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The transient electromagnetic field of a permeable and conducting hollow sphere excited by a loop of arbitrary shape
Author(s) -
Mrozynski Gerd
Publication year - 1999
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/(sici)1099-1204(199907/08)12:4<311::aid-jnm332>3.0.co;2-n
Subject(s) - transient (computer programming) , electromagnetic field , loop (graph theory) , electromagnetic shielding , dipole , field (mathematics) , electrical conductor , electromagnetic compatibility , near and far field , physics , discretization , transient response , current (fluid) , mechanics , computer science , mathematical analysis , optics , electrical engineering , engineering , mathematics , thermodynamics , combinatorics , quantum mechanics , pure mathematics , operating system
The calculation of the transient electromagnetic field 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 flows in a loop of arbitrary shape. The solution describes the shielding of the transient electromagnetic field 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 fine discretization of thin screens becomes cumbersome. This difficulty increases for the calculation of transient fields because the transient current distribution becomes singular on the surface of conducting screens at the transition of a switching process. Copyright © 1999 John Wiley & Sons, Ltd.