Realization of low-pass filters from arbitrarily designed nonuniform EBG structures

Two patterns of electromagnetic bandgap structure (EBGS) have been proposed - one is dumbbell shape EBGS having circular slots as bigger slots and another one is rectangular EBGS. A sequence of arbitrary coefficients has been proposed to make nonuniform EBGSs that results better performance than that of nonuniform EBGSs realized by binomiall coefficients. A potential technique has also been imposed upon the nonuniform dumbbell shape EBG structure that provides more improved scattering parameter performance. An arbitrary nonuniform rectangular patterned EBGS has been investigated too that perform as a low-pass filter. The performances of both proposed designs have been compared to the relevant uniform and binomially distributed nonuniform EBG assisted designs. The results, of arbitrary nonuniform designs, are superior to the conventional form of noninform EBG elements.