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An effective surface equation, that encapsulates the detail of a microstructure, is developed to model microstructured surfaces. The equations deduced accurately reproduce a key feature of surface wave phenomena, created by periodic…

We present an axiomatic/synthetic account of the Huygens Principle of wave fronts. The primitive notions are "touching", and (a weak notion of ) metric. The paper simplifies some of the exposition of the author's "Metric spaces and SDG",…

Differential Geometry · Mathematics 2018-04-17 Anders Kock

A novel Huygens' transmit-array is proposed based on a coupled-resonator approach where two identical elliptical metallic patches with an elliptical hole separated by a dielectric substrate has been used to demonstrate millimeter-wave…

Applied Physics · Physics 2021-05-19 Soichi Sakurai , João G. N. Rahmeier , Takashi Tomura , Jiro Hirokawa , Shulabh Gupta

Asteroseismology has reached a level of accuracy that may allow us to detect the effect of a deep magnetic field on oscillation modes. We thus aim to develop an asymptotic theory for short-wavelength waves in radiative zones of rotating…

Solar and Stellar Astrophysics · Physics 2018-10-15 Aurélien Valade , Vincent Prat , Stéphane Mathis , Kyle Augustson

Tommey and Hogan [Phys. Rev. A, 104, 033305 (2021)] have reported a matter-wave interference experiment using Rydberg atoms traveling through inhomogeneous electric fields at approximately 2000 m/s. Using a simplified model containing the…

Atomic Physics · Physics 2026-05-15 D. Z. Chan , J. D. D. Martin

One can define several properties of wave equations that correspond to the absence of tails in their solutions, the most common one by far being Huygens' principle. Not all of these definitions are equivalent, although they are sometimes…

Mathematical Physics · Physics 2009-10-31 Luca Bombelli , Sebastiano Sonego

We develop a point-scattering approach to the plane-wave optical transmission of subwavelength metal hole arrays. We present a real space description instead of the more conventional reciprocal space description; this naturally produces…

Optics · Physics 2009-11-10 C. Genet , M. P. van Exter , J. P. Woerdman

One of the most important characteristics of light in flat spacetime is that it satisfies Huygens' principle: Initial data for the vacuum Maxwell equations evolves sharply along null (and not timelike) geodesics. In flat spacetime, there…

General Relativity and Quantum Cosmology · Physics 2013-11-13 Abraham I. Harte

We present a universal view on diffusive behaviour in chaotic spatially extended systems for anisotropic and isotropic media. For anisotropic systems, strong chaos leads to diffusive behaviour (Brownian motion with drift) and weak chaos…

Dynamical Systems · Mathematics 2015-06-15 Georg A. Gottwald , Ian Melbourne

The review is devoted to a discussion of new (and often unexpected) aspects of the old problem of elastic light scattering by small metal particles, whose size is comparable to or smaller than the thickness of the skin layer. The main focus…

Optics · Physics 2020-09-21 Michael I. Tribelsky , Andrey E. Miroshnichenko

I summarize recent results (work done in collaboration with Kimmo Kainulainen and Axel Vischer) in which we make quantitative predictions for the baryon asymmetry of the universe in the charge transport mechanism of electroweak…

High Energy Physics - Phenomenology · Physics 2007-05-23 James M. Cline

Magnetized high-energy-density plasmas can often have strong electromagnetic fluctuations whose correlation scale is smaller than the electron Larmor radius. Radiation from the electrons in such plasmas, which markedly differs from both…

Plasma Physics · Physics 2016-04-07 Brett D. Keenan , Mikhail V. Medvedev

The resonant interaction of relativistic electrons and whistler waves is an important mechanism of electron acceleration and scattering in the Earth radiation belts and other space plasma systems. For low amplitude waves, such an…

Plasma Physics · Physics 2020-05-20 A. V. Artemyev , A. I. Neishtadt , A. A. Vasiliev

We examine the contribution of W boson loops to the amplitude of the process H --> \gamma \gamma within the dispersion relation approach, taking up an issue raised in this context recently. We show that the non-vanishing limit of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jiri Horejsi , Miroslav Stohr

For nonlinear wave equations with a potential term we prove pointwise space-time decay estimates and develop a perturbation theory for small initial data. We show that the perturbation series has a positive convergence radius by a method…

Mathematical Physics · Physics 2011-03-23 Nikodem Szpak

Huygens' metasurfaces have demonstrated the ability to tailor electromagnetic wavefronts with passive low-profile structures. The fundamental constraint enabling passive and ideally lossless solutions is the conservation of the normal real…

Applied Physics · Physics 2021-09-15 Vasileios G. Ataloglou , George V. Eleftheriades

GW170817 was not merely an absolute breakthrough in gravitational wave astrophysics and a first in multi-messenger astronomy. The quality and diversity of the electro-magnetic counterpart emission is staggering on its own as well, including…

High Energy Astrophysical Phenomena · Physics 2018-09-03 Hendrik Jan van Eerten

I comment on a number of theoretical issues related to magnetobremsstrahlung, and especially on synchrotron radiation and Unruh (temperature) radiation, that I consider of importance for the current progress towards a better understanding…

General Relativity and Quantum Cosmology · Physics 2008-02-03 H. C. Rosu

Huygens' metasurfaces have demonstrated a remarkable potential to perform wave transformations within a subwavelength region. In particular, omega-bianisotropic Huygens' metasurfaces have allowed for the passive implementation of any wave…

Applied Physics · Physics 2020-12-02 Vasileios G. Ataloglou , Ayman H. Dorrah , George V. Eleftheriades

An asymptotic theory is developed to generate equations that model the global behaviour of electromagnetic waves in periodic photonic structures when the wavelength is not necessarily long relative to the periodic cell dimensions;…

Mathematical Physics · Physics 2015-06-09 B. J. Maling , D. J. Colquitt , R. V. Craster
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