The present disclosure relates to a metamaterial for diverging an electromagnetic wave, which comprises at least one metamaterial sheet layer. Refractive indices of the metamaterial sheet layer are distributed in a circular form with a center of the metamaterial sheet layer, and the refractive indices remain unchanged at a same radius and increase gradually with the radius. The present disclosure changes electromagnetic parameters at each point of the metamaterial through punching or by attaching man-made microstructures so that the electromagnetic wave can be diverged after passing through the metamaterial. The metamaterial of the present disclosure features a simple manufacturing process and a low cost, and is easy to be implemented. Moreover, the metamaterial of the present disclosure has small dimensions and does not occupy a large space, so it is easy to miniaturize apparatuses made of the metamaterial of the present disclosure.