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The aim of this lecture is to consider a concrete problem, namely the identification of situations of invisibility in waveguides, to present techniques and tools that may be useful in various fields of applied mathematics. To be more…

Analysis of PDEs · Mathematics 2025-11-13 Lucas Chesnel

Certain lattice wave systems in translationally invariant settings have one or more spectral bands that are strictly flat or independent of momentum in the tight binding approximation, arising from either internal symmetries or fine-tuned…

Mesoscale and Nanoscale Physics · Physics 2018-06-07 Daniel Leykam , Alexei Andreanov , Sergej Flach

Starting from fundamental multiple scattering theory it is shown that negative refraction indices are feasible for matter waves passing a well-defined ensemble of scatterers. A simple approach to this topic is presented and explicit…

Quantum Physics · Physics 2016-03-07 Florian Pinsker

Gravitational weak lensing by large scale structures is view as a tool to probe the bias relation between the mass and the light distributions. It is explained how a particular statistic can be used to deproject the 2D mass distribution…

Astrophysics · Physics 2007-05-23 L. Van Waerbeke

An imaging system functioning as a Veselago lens has been proposed based on the novel concept of photonic "hyper-crystal" -- an artificial optical medium synthesizing the properties of hyperbolic materials and photonic crystals. This…

Optics · Physics 2015-06-19 Zun Huang , Evgenii E. Narimanov

The LIGO experiment aims to detect and study gravitational waves using ground based laser interferometry. A critical factor to the performance of the interferometers, and a major consideration in the design of possible future upgrades, is…

General Relativity and Quantum Cosmology · Physics 2009-11-10 E. J. Daw , J. A. Giaime , D. Lormand , M. Lubinski , J. Zweizig

Strong gravitational lensing provides a wealth of astrophysical information on the baryonic and dark matter content of galaxies. It also serves as a valuable cosmological probe by allowing us to measure the Hubble constant independently of…

Astrophysics of Galaxies · Physics 2021-03-31 A. Galan , A. Peel , R. Joseph , F. Courbin , J. -L. Starck

The Laser Interferometer Gravitational-Wave Observatory forms part of the international effort to detect and study gravitational waves of astrophysical origin. One of the major obstacles for this project with the first generation detectors…

General Relativity and Quantum Cosmology · Physics 2013-03-21 Duncan M. Macleod , Stephen Fairhurst , Brennan Hughey , Andrew P. Lundgren , Larne Pekowsky , Jameson Rollins , Joshua R. Smith

Advances in data acquisition and numerical wave simulation have improved tomographic imaging techniques and results, but non-experts may find it difficult to understand which model is best for their needs. This paper is intended for these…

Geophysics · Physics 2025-01-27 Andreas Fichtner , Jeroen Ritsema , Solvi Thrastarson

The quest to manipulate light propagation in ways not possible with natural media has driven the development of artificially structured metamaterials. One of the most striking effects is negative refraction, where the light beam deflects…

Optics · Physics 2025-02-14 L. Ruks , K. E. Ballantine , J. Ruostekoski

We present the design, fabrication, and characterization of a 100 mm diameter, flat, gradient-index (GRIN) lens fabricated with high-resistivity silicon, combined with a three-layer anti-reflection (AR) structure optimized for 160-355 GHz.…

Understanding Earth's subsurface structures has been and continues to be an essential component of various applications such as environmental monitoring, carbon sequestration, and oil and gas exploration. By viewing the seismic volumes that…

Computer Vision and Pattern Recognition · Computer Science 2018-12-26 G. AlRegib , M. Deriche , Z. Long , H. Di , Z. Wang , Y. Alaudah , M. Shafiq , M. Alfarraj

We first note it is possible to construct two linear operators defined on two different domains, yet sharing the same spectrum using a geometric transform. However, one of these two operators will necessarily have spatially varying, matrix…

Fluid Dynamics · Physics 2011-10-03 Guillaume Dupont , Sebastien Guenneau , Stefan Enoch

More than half of the volume of our Universe is occupied by cosmic voids. The lensing magnification effect from those under-dense regions is generally thought to give a small dimming contribution: objects on the far side of a void are…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-18 Krzysztof Bolejko , Chris Clarkson , Roy Maartens , David Bacon , Nikolai Meures , Emma Beynon

We present the first dual-band negative index metamaterial that operates in the visible spectrum. The optimized four-functional-layer metamaterial structure exhibits the first double-negative (i.e., simultaneously negative permittivity and…

Optics · Physics 2015-06-11 Muhammad I. Aslam , Durdu Ö. Güney

A slab with relative permittivity $\epsilon = - 1 + i\delta$ and permeability $\mu = - 1 + i\delta $ has a critical distance away from the slab where a small particle will either be cloaked or imaged depending on whether it is located…

Optics · Physics 2016-06-17 Xiaohan Cui , Shubo Wang , C. T. Chan

It has been recently proved that a slab of negative refractive index material acts as a perfect lens in that it makes accessible the sub-wavelength image information contained in the evanescent modes of a source. Here we elaborate on…

Disordered Systems and Neural Networks · Physics 2013-05-29 S. Anantha Ramakrishna , J. B. Pendry

For window applications in hot climates, it is desirable to have windows with high visible transparency, while maintaining strong reflectance in both the ultraviolet and near infrared, to minimize unwanted heat gain. Given that more than…

Optics · Physics 2026-05-04 Yeonghoon Jin , Seungwon Kim , Tanuj Kumar , Mikhail A. Kats , Kyoungsik Yu

Seismology is the main tool for inferring the deep interior structures of Earth and potentially also of other planetary bodies in the solar system. Terrestrial seismology is influenced by the presence of the ocean-generated microseismic…

Earth and Planetary Astrophysics · Physics 2020-03-20 Simon C. Stähler , Mark P. Panning , Céline Hadziioannou , Ralph Lorenz , Steve Vance , Knut Klingbeil , Sharon Kedar

Wave steering by artificial materials (for example, phononic crystals and acoustic metamaterials) is a fascinating frontier in modern physics and engineering, but suffers from bulky sizes and intractable challenges in fabrication. Here, a…

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