| Автор | K. V. Bhagwat |
| Автор | D. Karmakar |
| Дата выпуска | 2000-03-15 |
| dc.description | We examine the possibility of obtaining an exact analytical expression for the surface current density on a cylinder of arbitrary cross-section necessary to produce a magnetic field which is transverse to its axis and uniform in its interior. The mathematical formulation leads to the well-studied Riemann-Hilbert problem from the theory of singular integral equations with a Cauchy-type kernel. We solve this problem for a general class of cylindrical surfaces and obtain the corresponding expression for the surface current density. As an illustration of the general class, we present a rederivation of well-known results for surface current density on elliptical and circular cylinders and also discuss two non-elliptical cylindrical surfaces. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | 2000 EDP Sciences |
| Название | Current density on an arbitrary cylindrical surface producing transverse uniform interior field |
| Тип | lett |
| DOI | 10.1209/epl/i2000-00209-3 |
| Electronic ISSN | 1286-4854 |
| Print ISSN | 0295-5075 |
| Журнал | EPL (Europhysics Letters) |
| Том | 49 |
| Первая страница | 715 |
| Последняя страница | 721 |
| Аффилиация | K. V. Bhagwat; Technical Physics and Prototype Engineering Division, Bhabha Atomic Research Centre Trombay, Mumbai 400085, India |
| Аффилиация | D. Karmakar; Technical Physics and Prototype Engineering Division, Bhabha Atomic Research Centre Trombay, Mumbai 400085, India |
| Выпуск | 6 |
