Electrostatic Excitation of a Conducting Toroid: Exact Solution and Thin-Wire Approximation

Autor:	Robert W. Scharstein, Howard B. Wilson
Rok vydání:	2005
Předmět:	Laplace's equation Radiation Singularity Toroid Laplace transform Mathematical analysis Separation of variables Toroidal coordinates Electrical and Electronic Engineering Integral equation Green's function for the three-variable Laplace equation Electronic Optical and Magnetic Materials Mathematics
Zdroj:	Electromagnetics. 25:1-19
ISSN:	1532-527X 0272-6343
DOI:	10.1080/02726340590522102
Popis:	Laplace's equation is solved via separation of variables in toroidal coordinates for the electrostatic potential external to a conducting torus placed in a uniform electric field and excited by an arbitrarily located point charge. The accuracy of the static thin-wire kernel approximation in an integral equation applied to the circular loop is verified using the exact results in the limit as the toroid shrinks to a ring. An equivalent lineal charge density from the exact solution agrees remarkably well with the integral equation solution for the conducting ring. Since the singularity in the Helmholtz Green's function for the electrodynamic problem is the static singularity considered herein, the results confirm the applicability of the thin-wire kernel to the scattering and radiation problems of the circular loop.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6338c25d66fea64fa6140cbb420d98ca https://doi.org/10.1080/02726340590522102 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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