Azimuthally Propagating Modes in an Axially-Truncated, Circular, Coaxial Waveguide
Abstract
In this note we derive and examine the modal properties of the Azimuthally Propagating, Truncated, Cylindrical, Coaxial Waveguide. This guide is defined by an inner and outer radii, and a width. We derive the governing equations for the electromagnetic fields of the TEz and TMz azimuthally propagating modes. First, the characteristic equations that define the propagation constants of each mode are derived; then, the electric and magnetic fields are explicitly expressed. With these results the mode impedances are formulated, and the impedance of the propagating mode in the transition section can be calculated. This value of the transition section s impedance can then be used to impedance match the transition section to the transmission line. Finally, as an example, a transmission line transition geometry is defined for which the electric and magnetic fields of the lowest order TE and TM modes are computed and graphed. An Appendix to this note briefly discusses the selection of the form of the vector potentials used to formulate the TE and TM modes.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 2003
- Accession Number
- ADA423939
Entities
People
- Clifton C. Courtney