A semi-analytical method for characterization of fractal spoof surface plasmon polaritons with a transfer matrix and bloch theory

In this paper, a semi-analytical approach is introduced to analyze a spoof plasmonic structure, with an arbitrary geometry. This approach is based on a combination of techniques that employ a full-wave simulator and the Bloch theorem. By applying periodic boundary conditions, the real and imaginary parts of the equation obtained from the equivalent network have been calculated. To show the accuracy and validity of this proposed approach, a complementary Minkowski fractal SSPP unit cell has been designed and analyzed, and this has been used in a surface plasmonic transmission line. The results of our proposed method have been compared to measured results, and the simulated and measured results showed that the SSPP transmission line possesses high performance, from 1.45 to 5 GHz.