181 citations · 1.7k across the 89 of their papers we have counts for
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Mathematical analysis of the two dimensional active exterior cloaking in the quasistatic regime
Fernando Guevara Vasquez, Graeme W. Milton, Daniel Onofrei
We design a device that generates fields canceling out a known probing field inside a region to be cloaked while generating very small fields far away from the device. The fields w…
Spectral theory of a Neumann-Poincare-type operator and analysis of cloaking due to anomalous localized resonance
Habib Ammari, Giulio Ciraolo, Hyeonbae Kang +2
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 a source term in a st…
Bounds on the volume fraction of 2-phase, 2-dimensional elastic bodies and on (stress, strain) pairs in composites
Graeme Walter Milton, Loc Hoang Nguyen
Bounds are obtained on the volume fraction in a two-dimensional body containing two elastically isotropic materials with known bulk and shear moduli. These bounds use information a…
Bounds on strong field magneto-transport in three-dimensional composites
Marc Briane, Graeme W. Milton
This paper deals with bounds satisfied by the effective non-symmetric conductivity of three-dimensional composites in the presence of a strong magnetic field. On the one hand, it i…
Transformation elastodynamics and active exterior acoustic cloaking
Fernando Guevara Vasquez, Graeme W. Milton, Daniel Onofrei +1
This chapter consists of three parts. In the first part we recall the elastodynamic equations under coordinate transformations. The idea is to use coordinate transformations to man…
Universal bounds on the electrical and elastic response of two-phase bodies and their application to bounding the volume fraction from boundary measurements
Graeme W. Milton
Universal bounds on the electrical and elastic response of two-phase (and multiphase) ellipsoidal or parallelopipedic bodies have been obtained by Nemat-Nasser and Hori. Here we sh…