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2018-01-17
A Novel Asymptotic Solution to the Sommerfeld Radiation Problem: Analytic Field Expressions and the Emergence of the Surface Waves
By
Progress In Electromagnetics Research M, Vol. 64, 9-22, 2018
Abstract
The well-known ``Sommerfeld radiation problem" of a small -Hertzian- vertical dipole above flat lossy ground is reconsidered. The problem is examined in the spectral domain, through which it is proved to yield relatively simple integral expressions for the received Electromagnetic (EM) field. Then, using the Saddle Point method, novel analytical expressions for the scattered EM field are obtained, including sliding observation angles. As a result, a closed form solution for the subject matter is provided. Also, the necessary conditions for the emergence of the so-called Surface Wave are discussed as well. A complete mathematical formulation is presented, with detailed derivations where necessary.
Citation
Seil S. Sautbekov Sotirios Bourgiotis Ariadni Chrysostomou Panayiotis V. Frangos , "A Novel Asymptotic Solution to the Sommerfeld Radiation Problem: Analytic Field Expressions and the Emergence of the Surface Waves," Progress In Electromagnetics Research M, Vol. 64, 9-22, 2018.
doi:10.2528/PIERM17082806
http://www.jpier.org/PIERM/pier.php?paper=17082806
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