Graeme W. Milton

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A numerical scheme is presented to compute the response of a composite material to an applied eld. The scheme is based on an iteration that uses a Fourier transform based projection method to compute the response of a reference material to the applied eld, and a contraction mapping to relate the response of the reference material to the response of the(More)
In an electromagnetic cloak based on a transformation approach, reduced sets of material properties are generally favored due to their easier implementation in reality, although a seemingly inevitable drawback of undesired scattering exists in such cloaks. Here, the authors suggest the use of high-order transformations to create smooth moduli at the outer(More)
Metamaterials are constructed such that, for a narrow range of frequencies, the momentum density depends on the local displacement gradient, and the stress depends on the local velocity. In these models the momentum density generally depends not only on the strain, but also on the local rotation, and the stress is generally not symmetric. A variant is(More)
Solutions for the fields in a coated cylinder where the core radius is bigger than the shell radius are seemingly unphysical, but can be given a physical meaning if one transforms to an equivalent problem by unfolding the geometry. In particular the unfolded material can act as an impedance matched hyperlens, and as the loss in the lens goes to zero finite(More)
We analyze the performance of a planar lens based on realistic negative index material in a generalized geometry. We demonstrate that the conventional su-perlens design (where the lens is centered between the object and the image) is not optimal from the resolution point-of-view, develop an analytical expression for the resolution limit of a generalized(More)
The response of the " perfect lens " , consisting of a slab of lossless material of thickness d with ε s = µ s = −1 at one frequency ω 0 is investigated. It is shown that as time progresses the lens becomes increasingly opaque to any physical TM line dipole source located a distance d 0 < d/2 from the lens and which has been turned on at time t = 0. Here a(More)
Dispersion inequalities are presented to check for the self-consistency of experimentally obtained complex moduli, such as the complex dielectric constant, magnetic permeability, and complex bulk and shear moduli of viscoelastic materials. Unlike the Kramers-Kronig dispersion relations, they only require measurements over a nite frequency range. They can(More)