The transient electromagnetic field of a permeable and conducting hollow sphere excited by a loop of arbitrary shape

✍ Scribed by Gerd Mrozynski

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 234 KB
• Volume: 12
• Category: Article
• ISSN: 0894-3370
• DOI: 10.1002/(sici)1099-1204(199907/08)12:4<311::aid-jnm332>3.0.co;2-n

✦ Synopsis

The calculation of the transient electromagnetic "eld in solid conductors becomes more important in the future because of the increasing demands on system design under EMC-constraints. In this paper an analytical solution for the transient current distribution in a permeable and conducting hollow sphere is given for an exciting current of arbitrary time dependence that #ows in a loop of arbitrary shape. The solution describes the shielding of the transient electromagnetic "eld in a very general form in case the exciting loop or an exciting dipole is located inside or outside the hollow sphere. Moreover, it can serve as a reference solution for a comparison with the results of numerical methods. For those methods it is known that the very "ne discretization of thin screens becomes cumbersome. This di$culty increases for the calculation of transient "elds because the transient current distribution becomes singular on the surface of conducting screens at the transition of a switching process.