Search Results - "Milton, Graeme W."

Spectral Theory of a Neumann–Poincaré-Type Operator and Analysis of Cloaking Due to Anomalous Localized Resonance by Ammari, Habib, Ciraolo, Giulio, Kang, Hyeonbae, Lee, Hyundae, Milton, Graeme W.

“…The aim of this paper is to give a mathematical justification of cloaking due to anomalous localized resonance (CALR). We consider the dielectric problem with…”
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On modifications of Newton's second law and linear continuum elastodynamics by Milton, Graeme W, Willis, John R

“…In this paper, we suggest a new perspective, where Newton's second law of motion is replaced by a more general law which is a better approximation for…”
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On three-dimensional dilational elastic metamaterials by Bückmann, Tiemo, Schittny, Robert, Thiel, Michael, Kadic, Muamer, Milton, Graeme W, Wegener, Martin

“…Dilational materials are stable, three-dimensional isotropic auxetics with an ultimate Poisson's ratio of −1. Inspired by previous theoretical work, we design…”
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Field patterns without blow up by Mattei, Ornella, Milton, Graeme W

“…Field patterns, first proposed by the authors in Milton and Mattei (2017 Proc. R. Soc. A 473 20160819), are a new type of wave propagating along orderly…”
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On the cloaking effects associated with anomalous localized resonance by Milton, Graeme W, Nicorovici, Nicolae-Alexandru P

“…where…”
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A Possible Explanation of Dark Matter and Dark Energy Involving a Vector Torsion Field by Milton, Graeme W.

“…A simple gravitational model with torsion is studied, and it is suggested that it could explain the dark matter and dark energy in the universe. It can be…”
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Theory of the Hall effect in three-dimensional metamaterials by Kern, Christian, Milton, Graeme W, Kadic, Muamer, Wegener, Martin

“…We apply homogenization theory to calculate the effective electric conductivity and Hall coefficient tensor of passive three-dimensionally periodic…”
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Solutions to the Pólya–Szegö Conjecture and the Weak Eshelby Conjecture by Kang, Hyeonbae, Milton, Graeme W.

“…Eshelby showed that if an inclusion is of elliptic or ellipsoidal shape then for any uniform elastic loading the field inside the inclusion is uniform. He then…”
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3D metamaterials by Kadic, Muamer, Milton, Graeme W., van Hecke, Martin, Wegener, Martin

“…Metamaterials are rationally designed composites aiming at effective material parameters that go beyond those of the ingredient materials. For example,…”
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Some open problems in the theory of composites by Milton, Graeme W.

“…A selection of open problems in the theory of composites is presented. Particular attention is drawn to the question of whether two-dimensional, two-phase…”
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Planar polycrystals with extremal bulk and shear moduli by Milton, Graeme W.

“…Here we consider the possible bulk and shear moduli of planar polycrystals built from a single crystal in various orientations. Previous work gave a complete…”
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Field patterns: a new mathematical object by Milton, Graeme W., Mattei, Ornella

“…Field patterns occur in space–time microstructures such that a disturbance propagating along a characteristic line does not evolve into a cascade of…”
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A proof of superlensing in the quasistatic regime, and limitations of superlenses in this regime due to anomalous localized resonance by Milton, Graeme W, Nicorovici, Nicolae-Alexandru P, McPhedran, Ross C, Podolskiy, Viktor A

“…Phys. Rev. B…”
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An Extremal Problem Arising in the Dynamics of Two‐Phase Materials That Directly Reveals Information about the Internal Geometry by Mattei, Ornella, Milton, Graeme W., Putinar, Mihai

“…In two‐phase materials, each phase having a non‐local response in time, it has been found that for some driving fields the response somehow untangles at…”
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Minimization variational principles for acoustics, elastodynamics and electromagnetism in lossy inhomogeneous bodies at fixed frequency by Milton, Graeme W, Seppecher, Pierre, Bouchitté, Guy

“…The classical energy minimization principles of Dirichlet and Thompson are extended as minimization principles to acoustics, elastodynamics and…”
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Tight bounds correlating peak absorption with Q-factor in composites and metallic clusters of particles by Deshmukh, Kshiteej J., Milton, Graeme W.

“…Resonances are fundamentally important in the field of nano-photonics and optics. Thus, it is of great interest to know what are the limits to which they can…”
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On cloaking for elasticity and physical equations with a transformation invariant form by Milton, Graeme W, Briane, Marc, Willis, John R

“…In this paper, we investigate how the form of the conventional elastodynamic equations changes under curvilinear transformations. The equations get mapped to a…”
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The set of forces that ideal trusses, or wire webs, under tension can support by Milton, Graeme W.

“…The problem of determining those multiplets of forces, or sets of force multiplets, acting at a set of points, such that there exists a truss structure, or…”
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An energy conserving mechanism for temporal metasurfaces by Deshmukh, Kshiteej J., Milton, Graeme W.

“…Changing the microstructure properties of a space–time metamaterial while a wave is propagating through it, in general, requires addition or removal of energy,…”
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Convergence of iterative methods based on Neumann series for composite materials: Theory and practice by Moulinec, Hervé, Suquet, Pierre, Milton, Graeme W.

“…Summary Iterative fast Fourier transform methods are useful for calculating the fields in composite materials and their macroscopic response. By iterating back…”
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