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T1 - On Absence and Existence of the Anomalous Localized Resonance without the Quasi-static Approximation
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UR - http://hdl.handle.net/10138/234012
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A1 - Kettunen, Henrik; Lassas, Matti; Ola, Petri
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Y1 - 2018
LA - eng
AB - This paper considers transmission problems for the Helmholtz equation with bodies that have negative material parameters. Such material parameters are used to model metals on optical frequencies and so-called metamaterials. As the absorption of the materials in the model tends to zero, the fields may blow up. When the speed of the blow up is suitable, this is called the anomalous localized resonance (ALR). In this paper we study this phenomenon and formulate a new condition, the weak anomalous r...
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KW - metamaterials; transmission problems; anomalous localized resonance; TRANSFORMATION OPTICS; TRANSMISSION PROBLEM; HELMHOLTZ-EQUATION; EXTERIOR CLOAKING; INVISIBILITY; ACOUSTICS; DEVICES; REGIME; 111 Mathematics
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