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research article
The Sommerfeld Halfspace Problem Redux: Alternative Field Representations, Role of Zenneck and Surface Plasmon Waves
The problem of a vertical Hertzian dipole radiating in the presence of a lossy conducting halfspace, first formally solved by Sommerfeld in 1909, is revisited. Using rigorous operator theory concepts and the characteristic Green function procedure, alternative field representations are developed and their merits discussed. A closed-form asymptotic expression for the surface field is also derived and the role of the Zenneck and surface plasmon (SP) waves is elucidated. Numerical results are presented to validate the theory, including examples from radio to THz frequencies.
Type
research article
Web of Science ID
WOS:000367739000053
Authors
Publication date
2015
Published in
Volume
63
Issue
12
Start page
5777
End page
5790
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
February 16, 2016
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