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Electromagnetic waves interacting with three--dimensional periodic structures occur in many applications of great scientific and engineering interest. These three dimensional interactions are extremely complicated and subtle, so it is…

Numerical Analysis · Mathematics 2024-07-08 David Nicholls , Liet Vo

Previous theoretical studies have shown that attosecond electron dynamics can, in principle, be captured in electron momentum spectroscopy (EMS) using ultrashort electron pulses. By including further analytical considerations on the…

Atomic Physics · Physics 2026-02-23 Pieter Hessel Harkema , Lars Bojer Madsen

By using Laplace's method for double integrals and the so-called beam condition obeyed by a partially coherent beamlike light field, we report the equivalence theory (ET) of partially coherent beams on scattering for the first time. We…

Optics · Physics 2024-11-13 Yi Ding , Daomu Zhao

Two key types of inhomogeneous spatially dispersive media are described, both based on a spatially dispersive generalisation of the single resonance model of permittivity. The boundary conditions for two such media with different properties…

Classical Physics · Physics 2013-09-04 Jonathan Gratus , Matthew McCormack

Based on an invariant embedding principle for the backscattering function we calculate the electron emission yield for metal surfaces at very low electron impact energies. Solving the embedding equation within a quasi-isotropic…

Materials Science · Physics 2022-04-06 F. X. Bronold , H. Fehske

Exploring the interaction of light with time-varying media is an intellectual challenge that, in addition to fundamental aspects, provides a pathway to multiple promising applications. Time modulation constitutes here a fundamental handle…

Scattering is an important phenomenon which is observed in systems ranging from the micro- to macroscale. In the context of nuclear reaction theory the Heidelberg approach was proposed and later demonstrated to be applicable to many chaotic…

A general homogenization procedure for periodic electromagnetic structures, when applied to layered media with asymmetric lattice cells, yields an effective tensor with magnetoelectric coupling. Accurate results for transmission and…

Optics · Physics 2020-03-20 Igor Tsukerman , A N M Shahriyar Hossain , Y. D. Chong

Temporal metamaterials are artificially manufactured materials with time-dependent material properties that exhibit interesting phenomena when waves propagate through them. The propagation of electromagnetic waves in such time-varying…

Analysis of PDEs · Mathematics 2026-03-23 Christian Döding , Barbara Verfürth

The control of wave scattering in complex non-Hermitian settings is an exciting subject -- often challenging the creativity of researchers and stimulating the imagination of the public. Successful outcomes include invisibility cloaks,…

Mesoscale and Nanoscale Physics · Physics 2025-04-28 Jared Erb , Nadav Shaibe , Robert Calvo , Daniel Lathrop , Thomas Antonsen , Tsampikos Kottos , Steven M. Anlage

In this paper, we study the problem of electromagnetic (EM) wave scattering by many small impedance bodies. A numerical method for solving this problem is presented. The problem is solved under the physical assumptions $a\ll d \ll \lambda$,…

Classical Physics · Physics 2017-10-19 Nhan Tran

In this thesis we address a series of new problems in non-hermitian optical scattering with increasing degrees of complexity. We develop the theory of reflectionless scattering modes, introducing a novel and broad class of impedance-matched…

Optics · Physics 2020-12-10 William R. Sweeney

In this paper, an efficient iterative method is proposed for solving multiple scattering problem in locally inhomogeneous media. The key idea is to enclose the inhomogeneity of the media by well separated artificial boundaries and then…

Numerical Analysis · Mathematics 2019-10-23 Ziqing Xie , Rui Zhang , Bo Wang , Li-lian Wang

It has been recently shown that observing pulses isolated from the gravitational radiation transient (also known as echoes) would prove the existence of exotic compact objects (ECOs). Many features of the ringdown signal can be reproduced…

General Relativity and Quantum Cosmology · Physics 2019-05-30 José T. Gálvez Ghersi , Andrei V. Frolov , David A. Dobre

The relationship between magnetoelectricity and electromagnetism is a subject of a strong interest and numerous discussions in microwave and optical wave physics and material sciences. The definition of the energy and momentum of the…

Materials Science · Physics 2020-04-22 E. O. Kamenetskii

Vector and scalar potential formulation is valid from quantum theory to classical electromagnetics. The rapid development in quantum optics calls for electromagnetic solutions that straddle quantum physics as well as classical physics. The…

Classical Physics · Physics 2016-11-25 Weng Cho Chew

Maxwell equations provide a complete description of the electromagnetic (EM) phenomena, which have been one of the key fundamental-theories of modern physics, such as electromagnetism, optics, quantum theories, etc. The vacuum permittivity…

Classical Physics · Physics 2023-12-25 Zhiwei Sun

To design a uniaxial anisotropic metamaterial a layered cylindrical metamaterial is introduced for TE polarization. Unlike to the previous work, which the layers were in radial direction, here the layers are in azimuthal direction.…

Optics · Physics 2017-10-11 M. R. Forouzeshfard , Masoud Mohebbi , Aliyeh Mollaei

In this paper a mathematical model is given for the scattering of an incident wave from a surface covered with microscopic small Helmholtz resonators, which are cavities with small openings. More precisely, the surface is built upon a…

Numerical Analysis · Mathematics 2020-02-03 Habib Ammari , Kthim Imeri

Hypersonic flight regime is conventionally defined for Mach larger than 5; in these conditions, the flying object becomes enveloped in a plasma. This plasma is densest in thin surface layers, but in typical situations of interest it impacts…

Computational Physics · Physics 2022-06-29 A. Scarabosio , J. L. Araque Quijano , J. Tobon , M. Righero , G. Giordanengo , D. DAmbrosio , L. Walpot , G. Vecchi
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