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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…

Optics · Physics 2013-03-19 Philippe Boyer , Daniel Van Labeke

The spectral numerical mode-matching (SNMM) method is developed to simulate the 3D layered multi-region structures. The SNMM method is a semi-analytical solver having the properties of dimensionality reduction to reduce computational costs;…

Optics · Physics 2019-07-10 Jie Liu , Na Liu , Qing Huo Liu

A multi-reflection model of grating diffraction based on the simplified modal method is proposed. Simulation results for a guided mode resonance Brewster grating using our method and rigorous coupled wave analysis are presented to verify…

Optics · Physics 2019-12-04 Changcheng Xiang , Jun Wu , Changhe Zhou , Wei Jia

Numerical mode matching (NMM) methods are widely used for analyzing wave propagation and scattering in structures that are piece-wise uniform along one spatial direction. For open structures that are unbounded in transverse directions…

Numerical Analysis · Mathematics 2018-04-24 Wangtao Lu , Ya Yan Lu , Dawei Song

This paper focuses on the modal analysis of laminated glass beams. In these multilayer elements, the stiff glass plates are connected by compliant interlayers with frequency/temperature-dependent behavior. The aim of our study is (i) to…

Computational Engineering, Finance, and Science · Computer Science 2018-01-04 Alena Zemanová , Jan Zeman , Tomáš Janda , Jaroslav Schmidt , Michal Šejnoha

The diffraction problem of a plane wave impinging on a grating formed by nested cavities is solved by means of the modal method, for $s$ and $p$ polarization modes. The cavities are formed by perfectly conducting sheets that describe…

Optics · Physics 2009-11-10 Angela N. Fantino , Susana I. Grosz , Diana C. Skigin

The chapter contains a detailed presentation of the surface integral theory for modelling light diffraction by surface-relief diffraction gratings having a one-dimensional periodicity. Several different approaches are presented, leading…

Optics · Physics 2014-06-03 Daniel Maystre , Evgeny Popov

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,…

Optics · Physics 2015-06-26 Mark P. Davidson

We present a numerical study of electromagnetic reflection and cavity modes of 1D-sub-wavelength rectangular metallic gratings exposed to TM-polarized light. Computations are made using the modal development. In particular we study the…

Numerical Analysis · Mathematics 2013-11-19 Brigitte Bidégaray-Fesquet , Eric Dumas

Waveguide and resonant properties of diffractive structures are often explained through the complex poles of their scattering matrices. Numerical methods for calculating poles of the scattering matrix with applications in grating theory are…

Other Condensed Matter · Physics 2013-01-24 Dmitry A. Bykov , Leonid L. Doskolovich

This article presents a survey of NSTX cases to study the microtearing mode (MTM) stabilities using the newly developed global reduced model for Slab-Like Microtearing modes (SLiM). A trained neutral network version of SLiM enables rapid…

We consider an OFDM transmitter aided by an intelligent reflecting surface (IRS) and propose a novel approach to enhance waveform security by employing time modulation (TM) at the IRS side. By controlling the periodic TM pattern of the IRS…

Signal Processing · Electrical Eng. & Systems 2023-10-23 Zhaoyi Xu , Athina Petropulu

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…

Computational Physics · Physics 2025-09-30 K. V. Nikolaev , V. Soltwisch , M. A. Botchev , A. Fernández Herrero , P. Hönicke , F. Scholze , S. N. Yakunin

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…

Optics · Physics 2026-05-12 Nicolas Barré

Grating spectra exhibit sharp variations of the scattered light, known as grating anomalies. The latter are due to resonances that have fascinated specialists of optics and physics for decades and are nowadays used in many applications. We…

Optics · Physics 2019-09-10 Alexandre Gras , Wei Yan , Philippe Lalanne

A modeling approach is proposed based on transmission line theory for the characterization of the periodic rectangular waveguide grating (RWG) structure. Using an equivalent circuit (EC) model the dispersion equation of the structure is…

Applied Physics · Physics 2018-03-16 Ye Chen , Yaogen Ding

Composite function minimization captures a wide spectrum of applications in both computer vision and machine learning. It includes bound constrained optimization and cardinality regularized optimization as special cases. This paper proposes…

Optimization and Control · Mathematics 2016-12-08 Ganzhao Yuan , Wei-Shi Zheng , Bernard Ghanem

Metagrating is a new concept for wavefront manipulation that, unlike phase gradient metasurfaces, does not suffer from low efficiency and also has a less complicated fabrication process. In this paper, a compound metallic grating (a…

Optics · Physics 2020-06-24 Mahdi Rahmanzadeh , Amin Khavasi

A method to design gratings in integrated photonics, is presented. The method is based on a transfer matrix formalism enhanced by Finite Element Method (FEM) parameter calculations. The main advantages of the proposed technique are the easy…

Optics · Physics 2021-06-14 Clara Zaccaria , Mattia Mancinelli , Lorenzo Pavesi

The Scanning Tunneling Microscope (STM) is a powerful instrument to study electronic density of states at surfaces down to atomic scale. Many interesting samples require studying variations as a function of the magnetic field, which is most…

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