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Transverse Average Field Approach for the Characterization of Thin Metamaterial Slabs

Silveirinha, M. G. ; Fernandes, C. A.

Physical Review E Vol. 75, Nº 036613, pp. 1 - 17, March, 2007.

ISSN (print): 2470-0045
ISSN (online): 2470-0053

Scimago Journal Ranking: 1,62 (in 2007)

Digital Object Identifier: 10.1103/PhysRevE.75.036613

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The objective of this work is to investigate in which circumstances the scattering of electromagnetic waves by a thin metamaterial slab can be characterized using known effective parameters of the associated unbounded periodic bulk medium. It is discussed that the classical approach or classical boundary conditions may become less accurate or incomplete if the size of inclusions is not significantly smaller than the wavelength. To circumvent this problem we demonstrate that the interaction of waves with metamaterial structures may in many cases with practical interest be conveniently described using a transverse averaged-field technique, and that this approach can be very accurate even for wide incident angles, evanescent waves, and down to moderately large wavelengths.