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Transmission properties of a multilayer polarizer filter realized with quasiperiodic code

In recent years there have been many theoretical studies of one-dimensional (1D) quasi periodic structures realizing Fibonacci sequences [1,3] or Cantor sequence, obtained by alternating layers of GaAs and AlAs. The interesting properties of the structures studied in papers [1-3], are linked to the properties of self-similar spaces. A self-similar space is characterized by three kinds of dimensions: the dimension of the embedding Euclidean space, the fractal and the spectral (fracton) ones [4].