45,430 research outputs found

    Invisibility and PT-symmetry

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    For a general complex scattering potential defined on a real line, we show that the equations governing invisibility of the potential are invariant under the combined action of parity and time-reversal (PT) transformation. We determine the PT-symmetric an well as non-PT-symmetric invisible configurations of an easily realizable exactly solvable model that consists of a two-layer planar slab consisting of optically active material. Our analysis shows that although PT-symmetry is neither necessary nor sufficient for the invisibility of a scattering potential, it plays an important role in the characterization of the invisible configurations. A byproduct of our investigation is the discovery of certain configurations of our model that are effectively reflectionless in a spectral range as wide as several hundred nanometers.Comment: 11 pages, 3 figures, revised version, accepted for publication in Phys.Rev.

    Worsening of the Asian Financial Crisis: Who is to Blame?

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    Some observers have argued that the IMF’s focus on the institutional weaknesses of the Asian crisis countries that are inherently difficult to remedy and not necessarily relevant for the crisis, and that their inclusion in IMF programs exacerbated the crisis. This paper argues that besides IMF actions, it is important to consider other factors such as governments’ own policy actions and the degree of socio-political instability in affected countries to better assess the factors that might have exacerbated the crisis. Using Indonesia as a case study, we show that political turmoil and government policy actions taken independent of IMF programs lowered the dollardenominated stock market returns, while IMF-related news did not have any significant effect the returns. However, the negative impact of independent government policy announcements on investor wealth was larger than that of political instability.http://deepblue.lib.umich.edu/bitstream/2027.42/40044/3/wp658.pd

    A Predictive Model for Convective Flows Induced by Surface Reactivity Contrast

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    Concentration gradients in a fluid along a reactive surface due to contrast in surface reactivity generate convective flows. These flows result from contributions by electro and diffusio osmotic phenomena. In this study we have analyzed reactive patterns that release and consume protons, analogous to bimetallic catalytic conversion of peroxide. Here, we present a simple analytical model that accurately predicts the induced potentials and consequent velocities in such systems over a wide range of input parameters. Our model is tested against direct numerical solutions to the coupled Poisson, Nernst-Planck, and Navier-Stokes equations. Our analysis can be used to predict enhancement of mass transport and the resulting impact on overall catalytic conversion, and is also applicable to predicting the speed of catalytic nanomotors

    Hunting for the alpha: BρρB\to \rho\rho, BππB \to \pi\pi, BπρB \to\pi\rho

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    The hypothesis of the smallness of penguin contribution to charmless strangeless Bd(Bˉd)B_d (\bar B_d) decays allows to determine with high accuracy the value of angle α\alpha from the currently available BρρB \to \rho\rho, BππB \to \pi\pi and BρπB\to \rho\pi decay data.Comment: 9 page

    An optical nanocavity incorporating a fluorescent organic dye having a high quality factor

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    We have fabricated an L3 optical nanocavity operating at visible wavelengths that is coated with a thin-film of a fluorescent molecular-dye. The cavity was directly fabricated into a pre-etched, free-standing silicon-nitride (SIN) membrane and had a quality factor of Q = 2650. This relatively high Q-factor approaches the theoretical limit that can be expected from an L3 nanocavity using silicon nitride as a dielectric material and is achieved as a result of the solvent-free cavity-fabrication protocol that we have developed. We show that the fluorescence from a red-emitting fluorescent dye coated onto the cavity surface undergoes strong emission intensity enhancement at a series of discrete wavelengths corresponding to the cavity modes. Three dimensional finite difference time domain (FDTD) calculations are used to predict the mode structure of the cavities with excellent agreement demonstrated between theory and experiment

    Geometrical Phase Transition on WO3_3 Surface

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    A topographical study on an ensemble of height profiles obtained from atomic force microscopy techniques on various independently grown samples of tungsten oxide WO3_3 is presented by using ideas from percolation theory. We find that a continuous 'geometrical' phase transition occurs at a certain critical level-height δc\delta_c below which an infinite island appears. By using the finite-size scaling analysis of three independent percolation observables i.e., percolation probability, percolation strength and the mean island-size, we compute some critical exponents which characterize the transition. Our results are compatible with those of long-range correlated percolation. This method can be generalized to a topographical classification of rough surface models.Comment: 3 pages, 4 figures, to appear in Applied Physics Letters (2010
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