| Abstract: |
| We study the boundary-value problem for the perturbation of an electrostatic potential by an infinitely long, homogeneous, biaxially anisotropic dielectric cylinder in vacuum. An affine coordinate transformation is used to convert the problem for the internal potential into one into the standard Laplace equation, and inversion of this transformation provides a series representation for the internal potential. We obtain explicit formulas for a uniaxial dielectric cylinder with distinguished axis either parallel or perpendicular to the cylinder axis. Numerical results show that the methodology is stable even for very high degrees of anisotropy and that the degree of anisotropy of the cylinder affects the spatial variations of the potential in both the external and internal regions. This is joint work with A. Lakhtakia (Penn State). |
|