In　this　paper,　a　method　to　simulate　the　electromagnetic　parameters　of　materials　with　quasi-periodic　microstructures　is　presented　and　the　parameters　of　fly-ash　cenosphere　particles　are　simulated.　Results　prove　that　the　permittivity　and　permeability　by　this　method　coincide　with　that　from　the　Bruggeman　formula,　By　applying　this　method,　it　is　possible　to　propose　some　strategies　to　improve　the　current　cheap　fly-ash　cenosphere　particles　to　be　used　as　EMI-shielding　materials　and　microwave　absorbing　materials.