A STUDY OF WAVE PROPAGATION ON HELICES
ILLINOIS UNIV AT URBANA ELECTRICAL ENGINEERING RESEARCH LAB
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The determinantal equation for a narrow helix is derived by two methods, and complex-valued solutions for the phase constant are obtained. The complete k - beta diagram Brillouin diagram is given as a function of tape width and pitch angle. In order that the solutions be continuous functions of k and beta, it is necessary to change branches of the square root which appears in the determinantal equation. A discussion of solutions which are physically admissible as complex wave solutions is given, and the phase constants corresponding to the complex wave solutions are used to represent the current on a helix. Two source problems are investigated, one an infinite helix, the other a finite helix. Comparison with experiments is made with good agreement.
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