The idea of using the coordinate transformation approach to design a cloak of invisibility has received much attention. Up to now, most of the discussions on cloaking are based on the linear transformation. If different transformations are adopted, cloaks with different performances can be achieved. This paper gives an analytical field solutions on a spherical cloak created with a general class of transformation functions. The analytical expressions of the electromagnetic field in the whole space are calculated, and the field distributions of cloaks with different parameters are analyzed. This analytical full wave method is a very computational effi cient validation method compared with numerical simulations. It also provides a better physical insight into the effect of the transformation function on the performance of devices.
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