Methods for 1D Passive Cloaking and Defect Creation



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Cloaking and defect creation are problems that have applications in metamaterials, electromagnetics, acoustics, circuits, spring mass mechanics, and atomic lattices. In this thesis an efficient method for 1D passive single defect cloaking and 1D passive defect creation is presented, along with some proofs and numerical results. It has the potential to be extended to multiple defect passive cloaking and defect creation, and an example is given to demonstrate this ability. A relation to the wave equation is also discussed for some of the mathematical equations described in this thesis, a way for collecting data to apply the method in practice, and a connection between spring mass mechanics and circuits is presented.



Cloaking, Optimal control, Inverse problems, Defect creation, Applied math, Mathematics