PEC, PMC and PEMC interfaces in fractional space

In this paper, reflection coefficients of perfect electric conductor (PEC), perfect magnetic conductor (PMC) and perfect electromagnetic conductor (PEMC) interfaces in fractional space are presented. As anticipated for null admittance fractal PEMC interface behaves like fractal PMC interface and for infinite admittance, fractal PEMC interface behaves like fractal PEC interface. Classical results are recovered when integer dimension is considered. The proposed expressions can be used for fractal waveguides, resonators and multiple interfaces filled with fractal medium.