Metamaterial design applying Babinet´s principle

Babinet´s principle is applied to three kinds of metamaterial designs, including SRR structure, S structure, and single side paired S-ring. The retrieval results for each complementary unit cell group are obtained based on their S11 and S21 simulation data. By means of comparison, the complementary metamaterial´s negative permittivity happens at the same frequency band, where is supposed to be a magnetic resonance for the original metamaterial structure; And on the other side, the effective permeability of complementary metamaterial acts in a similar way which is corresponding to the effective permittivity of the prototypes. The results show that the Babinet´s principle is useful and helpful while designing metamaterials. After proper design, some complementary metamaterials´ structures can also possess both electric resonances and magnetic resonances at the same time, which conform to the condition for left-handed metamaterials.