Space-Curve Types of Distributions and Sources
IEEE ANTENNAS AND PROPAGATION MAGAZINE, vol.54, pp.68-85, 2012 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 54
- Publication Date: 2012
- Doi Number: 10.1109/map.2012.6293953
- Journal Name: IEEE ANTENNAS AND PROPAGATION MAGAZINE
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.68-85
- Keywords: Schwartz-Sobolev distributions, Serret-Frenet equations, vector analysis, electromagnetic fields, dipole structures, electromagnetic theory, current, current distribution, DERIVATIVES
- Yıldız Technical University Affiliated: No
Abstract
Space-curve types of distributions and electromagnetic sources are introduced in a Schwartz-Sobolev space setting, in a tutorial style. The features of the investigation are the derivation and employment of i) three line vector operators acting on a regular singular function; ii) distributional derivatives of first-order space-curve types of singularities; and iii) the distributional investigation of the electromagnetic field's behavior in the presence of first- and second-order ("free" and "polarized") arbitrary and impulse-radiating space-curve types of sources.