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This contribution concerns anisotropic elliptic inclusions in a static and uniform excitation field. In particular, the discussion considers anisotropy which is axial in a way that is defined by the elliptic coordinate system. This type of axial anisotropy has been referred to as “radial anisotropy”, although other varieties of radial anisotropy do exist for other geometries. In case of an ellipse,...
This paper discusses a spheroidal scatterer in a uniform, static electric field. The scatterer is assumed to be anisotropic and inhomogeneous in a way that relates to the spheroidal coordinate systems, that come in two varieties. The study expands on former research conducted upon radially anisotropic (RA) spheres. The new class of objects concerned resembles the formerly studied RA spheres, with...
This contribution describes the effect of geometric and material properties on the electrostatic scattering from a spheroidal object. The object is assumed to be anisotropic in a way that aligns the axis of anisotropy with the unit vectors of the spheroidal coordinate system. It is further assumed that the object is immersed in a homogeneous background medium, which is permeated by a uniform and static...
This contribution describes a spheroidal inclusion which consists of anisotropic material. The electrical response is solved for a static and uniform excitation field. The anisotropy of the inclusion is assumed to be spheroidally radial, which means that a radially oriented electric field sees a different material parameter as compared to a tangentially oriented one but the field makes no difference...
The systropic sphere is a spherical scatterer whose axes of anisotropy are defined by spherical coordinates. This contribution discusses the electrostatic scattering from a systropic sphere with extreme material parameters. The permittivity divides into three component in the spherical coordinates. Larger component values produce more polarizability, but there is a limit to the increase of the polarizability...
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