THE PROPAGATION OF CURRENT ALONG INFINITE SINUSOIDAL TAPES.
Abstract
The propagation and radiation characteristics of electric current on infinite sinusoidal conducting tapes are studied. The determinantal equation for the propagation constant is derived for both planar and ribbon tapes. With the aid of a digital computer the determinantal equation for the planar tape is solved and the results are plotted in the form of Brillouin or dispersion diagrams. The approach used to investigate the propagation characteristics of sinusoidal tapes is based on Floquet's theorem and a Fourier expansion of the space variation of the electric current on the tape structure. A filamentary electric current is assumed to be flowing along the center line of an infinite, perfectly conducting, sinusoidal tape. The current is expressed as the infinite summation of space harmonics of unknown amplitude. From the expansion for the current the vector potential is derived and thence the expressions for the electric field everywhere. An equation involving the fundamental propagation constant alone is solved approximately with numerical procedures on a digital computer, and the unknown current space harmonic amplitudes are determined.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1965
- Accession Number
- AD0622910
Entities
People
- John William Greiser
Organizations
- University of Illinois Urbana–Champaign