Narrow stop band microwave filters by using hybrid generalized quasi-periodic photonic crystals

Abstract Using the transfer matrix method approach (TMM), the microwave transmission spectra in hybrid quasi-periodic multilayer photonic structures are studied. These structures are formed by concatenating several quasi-periodic sequences such as the generalized Cantor (GC ( a, b, c )), generalized Fibonacci (GF ( m, n )) and generalized Thue–Morse (GTM ( m, n )). The results are presented for a normal incident wave with transverse electric (TE) polarization. The optimization of the sequences’ parameters ( a, b, c, m and n ) permits us to obtain polychromatic filters that cover the frequency range of Global Systems for Mobile Communication (GSM). The manipulation of these parameters fixes the number of photonic band gaps (PBGs) and the position of the transmission peaks.