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A nonrelativistic quantum mechanical particle moving freely on a curved surface feels the effect of the nontrivial geometry of the surface through the kinetic part of the Hamiltonian, which is proportional to the Laplace-Beltrami operator,…

Quantum Physics · Physics 2018-10-09 Neslihan Oflaz , Ali Mostafazadeh , Mehrdad Ahmady

The scattering of electromagnetic waves by an obstacle is analyzed through a set of partial differential equations combining the Maxwell's model with the mechanics of fluids. Solitary type EM waves, having compact support, may easily be…

Computational Physics · Physics 2018-03-28 Daniele Funaro , Eugene Kashdan

This article is concerned with the time-harmonic electromagnetic (EM) scattering from a generic inhomogeneous medium. It is shown that if there is a right corner on the support of the medium, then it scatters every pair of incident EM…

Analysis of PDEs · Mathematics 2016-11-15 Hongyu Liu , Jingni Xiao

In this paper we suggest a simple analytical method for description of electromagnetic properties of a geometrically regular two-dimensional subwavelength arrays (metasurfaces) formed by particles with randomly fluctuating polarizabilities.…

We use a state-of-the-art physics-based model of electromagnetic scattering to analyze average circular polarization ratios measured for the A and B rings of Saturn at a wavelength of 12.6 cm. This model is directly based on the Maxwell…

Astrophysics · Physics 2011-02-11 Michael I. Mishchenko , Janna M. Dlugach

Planar, disordered assemblies of small particles incorporated in layered media -- sometimes called ``disordered metasurfaces'' in the recent literature -- are becoming widespread in optics and photonics. Their ability to scatter light with…

Optics · Physics 2023-08-08 Kevin Vynck , Armel Pitelet , Louis Bellando , Philippe Lalanne

Electromagnetic scattering on subwavelength structures keeps attracting attention owing to abroad range of possible applications, where this phenomenon is in use. Fundamental limits of scattering cross-section, being well understood in…

The extended boundary condition method can be formulated to study plane-wave scattering by an ellipsoid composed of an orthorhombic dielectric-magnetic material whose relative permittivity dyadic is a scalar multiple of its relative…

Optics · Physics 2019-05-22 H. M. Alkhoori , A. Lakhtakia , J. K. Breakall , C. F. Bohren

The magnetic dipole absorption cross section of a spherically shaped metal particle was calculated in terms of kinetic approach. The particle considered was placed in the field of a plane electromagnetic wave. The model of boundary…

Mesoscale and Nanoscale Physics · Physics 2014-03-10 I. A. Kuznetsova , M. E. Lebedev , A. A. Yushkanov

In this paper we theoretically study electromagnetic reflection, transmission, and scattering properties of periodic and random arrays of particles which exhibit both electric-mode and magnetic-mode resonances. We compare the properties of…

Materials Science · Physics 2015-06-03 M. Albooyeh , D. Morits , S. A. Tretyakov

Normal contact behaviour between non adhesive fractal rough particles is studied using a finite element method (FEM). A series of spherical grain surfaces with distinguished roughness features are generated by means of Spherical Harmonics.…

Materials Science · Physics 2022-07-14 Deheng Wei , Chongpu Zhai , Dorian A. H. Hanaor , Yixiang Gan

A microscopic model of surface roughness (SR) scattering in inversion layers of bulk-MOSFETs based on Ando's linear model is proposed. Taking into account the stochastic nature of roughness position induced by discontinuity of the spatial…

Mesoscale and Nanoscale Physics · Physics 2026-04-27 Nobuyuki Sano

No surface is perfectly planar at all scales. The notion of flatness of a surface therefore depends on the size of the probe used to observe it. As a consequence rough interfaces are abundant in nature. Here the old, but still active field…

Statistical Mechanics · Physics 2007-05-23 Ingve Simonsen

The extended boundary condition method can be used to study planewave scattering by an ellipsoid composed of an orthorhombic dielectric-magnetic material whose relative permittivity dyadic is a scalar multiple of its relative permeability…

Scattering of TM-polarized surface plasmon-polariton waves (PPW) by a finite segment of the metal-vacuum interface with randomly fluctuating surface impedance is examined. Solution of the integral equation relating the scattered field with…

Disordered Systems and Neural Networks · Physics 2018-01-09 Yu. V. Tarasov , D. A. Iakushev , S. S. Melnik , O. V. Usatenko

Electromagnetic wave scattering by many parallel to $z-$axis, thin, impedance, circular infinite cylinders is studied asymptotically as $a\to 0$. Let $D_m$ be the crossection of the $m-$th cylinder, $a$ be its radius, and…

Mathematical Physics · Physics 2012-09-03 A. G. Ramm

The research works on the biological effects of electromagnetic (EM) radiation have increased globally. Computer simulation models were developed to assess exposure of square, rectangular, pyramidal, and cylindrical water containers to…

The article discusses the correctness of the assumption about the similarity of molecular continuum electron functions with wave functions in electron-atom scattering. The elastic scattering of slow particles by pair of non-overlapping…

Atomic Physics · Physics 2022-08-01 A. S. Baltenkov , I. Woiciechowski

We provide a detailed discussion on the electromagnetic modeling and classification of polarization converting bianisotropic metasurfaces. To do so, we first present a general approach to compute the scattering response of such…

Optics · Physics 2021-09-15 Karim Achouri , Olivier J. F. Martin

We are interested in the resonant electromagnetic (EM) scattering by all-dielectric metasurfaces made of a two-dimensional lattice of nanoparticles with high refractive indices. In [Ammari et al., Trans. AMS, 376 (2023), 39-90], it has been…

Optics · Physics 2023-10-13 Habib Ammari , Bowen Li , Hongjie Li , Jun Zou