Homogeneous Anisotropic Medium Research Articles

On a cracked dislocation in an anisotropic elastic medium

Abstract The solution of a cracked dislocation under uniform stress in a homogeneous anisotropic elastic medium is given. The analysis is exact within the realm of classical linear elasticity. The solution is used to deduce criteria for cleavage fracture according to some dislocation models. The results are compared with the corresponding criteria for isotropic elastic materials.

The electrodynamics of magneto-electric media

Abstract A general magneto-electric medium is one in which there is a linear, reciprocal relationship between the magnetic field and the electric polarization, and between the electric field and the magnetic polarization, as well as the more familiar linear relationship between the magnetic field and the magnetic polarization and between the electric field and electric polarization. In this paper the relationship between the fields and polarizations is expressed by means of a single tensor equation relating the field and polarization tensors in the medium. The properties of the rank four susceptibility tensor, required to establish this relationship, are investigated. A general tensor wave equation is obtained for a homogeneous anisotropic medium. The equation to the wave vector surface is obtained as a six by six determinant, which must vanish, and which gives well-known results when applied to simple anisotropic dielectric, or magnetic, crystals. When this equation is applied to an ideal magneto-electri...

Two-dimensional diffraction in homogeneous anisotropic media

Diffraction of electromagnetic waves from an arbitrary source by an anisotropic cylindrical structure or by a cylindrical structure in an anisotropic medium is very difficult to handle in general. But if the source is a line source parallel to (or a plane wave normally incident to) the axis of an infinitely long cylindrical structure, where the transverse anisotropy of the structure is not coupled to that of the axial, the problems simplify in many cases. In all of these cases, Maxwell's equations lead to a single differential equation with parameters and boundary conditions which depend on the individual problems. Examples given are perfectly conducting wedges and a perfectly conducting cylinder in anisotropic media. There are a few cases where the electromagnetic waves depend only on the axial property of the medium, i.e. the waves do not see the anisotropic nature of the medium.