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About the Book The study of lattice sums began when early investigators wanted to go from mechanical properties of crystals to the properties of the atoms and ions from which they were built (the literature of Madelung's constant). A parallel literature was built around the optical properties of regular lattices of atoms (initiated by Lord Rayleigh, Lorentz… (More)

The most intense colours displayed in nature result from either multilayer reflectors or linear diffraction gratings. Here we investigate the spectacular iridescence of a spine (notoseta) from the sea mouse Aphrodita sp. (Polychaeta: Aphroditidae). The spine normally appears to be deep red in colour, but when light is incident perpendicular to the axis of… (More)

We study wave propagation in mixed, 1D disordered stacks of alternating right- and left-handed layers and reveal that the introduction of metamaterials substantially suppresses Anderson localization. At long wavelengths, the localization length in mixed stacks is orders of magnitude larger than for normal structures, proportional to the sixth power of the… (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)

- N-A P Nicorovici, R C Mcphedran, S Enoch, G Tayeb
- 2008

We consider cloaking by a coated cylindrical system using plasmonic resonance, and extend previous quasistatic treatments to include the effect of finite wavelength. We show that a probe cylinder can still be cloaked at finite wavelengths, but the cloaking cylinder develops a non-zero scattering cross-section. We show that this latter effect is dominated by… (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)

We study the propagation and localization of classical waves in one-dimensional disordered structures composed of alternating layers of left-and right-handed materials ͑mixed stacks͒ and compare them with structures composed of different layers of the same material ͑homogeneous stacks͒. For weakly scattering layers, we have developed an effective analytical… (More)

We summarize the results of our comprehensive analytical and numerical studies of the effects of polarization on the Anderson localization of classical waves in one-dimensional random stacks. We consider homogeneous stacks composed entirely of normal materials or metamaterials, and also mixed stacks composed of alternating layers of a normal material and a… (More)