For the design of steel-lined pressure tunnels and shafts in anisotropic rock, it is common practice to assume for the computation that the system stands in isotropic medium with the lowest stiffness measured in situ. In this paper, stresses and displacements in the steel liner of a particular steel-lined pressure tunnel are numerically assessed taking into account the anisotropic behavior of t...

We investigate scattering of time-harmonic electromagnetic waves by an anisotropic inhomogeneous medium. The problem is equivalently transformed into a system of strongly singular integral equations. Uniqueness and existence of a solution is shown and we examine the regularity of the solution by means of integral equations. We also prove the analyticity of the scattered eld with respect to the ...

Perdeuterated poly(styrene) is introduced as an almost artefact-free and arbitrarily scalable alignment medium for measuring residual dipolar couplings and other anisotropic NMR parameters; the spectral quality achievable in this new medium is demonstrated for HSQC spectra leading to the conformational analysis of staurosporine and homonuclear TOCSY-type experiments.

The expressions for the electromagnetic field generated by an arbitrary current source in an anisotropic medium are calculated by the method of Fourier analysis. The radiation emitted by a charged particle moving in a helical orbit of uniform pitch in a magnetoionic medium is evaluated.

We consider the scattering of time harmonic electromagnetic plane waves by a bounded, inhomogeneous, anisotropic dielectric medium and show that under certain assumptions a lower bound on the norm of the (matrix) index of refraction can be obtained from a knowledge of the smallest transmission eigenvalue corresponding to the medium. Numerical examples are given showing the efficaciousness of ou...

This article describes a parallel implementation of a ray tracing algorithm in a heterogeneous anisotropic geological medium. The shortest path method, which was used for calculations, can give ray path and travel time of seismic wave propagation even for a random and discontinuous velocity field. The high precision required in such calculations was obtained by employing a dense computational g...

A review of basic papers related to development and implementation of rather efficient mathematical methods aimed at formation of Green’s functions for various types of anisotropic media: uniaxial and biaxial, generalized gyrotropic, layered etc. is provided. Advantages and drawbacks of the methods aimed at both the analytical results and the possibility of numeric or asymptotic estimates of th...

A technique that employs a single laser beam is proposed for recording the retardance of an optical anisotropic object. The retardance pattern is converted into a polarization pattern using a quarter-wave plate and recorded on a polarization-sensitive medium. The recording medium is illuminated by homogeneous polarized light, and the light transmitted by the recording medium is analyzed to reco...

In the present paper, effect of initial stresses on the propagation of Love waves has been investigated in a fluid saturated, anisotropic, porous layer lying in welded contact over a prestressed, non-homogeneous elastic half space. The dispersion equation of phase velocity has been derived. It has been found that the phase velocity of Love waves is considerably influenced by porosity and anisot...