The nonlinear properties of quasi-periodic photonic crystals based on the Thue-Morse and Fibonacci sequence are
investigated. We address the transmission properties of waves through one dimensional symmetric Fibonacci, and Thue-Morse system i.e., a quasiperiodic structure made up of two different dielectric materials (Rogers and air), in quarter
wavelength condition, presenting in the one directions. The microwave spectra are calculated by using transfer matrix
method in normal incidence geometry. In our results we present the self-similar features of the spectra and we also
present the microwave properties through a return map of the transmission coefficients. We extract powerfully the band
gaps of quasi-periodic multilayered structures, called `pseudo band gaps' often contain resonant states, which can be
considered as a manifestation of numerous defects distributed along the structure. Taken together, the above two
properties provide favorable conditions for the design of an all-microwave reflector.