Estimates of scattered electromagnetic fields | Zendy

Wellander N. | Zendy; Kristensson G. | Zendy

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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.

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