FIELD OF AN AXIALLY SLOTTED CIRCULAR CYLINDER CLAD WITH AN INHOMOGENEOUS DIELECTRIC
Rept. for Aug 1965-Jan 1966
ARIZONA UNIV TUCSON ENGINEERING EXPERIMENT STATION
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The problem of an axial slot on a circular cylinder clad with a radially inhomogeneous plasma dielectric was considered recently by Rusch. Although his formulation is quite general inasmuch as it admits a realistic approximation to the plasma sheath inhomogeneities, the resulting solution is not well suited for computations of field patterns of large cylinders. In the present formulation the author considers the dielectric permittivity profile of the form EPPb2p, a P b, where a is the radius of the conducting cylinder, b is the outer radius of the dielectric coating and p is an arbitrary parameter. It follows that the assumed profile is capable of representing an inhomogeneous cold plasma when p 0 and a real dielectric when p 0. The apparent advantage of the present formulating is the fact that the wave equation can be solved in terms of known functions and the solution can be extended to large cylinders. Field expressions appropriate to small and large cylinders are found using standard methods of harmonic series representation, Watson Transformation and saddle point integration. In the case of large cylinders coated with cold plasma, the radiation patterns are plotted for various combinations of the cylinder radius, thickness of the coating, and the inhomogeneity gradient.
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