Behavior of Electromagnetic Waves at Dielectric Fractal-Fractal Interface in Fractional Spaces

In this paper, re∞ection and transmission coe-cients at dielectric fractal-fractal interface are discussed. The ratio of permittivity of the two dielectric fractal media is kept constant, while the dimension is varied in order to get the desired results. Conventional results are recovered for the integer dimensions. The proposed expressions are useful to study the behavior of electromagnetic waves for non-integer dimensions, multiple fractal interfaces and waveguides. Moreover, it is also helpful to understand the variation in the magnitudes of re∞ection and transmission coe-cients with the difierence in dimensionality at interface of the two fractal media.