Hertzian dipole radating over a lossy earth or sea: some early and late 20th-century controversies

Autor:	R.E. Collin
Rok vydání:	2004
Předmět:	Physics business.industry Geometry Lossy compression Condensed Matter Physics law.invention Dipole Error function Optics Square root law Trapped surface Dipole antenna Electrical and Electronic Engineering Asymptotic expansion business Sign (mathematics)
Zdroj:	IEEE Antennas and Propagation Magazine. 46:64-79
ISSN:	1045-9243
DOI:	10.1109/map.2004.1305535
Popis:	This paper presents a contemporary solution to the problem of radiation from a vertical Hertzian dipole over a lossy earth. Sommerfeld's 1909 solution to the problem is re-examined. It is demonstrated that a change in sign in the square root of the numerical distance is mathematically not allowed. Thus, the sign error that has been claimed in the technical literature for more than 65 years is a myth. Recent work by King and Sandier is also examined. It is found that due to an incorrect asymptotic expansion of the complementary error function for the problem of a lossy earth or sea covered with a thin dielectric layer, a trapped surface wave was missed in their solution.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5e001629a9d60221aba62f86062aab75 https://doi.org/10.1109/map.2004.1305535 Zobrazit plný text záznamu