A Novel Asymptotic Solution to the Sommerfeld Radiation Problem: Analytic field expressions and the emergence of the Surface Waves
| Autor: | Sotirios Bourgiotis, Panayiotis Frangos, Seil Sautbekov, Ariadni Chrysostomou |
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| Rok vydání: | 2017 |
| Předmět: |
Electromagnetic field
Physics Field (physics) Mathematical analysis 78-06 Classical Physics (physics.class-ph) FOS: Physical sciences 020206 networking & telecommunications Physics - Classical Physics 02 engineering and technology Radiation Condensed Matter Physics 01 natural sciences 010305 fluids & plasmas Electronic Optical and Magnetic Materials Dipole Simple (abstract algebra) Surface wave Saddle point 0103 physical sciences 0202 electrical engineering electronic engineering information engineering Closed-form expression |
| Zdroj: | Scopus-Elsevier |
| DOI: | 10.48550/arxiv.1710.03697 |
| Popis: | 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. Comment: 14 pages, 3 figures, Submitted for publication to "Progress in Electromagnetics Research" (PIER) at 21/09/2017 |
| Databáze: | OpenAIRE |
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