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An analysis of electron transport in graphene is presented in the presence of various arrangement of delta-function like magnetic barriers. The motion through one such barrier gives an unusual non specular refraction leading to asymmetric…

Mesoscale and Nanoscale Physics · Physics 2009-07-09 Sankalpa Ghosh , Manish Sharma

We present a numerical approach for the solution of electromagnetic scattering from a dielectric cylinder partially covered with graphene. It is based on a classical Fourier-Bessel expansion of the fields inside and outside the cylinder to…

Optics · Physics 2025-03-07 Youssef Jeyar , Mauro Antezza , Brahim Guizal

We theoretically investigate under which conditions nonlocal plasmon response in monolayer graphene can be detected. To this purpose, we study optical scattering off graphene plasmon resonances coupled using a subwavelength dielectric…

Mesoscale and Nanoscale Physics · Physics 2025-02-19 Tobias Wenger , Giovanni Viola , Philippe Tassin , Mikael Fogelström , Jari Kinaret

Angle-resolved reflection and emission spectra of metal gratings consisting of sub-wavelength grooves and immersed into rhodamine B and rhodamine 19 solutions are presented. The measured reflection and emission dispersion diagrams reveal…

Optics · Physics 2015-05-20 Carola Geiger , Jochen Fick

A formula for the wavefront of a wave reflected from a diffraction grating with an arbitrary surface profile, as well as with arbitrary non-equidistant and non-parallel grooves was obtained. It was shown that the wavefront of the reflected…

Optics · Physics 2024-10-25 Efim Khazanov

We theoretically investigate the second harmonic generation and photon drag effect induced by an incident plane wave to a doped graphene placed on a two-dimensional diffraction grating. The relevant nonlinear conductivity of the graphene is…

Optics · Physics 2018-10-04 Tetsuyuki Ochiai

The ability to effectively guide electromagnetic radiation below the diffraction limit is of the utmost importance in the prospect of all-optical plasmonic circuitry. Here, we propose an alternative solution to conventional metal-based…

Mesoscale and Nanoscale Physics · Physics 2016-11-28 P. A. D. Gonçalves , E. J. C. Dias , Sanshui Xiao , M. I. Vasilevskiy , N. Asger Mortensen , N. M. R. Peres

An electromagnetic response of a single graphene layer to a uniform, arbitrarily strong electric field $E(t)$ is calculated by solving the kinetic Boltzmann equation within the relaxation-time approximation. The theory is valid at low…

Mesoscale and Nanoscale Physics · Physics 2018-04-26 S. A. Mikhailov

An analytical general analysis of the electromagnetic Dyadic Green's Function for two-dimensional sheet (or a very thin film) is presented, with an emphasis on on the case of graphene. A modified steepest descent treatment of the fields…

Mesoscale and Nanoscale Physics · Physics 2012-08-08 A. Yu. Nikitin , F. J. Garcia-Vidal , L. Martin-Moreno

The modified rigorous coupled-wave analysis technique is developed to describe the optical characteristics of the plasmonic structures with the grating-gated delta-thin conductive channel in the far- and near-field zones of electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2021-01-14 Yurii M. Lyaschuk , Serhii M. Kukhtaruk , Vytautas Janonis , Vadym V. Korotyeyev

The problem of diffraction of a waveguide mode by a thin Neumann screen is considered. The incident mode is assumed to have frequency close to the cut-off. The problem is reduced to a propagation problem on a branched surface and then is…

Analysis of PDEs · Mathematics 2015-12-24 Andrey V. Shanin , Andrey I. Korolkov

We compute the optical conductivity for an out-of-plane deformation in graphene using an approach based on solutions of the Dirac equation in curved space. Different examples of periodic deformations along one direction translates into an…

Mesoscale and Nanoscale Physics · Physics 2014-05-05 A. J. Chaves , T. Frederico , O. Oliveira , W. de Paula , M. C. Santos

Graphene's structure bears on both the material's electronic properties and fundamental questions about long range order in two-dimensional crystals. We present an analytic calculation of selected area electron diffraction from multi-layer…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 Brian Shevitski , Matthew Mecklenburg , William A. Hubbard , E. R. White , Ben Dawson , M. S. Lodge , Masa Ishigami , B. C. Regan

The theory of optical effects in hydrogenated graphene (graphane) in terahertz and infrared range is developed, including the analysis of complex conductivity, reflection coefficient for graphane on a substrate and dispersion of surface…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 E. I. Preobrazhensky , I. V. Oladyshkin , M. D. Tokman

The recently proposed concept of metagrating enables wavefront manipulation of electromagnetic (EM) waves with unitary efficiency and relatively simple fabrication requirements. Herein, two-dimensional (2D) metagratings composed of a 2D…

Classical Physics · Physics 2022-04-13 Mahdi Rahmanzadeh , Amin Khavasi

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

In this paper, we revisit the classic problem of diffraction of electromagnetic waves by an aperture in a perfectly conducting plane. We formulate the diffraction problem using a boundary integral equation that is defined on the aperture…

Analysis of PDEs · Mathematics 2023-10-16 Ying Liang , Hai Zhang

Resonance diffraction in the periodic array of graphene micro-ribbons is theoretically studied following a recent experiment [L. Ju et al, Nature Nanotech. 6, 630 (2011)]. Systematic studies over a wide range of parameters are presented. It…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 A. Yu. Nikitin , F. Guinea , F. J. Garcia-Vidal , L. Martin-Moreno

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 perform a detailed analysis of electronic polarizability of graphene with different theoretical approaches. From Kubo's linear response formalism, we give a general expression of frequency and wave-vector dependent polarizability within…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Tao Zhu , Mauro Antezza , Jian-Sheng Wang