for the diffraction calculation for the…

We consider the problem of unique identification of dielectric coefficients for gratings and sound speeds for wave guides from scattering data. We prove that the "propagating modes" given for all frequencies uniquely determine these…

偏微分方程分析 · 数学 2015-07-21 Gregory Eskin , James Ralston , Masahiro Yamamoto

There has been increasing interest in making the photonic devices more and more compact in the integrated photonics industry, and one of the important questions for manufacturers and design engineers is how to quantify the effect of the…

光学 · 物理学 2016-11-23 Shidong Jiang , Jun Lai

We present a fast spectral Galerkin scheme for the discretization of boundary integral equations arising from two-dimensional Helmholtz transmission problems in multi-layered periodic structures or gratings. Employing suitably parametrized…

数值分析 · 数学 2020-11-06 José Pinto , Rubén Aylwin , Carlos Jerez-Hanckes
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