A variational expression for the terminal admittance of a semi-infinite dielectric rod
- 1 July 1959
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Antennas and Propagation
- Vol. 7 (3) , 207-212
- https://doi.org/10.1109/TAP.1959.1144673
Abstract
The reflection that the abrupt termination of a semi-infinite circular dielectric rod produces on theTM_{0.1}surface wave is determined here by calculating the terminal admittance of the surface wave at the end of the rod. The semi-infinite dielectric rod is regarded as an open waveguide partially filled with dielectric. The half space at the end of the rod is analyzed as a homogeneous open waveguide. The complete sets of proper and improper eigenfunctions are found for both waveguides and used to represent the transversal fields. Finally, a variational expression is set up for the admittance and an approximate value is obtained using as trial field the pureTM_{0.1}surface wave.Keywords
This publication has 2 references indexed in Scilit:
- Diffraction of surface waves by a semi-infinite dielectric slabIEEE Transactions on Antennas and Propagation, 1957
- On the Radiation Patterns of Dielectric Rods of Circular Cross Section— theTM0,1 ModeJournal of Applied Physics, 1950