Illusion Devices with Internal or External Circular Objects Designed by the Coordinate Transformation Method

Abstract

The coordinate transformation method allows to generate an illusion such that an object appears like another one, the issue being simply termed as illusion optics. It has been demonstrated numerically by the finite element method, and more recently, the practical realization was reported. Illusion devices are approached analytically in this paper for internal and external circular objects in the cylindrical coordinate system. The correlations between the three principal elements of an illusion device — the invisibility cloak, real object, and illusion object — are clearly detailed with examples. The fields are expressed analytically, and the scattering patterns are shown comparatively for the real object, illusion device, and illusion object itself.