Design and simulation of an invisibility cloak device in Julia

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Abstract

Mankind has always adapted materials to fullfil a need. Recent developments in nano-science allows us to construct objects with varying permittivity and permeability. One possible structure is an invisibility cloak device. This device is put around an object. Any plane wave that enters the cloak should go around this object. The wave exits the cloak as a plane wave, rendering the object on the inside invisible. Since making such a device is quite dicult, it is useful to simulate it first. A relatively new programming language is Julia [1], [2]. Julia has a high performance and this makes it an interesting language to use for these simulations. In this work, the material properties of such a device was calculated. A simulating tactic was developed. This tactic was a hybrid version between the Method of Moments (MoM) and the Finite Elements Method (FEM). Both these methods and the hybrid method were implemented in BEAST.jl [3]
and CompScienceMeshes [4] and were tested using simulations in EMwavesBEP.jl[5]. While the FEM and MoM gave great results, the hybrid algorithm had only a good result for the electric fields. The magnetic elds failed to show the wanted results. The previous determined cloak was simulated using the hybrid algorithm. The cloaking property was clearly visible and the wave
exited as a plane wave. A far field should be calculated to verify this further.

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