In this paper we extend the standard Ultra Weak Variational Formulation (UWVF) of Maxwell’s equations in an isotropic medium to the case of an anisotropic medium. We verify that the underlying theoretical framework carries over to anisotropic media (however error estimates are not yet available) and completely describe the new scheme. We then consider TM mode scattering, show how this results i...

In this paper, we present the calculation of the effective parameters of an artificial medium made of planar conducting obstacles. The evaluation of both the effective permittivity and of the effective permeability is addressed here. It is well known that this type of artificial medium exhibits anisotropy. One possible application for this artificial medium is the fabrication of non-homogeneous...

A commonly used model for a transversely anisotropic crack rock is that by Hudson (1980, 1981). This model is based on a simplified analysis of a thin circular crack, with displacement and stress conditions specified on the boundary. These papers have a second order correction in addition to the first order term in porosity/crack density. In this paper we compare the results of Hudson with thos...

A stable method of calculation of the electromagnetic response of planar anisotropic laminates to an active source with limited distribution along the strata direction is developed. The laminates can be sandwiched between isotropic, anisotropic, or perfectly conducting covers/substrates. The source is either inside the laminates or in the cover or substrate. Based on the propagator matrix metho...

The study of surface waves in a layered media has their viable application in geophysical prospecting. This paper presents an analytical study on the dispersion of torsional surface wave in a pre-stressed heterogeneous layer sandwiched between a pre-stressed anisotropic porous semi-infinite medium and gravitating anisotropic porous half-space. The non-homogeneity within the intermediate layer a...

Many of the optimal path finding problems studied to-date are restricted to a direction-independent metric. In this paper we discuss path planning in an anisotropic medium illustrated by the fastest-path problem where speed is direction-dependent. Such problems arise in vessel routing, robotics, and aircraft navigation, where the agent’s speed is affected by the direction of waves, winds or slo...