Milton's Abstract

		Mathematical Association of America
		MAA Intermountain Section Meeting
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		Title: Cloaking: New phenomena in electromagnetism and elasticity Abstract: The making of an object invisible through some cloaking device is commonly regarded as science fiction. Now two very different cloaking schemes have been proposed. We found that a finite collection of polarizable dipoles within a critical distance of a superlens would become cloaked. This cloaking occurs because the dipoles generate resonant fields which act back on the dipoles and essentially cancel the incident field acting on them. Then Pendry, Schurig and Smith and Leonhardt proposed designing a shield which cloaks objects by guiding electromagnetic waves around them. This generalized an earlier idea of Greenleaf, Lassas and Uhlmann, on cloaking for conductivity. Here, we review these developments and also discuss how cloaking might be extended to elasticity using these ideas. This requires new materials, in particular materials with anisotropic density. We show how such materials can be made.
National MAA \| Intermountain Section \| Department of Mathematics \| University of Utah
March 23-24, 2007, Salt Lake City, Utah

Graeme Milton's Abstract