Abstract
The method of coordinate transformation provides us a practical approach to control the travelling route of the electromagnetic waves [1,2]. Coordinate transformation is applied to set up a distorted space from the free space by changing the permittivity or permeability distributions of the space background. The route of the wave is decided by how the space is distorted. Such scheme is firstly used for the design of the 'invisible cloak' [3]. Unfortunately, the general coordinate transformation often results in some singular points where extreme values of permittivities or permeabilities are required. Instead of the global coordinate transformation, a strategy of discrete coordinate transformation is proposed to design the ground-plane carpet cloak [4]. Discrete coordinate transformation is operated by transforming local coordinates to their peers in the other space. It has a good prospect of application and extension for designing flat devices in antenna systems.
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