Abstract: Self-similarity of the frequency spectra of fractal photonic crystals is studied. The optical transmission matrix method is used to calculate transmittance and reflectance. The result shows that there is obvious self-similarity in Cantor multilayer, resulted from the structural selfsimilarity. Being different from general PBG, this structure has stopbands and is also of defect modes. Factors affecting the stopband characteristic and applications of the structure are also studied.

Key words: fractal Cantor structure, reflectance
, transmission matrix, transmittance, self-similarity