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A variational expression for the terminal admittance of a semi-infinite dielectric rod

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2 Author(s)
Angulo, C.M. ; Brown University, Providence, RI, USA ; Chang, W.

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.

Published in:

Antennas and Propagation, IRE Transactions on  (Volume:7 ,  Issue: 3 )

Date of Publication:

July 1959

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