Document Type


Publication Date


First Advisor

Kurt Bryan


There has been a lot of recent interest in cloaking and invisibility in the mathematics and science communities, and in fact physically plausible mechanisms have been proposed (some built) for cloaking an object against detection using a variety of electromagnetic methods. The ideas are very general, however, and should allow one to design cloaks that work against other forms of imaging. We examine the possibility of cloaking an object to make it invisible to an observer using thermal energy (heat) as the imaging tool. Specifically, we desire to cloak an object inside a two-dimensional disk by cutting a small hole in the center of the disk in which to place the particular object. Mathematically, we want to make a large cavity in the unit disk to appear small to outside observers. This involves analysis the solution to a PDE and the solution behavior under a change-of-variables argument.


MSTR 11-03