New analytical method to design filters by combining the periodic and resonant filtering effects of EBG cells

In this paper a new analytical method to design stop-band filters combining the Bragg and resonant effects is presented. A rigorous consideration of the EBG structures filtering effect at the microwave frequency range will be performed. We will show that in that frequency range, the periodic structure filtering effect (or Bragg effect) and the self-resonance of the different cells involved are tuned approximately at the same frequencies, mixing their influences in the final filter response. Both effects are defined by different geometrical laws, and filters with very interesting properties such as high rejections, sharpness and reduced insertion losses, can be obtained when tuning the EBG effect and the resonant effect at the same frequency