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Analyzing of transmission spectra of the Fibonacci layered structures containing single negative metamaterials by using effective medium theory

Hadi Rahimi

We investigate the transmission properties of the Fibonacci quasiperiodic layered structures consisting of epsilon-negative (ENG) and mu-negative (MNG) metamaterials. It is found that there exist the polarization-dependent transmission gaps which are invariant with a change of scaling and insensitive to incident angles. Also, it is found that by decreasing generation number to the low values the photonic band gap property of structure will disappear while, in the high number of N we have desirable gaps regardless to N is odd or even number. Analytical methods based on transfer matrices and effective medium theory has been used to explain the properties of transmission gap of ENG-MNG Fibonacci multilayer structures.