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Linearization stability results and active measurements for the Einstein-scalar field equations
Yaroslav Kurylev, Matti Lassas, Gunther Uhlmann
We study the Einstein equations coupled with the scalar field equations, , , and , where the sources c…
Schrodinger's Hat: Electromagnetic, acoustic and quantum amplifiers via transformation optics
Allan Greenleaf, Yaroslav Kurylev, Matti Lassas +1
The advent of transformation optics and metamaterials has made possible devices producing extreme effects on wave propagation. Here we give theoretical designs for devices, Schrödi…
Approximate quantum and acoustic cloaking
Allan Greenleaf, Yaroslav Kurylev, Matti Lassas +1
At any energy E > 0, we construct a sequence of bounded potentials , supported in an annular region in three-space, which act as approxi…
Invisibility and Inverse Problems
Allan Greenleaf, Yaroslav Kurylev, Matti Lassas +1
This survey of recent developments in cloaking and transformation optics is an expanded version of the lecture by Gunther Uhlmann at the 2008 Annual Meeting of the American Mathema…
Electromagnetic wormholes and virtual magnetic monopoles
Allan Greenleaf, Yaroslav Kurylev, Matti Lassas +1
We describe new configurations of electromagnetic (EM) material parameters, the electric permittivity and magnetic permeability , that allow one to construct from metamateri…