DiHraction by a Cylinder in a Locally Uniaxial Medium With Azimuthal Optic Axis

Abstract

An exact solution of Maxwell's equations is given for the problem of a magnetic line source parallel to the axis of a perfectly conducting cylinder in an inhomogeneous uniaxial medium of infinite extent. The inhomogeneity is due to the curvature of the lines of force of the static magnetic field responsible for the anistropy of the medium. These lines of force are taken to be concentric with the cylinder. The exact solution is transformed, for frequencies above the plasma frequency and for large cylinder radius, to a more rapidly convergent form which is given a geometric interpretation. This geometric interpretation can then be used to obtain approximate solutions when the magnetic field and the scatterer are more complicated and do not admit an exact solution of Maxwell's equations.