ELECTROMAGNETIC SURFACE-WAVE PROPAGATION ALONG A DIELECTRIC CYLINDER OF ELLIPTICAL CROSS SECTION
Abstract
The problem of electromagnetic wave propagation along a dielectric rod of elliptical cross section is considered. The field components and the dispersion relations of the principal modes are obtained. The principal modes degenerate to modes of the circular dielectric rod as the eccentricity of the elliptical rod approaches zero. It is found that there are two non-degenerate principal modes which possess no cut off frequencies. The boundary conditions for the elliptical rod cannot be satisfied by using a single product term consisting of a radial and a periodic Mathieu function of a specific order to describe the field components in the regions inside and outside the rod. It is believed that an infinite series of such product terms must be used to describe the field components in both regions. It is shown that the boundary conditions may be fulfilled if the field components in one of the two regions are represented by a single product term consisting of a radial and a periodic Mathieu function of a specific order. The field components in the other region are then represented by an infinite series of such product terms, and the problem is simplified to permit analysis. The propagation characteristics of the dominant principal modes are given theoretically and experimentally.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1962
- Accession Number
- AD0273988
Entities
People
- Cavour W. Yeh
Organizations
- California Institute of Technology