On Cloaking, Anomalous Resonance, and Superlenses

A review of anomalous resonance, its associated cloaking, and superlensing , with R.C.McPhedran
ArXiv Version .

Bounds on Herglotz functions and fundamental limits of broadband passive quasistatic cloaking
, with M. Cassier
ArXiv Version .

Sensitivity of anomalous localized resonance phenomena with respect to dissipation
, with T. Meklachi, D. Onofrei, A. E. Thaler, and G. Funchess
ArXiv Version .

Spectral theory of a NeumannPoincaretype operator and
analysis of cloaking due to anomalous localized resonance II
, with H. Ammari, G. Ciraolo, H. Kang, and H. Lee
ArXiv Version .

Anomalous localized resonance using a folded geometry in three dimensions
, with H. Ammari, G. Ciraolo, H. Kang, and H. Lee
ArXiv Version .

Spectral theory of a NeumannPoincaretype operator and analysis
of cloaking due to anomalous localized resonance
, with H. Ammari, G. Ciraolo, H. Kang, and H. Lee
ArXiv Version .

Mathematical analysis of the two dimensional active exterior
cloaking in the quasistatic regime
, with F. Guevara Vasquez and D. Onofrei
ArXiv Version .

Exterior cloaking with active sources in two dimensional acoustics
, with F. Guevara Vasquez and D. Onofrei
ArXiv Version .

Broadband exterior cloaking
, with F. Guevara Vasquez and D. Onofrei
ArXiv Version .

Active exterior cloaking for the 2D Laplace and Helmholtz equations
, with F. Guevara Vasquez and D. Onofrei
ArXiv Version .

Cloaking by plasmonic resonance among systems of
particles: cooperation or combat?
, with R. C. McPhedran, N.A. P. Nicorovici, and L.C.Botten.

Solutions in folded geometries, and associated cloaking due to
anomalous resonance
, with N.A. P. Nicorovici, R. C. McPhedran, K. Cherednichenko, and Z. Jacob
ArXiv Version .

Nonmagnetic cloak with minimized scattering
, with W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev
ArXiv Version .

Quasistatic cloaking of twodimensional
polarizable discrete systems by anomalous resonance
with N.A.Nicorovici, R.C.McPhedran, and L.C.Botten.

Opaque perfect lenses
, with N.A. P. Nicorovici and R. C. McPhedran
ArXiv Version .

On cloaking for elasticity and physical equations with a
transformation invariant form
, with M. Briane and J. R. Willis.

Partial resonances of threephase composites at long wavelengths
, with N.A. P. Nicorovici, R. C. McPhedran, and L. C. Botten
ArXiv Version .

On the cloaking effects associated with anomalous localized resonance
, with N.A. P. Nicorovici

Optimizing the superlens: manipulating geometry to enhance the resolution
, with V. A. Podolskiy and N. A. Kuhta .

A proof of superlensing in the quasistatic regime, and limitations of
superlenses in this regime due to anomalous localized resonance
, with N.A. P. Nicorovici, R. C. McPhedran, and V. A. Podolskiy.
On the Hall Effect, and magnetotransport in composites

Theory of the Hall effect in threedimensional metamaterials , with C. Kern, M. Kadic, and M. Wegener
ArXiv Version .

Bounds on strong field magnetotransport in threedimensional composites
, with M. Briane
ArXiv Version .

New bounds on strong field magnetotransport in
multiphase columnar composites
, with M. Briane.
Hal.archives Version

An antisymmetric effective Hall matrix
, with M. Briane
Hal.archives Version .

Giant Hall effect in composites
, with M. Briane.
Hal.archives Version .

Homogenization of the threedimensional Hall effect and
change of sign of the {Hall}coefficient
, with M. Briane
Hal.archives Version .

Homogenization of the twodimensional Hall effect
, with M. Briane and D. Manceau.
Hal.archives Version .

Reversal of the Hall coefficient sign under homogenization
, with M. Briane.
On the possible elastic, mechanical, and elastodynamic properties of metamaterials

Stiff competition

Near optimal pentamodes as a tool for guiding stress while minimizing compliance in 3dprinted materials:
a complete solution to the weak Gclosure problem for 3dprinted materials , with M. CamarEddine
ArXiv Version .

Towards a complete characterization of the effective elasticity tensors
of mixtures of an elastic phase and an almost rigid phase
, with M. Briane and D. Harutyunyan
ArXiv Version .

On the possible effective elasticity tensors of 2dimensional
and 3dimensional printed materials
, with M. Briane and D. Harutyunyan
ArXiv Version .

New examples of threedimensional dilational materials
,
ArXiv Version .

Rigorous bounds on the effective moduli of composites and
inhomogeneous bodies with negativestiffness phases
, with D. Kochmann
ArXiv Version .

On threedimensional dilational elastic metamaterials
, with T. Buckmann, R. Schittny, M. Thiel, M. Kadic, and M. Wegener
ArXiv Version .

Adaptable nonlinear bimode metamaterials
with rigid bars, pivots, and actuators
,
ArXiv Version .

Complete characterization of the macroscopic
deformations of periodic unimode metamaterials of rigid
bars and pivots
,
ArXiv Version .

A metamaterial having a frequency dependent
elasticity tensor and a zero effective mass density
, with P. Seppecher
ArXiv Version .

New metamaterials with macroscopic behavior outside
that of continuum elastodynamics
,
ArXiv Version .

On modifications of Newton's second law and linear
continuum elastodynamics
, with J. R. Willis.
Spacetime microstructures and hyperbolic metamaterials

Field Patterns: A new type of wave with infinitely degenerate band structure
, with O. Mattei
ArXiv Version .

Field patterns without blow up
, with O. Mattei
ArXiv Version .

Field Patterns: A New Mathematical Object
, with O. Mattei
ArXiv Version .

The searchlight effect in hyperbolic materials
, with R. C. McPhedran and A. Sihvola
ArXiv Version .
Review of the subject of metamaterials

3D metamaterials
, with M.Kadic, M. van Hecke, and M.Wegener
Leiden Repository Version .
On FFT algorithms and other numerical results for composites

Convergence of iterative methods based on Neumann series for composite materials: theory and practice ,
with H. Moulinec and P. Suquet
ArXiv Version .

Spectral superresolution in metamaterial composites
, with J. Helsing and R. C. McPhedran
ArXiv Version .

An accelerated FFT algorithm for thermoelastic and nonlinear composites
, with V. Vinogradov.
Homogenization and approximations for effective moduli of composites

Approximating the effective tensor as a function of the component tensors in twodimensional composites of two anisotropic phases
ArXiv Version .

High frequency homogenization for travelling waves in periodic media
, with D. Harutyunyan and R. Craster
ArXiv Version .

Effective conductivities of thininterphase composites
, with B. Alali
ArXiv Version .

An effective medium theory for multiphase matrixbased
dielectric composites with randomly oriented ellipsoidal inclusions
, with Y. Benveniste.

Realizability of metamaterials with prescribed
electric permittivity and magnetic permeability tensors
,
ArXiv Version .

The effective medium approximation and the average field approximation
visvis the HashinShtrikman bounds in twophase matrixbased composites. II The
generalized selfconsistent scheme
, with Y. Benveniste

The effective medium approximation and the average field approximation vis\'avis the HashinShtrikman bounds in twophase
matrixbased composites. I The selfconsistent scheme in matrixbased composites
, with Y. Benveniste

The total creep of viscoelastic composites under hydrostatic
or antiplane loading
with V. Vinogradov.

Nonlocal interactions in the homogenization closure of
thermoelectric functionals
, with M. CamarEddine.

On optimizing the properties of hierarchical laminates using
Pontryagin's maximum principle
.
On realizability of fields in composites and bodies

Isotropic realizability of current fields in R^3
, with M. Briane
Hal.archives Version .

Which electric fields are realizable in conducting materials?
, with M. Briane and A. Treibergs
ArXiv Version .
On quasiconvexity, Q*convenvexity, boundary field equalities and inequalities

A new route to finding bounds on the spectrum of many physical operators ,
ArXiv Version .

Exact relations for Green's functions in linear PDE and boundary field equalities: a generalization of conservation laws , with D. Onofrei
ArXiv Version .

Towards characterization of all 3 x 3 extremal quasiconvex quadratic forms
, with D. Harutyunyan
ArXiv Version .

On the relation between extremal elasticity tensors with
orthotropic symmetry and extremal polynomials
, with D. Harutyunyan
ArXiv Version .

Addendum to ``Sharp inequalities which generalize the divergence
theorem: an extension of the notion of quasiconvexity
,
ArXiv Version .

Explicit examples of extremal quasiconvex quadratic forms that are not polyconvex
, with D. Harutyunyan
ArXiv Version .

Sharp inequalities which generalize the
divergence theorem: an extension of the notion of quasiconvexity
,
ArXiv Version .
On Analytic Materials

Analytic Materials
,
ArXiv Version .
On Variational Principles for Wave Equations in Lossy Media

Bounds on complex polarizabilities and a new perspective on scattering by a lossy inclusion
ArXiv Version .

Minimum variational principles for timeharmonic
waves in a dissipative medium and associated variational principles of HashinShtrikman type
, with J. Willis
ArXiv Version .

Minimization variational principles for acoustics,
elastodynamics, and electromagnetism in lossy inhomogeneous bodies at fixed frequency
, with P. Seppecher and G. Bouchitte
ArXiv Version .
On Networks and Discrete Models

On the forces that cable webs under tension can support and how to design cable webs to channel stresses , with G. Bouchitte, O. Mattei, and P. Seppecher.
ArXiv Version .

The set of forces that ideal trusses, or wire webs, under tension can support
ArXiv Version .

Complete characterization and synthesis of the response
function of elastodynamic networks
, with F. Guevara Vasquez and D. Onofrei
ArXiv Version .

Hybrid electromagnetic circuits
, with P. Seppecher
ArXiv Version .

Electromagnetic circuits
, with P. Seppecher
ArXiv Version .

Realizable response matrices of multiterminal electrical,
acoustic and elastodynamic networks at a given frequency
, with P. Seppecher
ArXiv Version .
On bounding the size inclusion in a body, or fields in that inclusion

Criteria for guaranteed breakdown in twophase inhomogeneous bodies
, with P. Bardsley, M. S. Primrose, M. Zhao, J. Boyle, N. Briggs,
and Z. Koch
ArXiv Version .

Bounds on the volume of an inclusion in a body from a
complex conductivity measurement
, with A. Thaler
ArXiv Version .

Exact determination of the volume of an inclusion in a body
having constant shear modulus
, with A. Thaler
ArXiv Version .

Bounds on the size of an inclusion using the translation method
for twodimensional complex conductivity
, with H. Kang, K. Kim, H. Lee, and X. Li
ArXiv Version .

Bounds on the volume fraction of the twophase shallow shell
using one measurement
, with H. Kang and J.N. Wang
ArXiv Version .

Bounds on the volume fractions of two materials in a
three dimensional body from boundary measurements by the translation method
, with H. Kang
ArXiv Version .

Bounds on the volume fraction of 2phase, 2dimensional
elastic bodies and on (stress, strain) pairs in composites
, with L. H. Nguyen
ArXiv Version .

Universal bounds on the electrical and elastic response of twophase bodies and their application to bounding the volume fraction from boundary measurements
,
ArXiv Version .

Sharp bounds on the volume fractions of two materials
in a twodimensional body from electrical boundary measurements: the translation method
, with H. Kang and E. Kim
ArXiv Version .
On the PolyaSzego and Eshelby conjectures

Progress on the strong Eshelby's conjecture
and extremal structures for the elastic moment tensor
, with H. Ammari, Y. Capdeboscq, H. Kang, H. Lee, and H. Zribi
ArXiv Version .

Inclusion pairs satisfying Eshelby's uniformity property
, with H. Kang and E. Kim.

Solutions to the PolyaSzego conjecture and the weak Eshelby conjecture
, with H. Kang
ArXiv Version .

On conjectures of PolyaSzego and Eshelby
, with H. Kang.
On climbing ropes

On ideal dynamic climbing ropes
, with D. Harutyunyan, T. J. Dick, and J. Boyer
ArXiv Version .