A STUDY OF WAVE PROPAGATION ON HELICES

Abstract

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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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1963
Accession Number
AD0402776

Entities

People

  • Paul W. Klock

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Ground and Sea Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Aircrafts
  • Boundary Value Problems
  • Electric Fields
  • Electromagnetic Fields
  • Electromagnetic Wave Propagation
  • Engineering
  • Equations
  • Integral Equations
  • Phase Velocity
  • Radiation Patterns
  • Spiral Antennas
  • Square Roots
  • Traveling Waves
  • Two Dimensional
  • Wave Propagation

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Phased Array Antenna Design.