Abstract
A coaxial transmission line consisting of conductors of elliptic cross-section is treated as a boundary-value problem. Using elliptic-cylinder wave functions, a formula is derived for the propagation constant of the allowed symmetric modes of propagation. A condition for the generation of the higher-order modes is established in terms of the physical parameters. The analysis is restricted to the case where both the inner and outer conductors are confocal. A configuration of practical interest follows for the limiting case of the inner conductor consisting of a flat strip. The resulting structure can be regarded as constituting a form of shielded "strip" transmission line. The analysis may be used to provide an approximate theory for the "rectangular" coaxial line.
Published Version
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