
The Interior Inverse Electromagnetic Scattering for an Inhomogeneous Cavity
In this paper we consider the inverse electromagnetic scattering for a c...
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Scattering Mechanisms and Modeling for Terahertz Wireless Communications
This paper provides an analysis of radio wave scattering for frequencies...
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An extended Filon–Clenshaw–Curtis method for highfrequency wave scattering problems in two dimensions
We study the efficient approximation of integrals involving Hankel funct...
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Collisioninduced scattering of a selfpropelled slithering robot
Collisions with environmental heterogeneities are ubiquitous in living a...
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Asymptotics for metamaterial cavities and their effect on scattering
It is wellknown that optical cavities can exhibit localized phenomena r...
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Travelling wave mathematical analysis and efficient numerical resolution for a onedimensional model of solid propellant combustion
We investigate a model of solid propellant combustion involving surface ...
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RayBased Reflectance Model for Diffraction
We present a novel method of simulating wave effects in graphics using r...
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A mathematical and numerical framework for gradient metasurfaces built upon periodically repeating arrays of Helmholtz resonators
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 finite number of Helmholtz resonators in a unit cell and that unit cell is repeated periodically. To solve the scattering problem, the mathematical framework elaborated in [Ammari et al., Asympt. Anal., 2019] is used. The main result is an approximate formula for the scattered wave in terms of the lengths of the openings. Our framework provides analytic expressions for the scattering wave vector and angle and the phaseshift. It justifies the apparent absorption. Moreover, it shows that at specific lengths for the openings and a specific frequency there is an abrupt shift of the phase of the scattered wave due to the subwavelength resonances of the Helmholtz resonators. A numerically fast implementation is given to identify a region of those specific values of the openings and the frequencies.
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