Minisymposia

Title: Invisibility and cloaking
Organizer(s): Ting Zhou, University of California, Irvine
Gunther Uhlmann, University of Washington and University of California, Irvine
Speakers: Matti Lassas, University of Helsinki
Degenerate elliptic equations and the appearance of hidden boundary conditions in invisibility cloaking

Daniel Onofrei, University of Utah
Mathematical analysis of the active exterior cloaking

Kui Ren, University of Texas, Austin
On feasibility of active exterior cloaking

Ting Zhou, University of California, Irvine
On approximate electromagnetic cloaking by transformation media

Andrea Alu, University of Texas
Metamaterial cloaking using passive metamaterials and metasurfaces

Xudong Chen, National University of Singapore
Cloaking a sensor for 2D and 3D Maxwell equations

Fernando Guevara Vazquez, University of Utah
Active exterior cloaking for the Helmholtz equation

Hongyu Liu, University of California (canceled)
Abstract: Recently there has been quite a flurry of activity concerning "cloaking", that is to create a space that itself, together with any object occupying part of this space, is completely "invisible" to electromagnetic (boundary) observations. One prominent approach to "cloaking" is based on metamaterials obtained by clever use of "push-forward" mapping techniques. As it just happens the same mapping techniques proposed by engineers and physicists to generate such metamaterials had previously been studied by Greenleaf, Lassas and Uhlmann working on a geometric version of the Electrical Impedance Tomography Problem, also called Calderón's problem. One of the drawbacks of this approach is that leads to singular electromagnetic parameters, making difficulty the physical realization of cloaking materials. An important line of research in this direction has been the study of "approximate cloaking", using the ideas of transformation optics, that constructs non-singular electromagnetic materials and leads to almost invisibility with any desired degree of accuracy. We mention the work of Kohn, Nguyen, Vogelius and Weinstein, and Liu and Zhou in this direction. There has been other proposals for cloaking, for example by Alu and Engheta using plasmonics and Guevara Vazquez, Onofrei and Milton using resonance phenomenon. The purpose of the minisymposia is to put together people working in the different methods for cloaking mentioned above. The interaction between these researchers will likely lead to further progress in this field.

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