This paper describes some numerical experiments that were performed on wave propagation in a randomly generated anisotropic heterogeneous elastic media. By comparison with more classical, homogeneous media, several numerical issues arise that are presented in detail. In particular, an appropriate parameterization has to be chosen for the field of mechanical properties, and the Perfectly Matched...

In common media, electromagnetic wave always possesses a fluctuant field variation, analogous to an undulant surface of sea. While electromagnetic wave in the media with zero index metamaterials (ZIMs), whose refractive indices are near zero, homogeneous or constant field distribution will emerge, resembling a tranquil surface of lake. Such impression almost could be found in all previous liter...

— This paper offers a conceptually straightforward method for the calculation of stresses in polarisable media based on the notion of a drive form and its property of being closed in spacetimes with symmetry. After an outline of the notation required to exploit the powerful exterior calculus of differential forms, a discussion of the relation between Killing isometries and conservation laws for...

The optical properties of cholesteric and chiral smectic liquid crystals are studied, in the limit of pitch smaller than the wavelength of visible light, by means of a formalism borrowing techniques developed to explain form birefringence effects in particulate media. The behaviour of actual stratified anisotropic substances is shown to be accurately approximated, in this limit, by an effective...

Some of the basic developments in the theory of electromagnetic field representation in terms of Hertz vectors are reviewed. A solution for the field in an inhomogeneous anisotropic medium is given in terms of the two Hertz vectors. Conditions for presentation of the field in terms of uncoupled transverse electric and transverse magnetic modes, in a general orthogonal coordinate system, are der...

The second-order theory of partial coherence for scalar and TE or TM fields is developed for weakly periodic media, and the van Cittert-Zernike theorem of classical coherence theory is generalized for such media. The coherence properties of a wave field, generated by a quasi-homogeneous source distribution at the entrance plane of a finite weakly periodic medium, are calculated both inside such...

We present a new technique for choosing spatial regions for X-ray spectroscopy, called " contour binning ". The method chooses regions by following contours on a smoothed image of the object. In addition we re-explore a simple method for adaptively smoothing X-ray images according to the local count rate, we term " accumulative smoothing " , which is a generalisation of the method used by FADAP...

Previous finite difference codes developed for this consortium were unstable at rough, sharp liquid-solid interfaces. In this paper we present results from a method developed by Nicoletis (1981) and Bhasavanija (1983) which is stable at rough, sharp liquid-solid interfaces. The method gives acceptable accuracy for the vertically homogeneous case when compared with discrete wavenumber results. E...

Asymmetric catalysis in flow has been attracting much attention very recently because of the potential advantages over its batchwise counterpart, such as highthroughput screening and synthesis, easy automation with the integration of on-demand reaction analysis, little or no reaction workup, and potential long-term use of the catalysts in the case of heterogeneous catalysis. Homogeneous asymmet...