Robustness of the behavior of microstrip lines loaded with disordered complementary split ring resonators

In many papers, compact band-reject filters are realized by associating microstrip lines with complementary split ring resonators (CSRR). These studies assume that the periodicity of CSRR is perfect. However, a margin of error, related to the precision of manufacturing techniques, appears when operating these filters. In this paper, the robustness of the behavior of these filters is studied according to the degree of disturbance of the periodicity.