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Tape-helix transmission lines and helical coils have impor- tant applications in communication technology, signal measurement, pulse delay, pulse forming and antenna technology. In this paper, a set of fully dispersive propagation theory based on matrix method is flrstly introduced to explain the propagation characteristics of travelling elec- tromagnetic waves in multiple stages of helical Blumlein transmission lines with flnite lengths. The difierent stages of helical transmission lines are fllled with difierent propagation dielectrics, and the efiects of dispersion and dielectrics on the propagation matrix and S-parameter matrix of the travelling waves are analyzed in detail. Relations of the exciting current waves in the series-connected helical Blumlein trans- mission lines are studied, and the dispersive transmission coe-cients and re∞ection coe-cients of electromagnetic waves at difierent dielec- tric ports are also initially analyzed. As an innovation, the proposed fully dispersive propagation theory which was demonstrated by simu- lation and experiments can substitute the non-propagating tape-helix dispersion theory and the non-dispersive telegraphers' equation to an- alyze the helical transmission lines.

electromagnetic waves

DISPERSION AND DIELECTRIC EFFECTS ON REFLECTION AND TRANSMISSION OF ELECTROMAGNETIC WAVES PROPAGATING IN MULTIPLE STAGES OF TAPE-HELIX BLUMLEIN TRANSMISSION LINES