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Related papers: Comment on "Theory of tailoring sonic devices: Dif…

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In their comment, A. Hakansson, J. Sanchez-Dehesa, F. Cervera, F. Meseguer, L. Sanchis, and J. Llinares say that our conclusion stating that diffraction prevails over refraction in acoustic lenses whose aperture is of several wavelengths,…

Materials Science · Physics 2009-11-10 N. Garcia , M. Nieto-Vesperinas , E. V. Ponizovskaya , M. Torres

In the moderately long wavelength propagation regime, acoustic crystaldevices which size is of several wave lengths are studied by using thefinite-difference time domain method. It is shown by the focusing and imaging of a square shaped…

Condensed Matter · Physics 2016-08-31 N. Garcia , M. Nieto-Vesperinas , E. V. Ponizovskaya , M. Torres

Motivated by a recent experiment on acoustic lenses, we perform numerical calculations based on a multiple scattering technique to investigate the focusing of acoustic waves with sonic crystals formed by rigid cylinders in air. The focusing…

Condensed Matter · Physics 2009-11-07 Bikash C. Gupta , Zhen Ye

The concept of the diffraction limit put forth by Ernst Abbe and others has been an important guiding principle limiting our ability to tightly focus classical waves, such as light and sound, in the far field. In the past decade, numerous…

Optics · Physics 2016-11-01 A. A. Maznev , O. B. Wright

Most of the physically based techniques for rendering translucent objects use the diffusion theory of light scattering in turbid media. The widely used dipole diffusion model (Jensen et al. 2001) applies the diffusion-theory formula derived…

Graphics · Computer Science 2010-11-16 Konstantin Kolchin

A diffraction theory in a system consisting of left-handed and right-handed materials is proposed. The theory is based upon the Huygens's principle and the Kirchhoff's integral and it is valid if the wavelength is smaller than any relevant…

Condensed Matter · Physics 2015-06-24 A. L. Pokrovsky , A. L. Efros

We demonstrate that the concerns expressed by Garcia et al. are misplaced, due to (1) a misreading of our findings in [1]; (2) a widespread failure to examine and present words in support of asserted summary quantities based on word usage…

We review recent theoretical models and experiments dealing with the diffraction of neutral atoms from a reflection grating, formed by a standing evanescent wave. We analyze diffraction mechanisms proposed for normal and grazing incidence,…

Decades of work on beam deformation on reflection, and especially on lateral shifts, have spread the idea that a reflected beam is larger than the incident beam. However, when the right conditions are met, a beam reflected by a multilayered…

We study coherent wave scattering through waveguides with a step-like surface disorder and find distinct enhancements in the reflection coefficients at well-defined resonance values. Based on detailed numerical and analytical calculations,…

Disordered Systems and Neural Networks · Physics 2014-05-13 J. Doppler , J. A. Méndez-Bermúdez , J. Feist , O. Dietz , D. O. Krimer , N. M. Makarov , F. M. Izrailev , S. Rotter

A survey of acoustic devices for focusing airborne sound is presented. We introduce a new approach to design high quality acoustic lenses based on arrays of cylindrical rigid scatterers in air. A population based stochastic search algorithm…

Materials Science · Physics 2007-05-23 Andreas Hakansson , Jose Sanchiz-Dehesa , Lorenzo Sanchis

Diffraction tomography aims to recover an object's scattering potential from measured wave fields. In the classical setting, the object is illuminated by plane waves from many directions, and the Fourier diffraction theorem provides a…

Numerical Analysis · Mathematics 2026-03-11 Peter Elbau , Noemi Naujoks

Comprehending sound damping is integral to understanding the anomalous low temperature properties of glasses. Despite decades of studies, the underlying mechanism of sound damping in glasses is still debated. In this perspective we review…

Disordered Systems and Neural Networks · Physics 2025-08-15 Grzegorz Szamel , Elijah Flenner

The basic theory underlying the realization of simple multiple-band non-homogeneous dielectric resonators, whose spectral response is the overlap of single-resonator frequency bands, is developed exploiting a general approach discussed in…

Instrumentation and Detectors · Physics 2007-05-23 G. Annino , M. Cassettari , M. Martinelli

We discuss how the diffraction theory of a single translation bounded measure or a family of such measures can be understood within the framework of unitary group representations. This allows us to prove an orthogonality feature of measures…

Functional Analysis · Mathematics 2024-02-05 Daniel Lenz , Nicolae Strungaru

As opposed to metasurfaces, metagratings represent themselves sparse arrangements of scatterers. Established rigorous analytical models allow metagratings to overcome performance of metasurfaces in beam steering applications while handling…

Applied Physics · Physics 2020-04-22 Vladislav Popov , Fabrice Boust , Shah Nawaz Burokur

A brief summary of recent developments in mathematical diffraction theory is given. Particular emphasis is placed on systems with aperiodic order and continuous spectral components. We restrict ourselves to some key results and refer to the…

Mathematical Physics · Physics 2014-09-08 Uwe Grimm , Michael Baake

This is a review of Glauber's asymptotic diffraction theory, in which diffractive scattering is described in terms of interference between semiclassical amplitudes, resulting from a stationary-phase approximation. Typically two such…

Nuclear Theory · Physics 2019-10-17 Per Osland

Some facets of the way sound waves travel through glasses are still unclear. Recent works have shown that in the low-temperature harmonic limit a crucial role in controlling sound damping is played by local elastic heterogeneity. Sound…

Materials Science · Physics 2020-06-01 Hideyuki Mizuno , Giancarlo Ruocco , Stefano Mossa

In 2023, Lubineau et al. published an article [1] detailing several experiments carried out with dyslexic readers. These authors attempted to measure the change in reading performance under different reading conditions using flickering…

Physics and Society · Physics 2024-11-27 Michael Kodochian
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