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Estimates of scattered electromagnetic fields
Author(s) -
Wellander N.,
Kristensson G.
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2831
Subject(s) - bounded function , mathematics , curl (programming language) , norm (philosophy) , mathematical analysis , scattering , electromagnetic field , domain (mathematical analysis) , boundary value problem , field (mathematics) , pure mathematics , physics , optics , computer science , quantum mechanics , political science , law , programming language
We present some general estimates of the scattered electromagnetic fields for a general bounded scattering domain Ω in the anisotropic materials setting. In particular, it is shown that the ∥ ⋅ ∥L 2(Ω s ; C 3)‐ norm and sup norm of the scattered field in an arbitrary finite exterior domain Ω s is bounded by the H (curl,Ω) norm of the incident field. Moreover, several estimates of the traces of the scattered field on the boundary are presented. These estimates have bearing on estimations on cloaking. Copyright © 2013 John Wiley & Sons, Ltd.