Changes in arterial wall composition and function underlie all forms of vascular disease. The fundamental structural and functional unit of the aortic wall is the medial lamellar unit (MLU). While the basic composition and organization of the MLU is known, three-dimensional (3D) microstructural details are tenuous, due (in part) to lack of three-dimensional data at micro- and nano-scales. We ap...

Changes in the structure of the "normal" ventricular wall adjacent to an infarcted area involve all components of the myocardium (myocytes, fibroblasts and the extracellular matrix, and the coronary vasculature) and their three-dimensional structural relationship. Assessing changes in these components requires tracking material markers in the remodeling tissue over long periods of time with a t...

We investigate the behavior of magnetoactive elastomers (MAEs) with periodic and random distributions of circular and elliptical fibers. For the MAEs with periodic microstructures, we develop finite element models and determine the local fields as well as the effective properties of MAEs with rectangular and quasi-hexagonal unit cells. For the MAEs with random microstructures, we derive a close...

Subsuns, Bottlinger's rings, and elliptical halos are simulated by the use of a Monte Carlo model; reflection of sunlight from almost horizontal ice crystals is assumed. Subsuns are circular or elliptical spots seen at the specular reflection point when one flies over cirrus or cirrostratus clouds. Bottlinger's rings are rare, almost elliptical rings centered about the subsun. Elliptical halos ...

We have finalized the old (1979) results from [11] about enumeration of connected components of moduli or real polarized K3 surfaces. As an application, using recent results of [13] (see also math.AG/0312396), we completely classify real polarized K3 surfaces which are deformations of real hyper-elliptically polarized K3 surfaces. This could be important in some questions, because real hyper-el...

The formalism applied to superelastic electron scattering from laser-excited atoms has to date assumed perfect polarization of the laser light. We consider the effects of imperfect polarization, deriving an expression for the superelastic scattering rate from target atoms optically pumped with elliptically polarized light, and show how imperfect polarization effects can be measured and minimize...

The circular polarization and the absolute intensity of the elliptically polarized synchrotron radiation were measured in the VUV range as functions of the wavelength and of the vertical emission angle with respect to the orbit plane of the 2.5 GeV synchrotron in Bonn. In the wavelength range from 100 to 40 nm the absolute intensity and the circular polarization of the radiation with a bandwith...

When linearly polarized light propagates through a medium in which elliptically polarized light would undergo self-rotation, squeezed vacuum can appear in the orthogonal polarization. A simple relationship between self-rotation and the degree of vacuum squeezing is developed. Taking into account absorption, we find the optimum conditions for squeezing in any medium that can produce self-rotatio...

Differential Stark shift compensation for ground-state 87Rb atoms trapped in an elliptically polarized optical lattice and “magic” magnetic field was recently proposed and demonstrated experimentally by N. Lundblad et al. [e-print arXiv:0912.1528] and analyzed theoretically by A. Derevianko [e-print arXiv:0912.3233]. Here we demonstrate enhanced hyperfine coherence times using the magic field t...

Localization of compact invariant sets allows understanding the long-time behavior of a chaotic system. In this paper we apply the solution of the conditional extremum problem to the study of a model of a permanent magnet synchronous motor. The localization set is given by a one-parameter set of ellipsoids, crossed by an elliptical paraboloid and a cylinder. This improves the initial ellipsoida...