A method of manufacturing a multi-layered coating system, comprising: Providing a layer one including a plurality of spheroid voids (11, 12, 13, 14) that are randomly distributed to be separated from one another so that interactions between them can be neglected and a filler material (51, 52, 53, 54) of refractive index n1 that is positioned in spaces between the plurality of voids wherein the spheroid voids (11, 12, 13, 14) have a substantially identical diameter with radius a1; and Providing subsequent layers having i_max-1 layers, i_max being equal to or greater than 2, the subsequent layers comprising a layer i+1 positioned above the layer i, the layer i+1 including a plurality of spheroid voids (11, 12, 13, 14) that are randomly distributed to be separated from one another so that interactions between them can be neglected and a filler material (51, 52, 53, 54) of refractive index ni+1 that is positioned in spaces between the plurality of voids, wherein the spheroid voids (11, 12, 13, 14) have a substantially identical diameter with average radius ai+1, i being the integers from 1 to i_max-1, wherein at least two layers among the i_max layers have different values in at least one selected from a group consisting of the radius of the voids in each one of the two layers and the refractive index of the filler material in each one of the two layers so that wavelength bands of electromagnetic waves reflected by the at least two layers are different from each other, and controlling the radius of the voids in at least one of the two layers, with respect to a specific wavelength of an incident electromagnetic wave to be backward scattered, by utilizing Mie theory under the assumption that the incident electromagnetic wave is scattered directly by one void so that the difference function which is the value of back-scattering efficiency factor minus extinction efficiency factor is greater than zero. Providing a layer one including a plurality of spheroid voids (11, 12, 13, 14) that are randomly distributed to be separated from one another so that interactions between them can be neglected and a filler material (51, 52, 53, 54) of refractive index n1 that is positioned in spaces between the plurality of voids wherein the spheroid voids (11, 12, 13, 14) have a substantially identical diameter with radius a1; and Providing subsequent layers having i_max-1 layers, i_max being equal to or greater than 2, the subsequent layers comprising a layer i+1 positioned above the layer i, the layer i+1 including a plurality of spheroid voids (11, 12, 13, 14) that are randomly distributed to be separated from one another so that interactions between them can be neglected and a filler material (51, 52, 53, 54) of refractive index ni+1 that is positioned in spaces between the plurality of voids, wherein the spheroid voids (11, 12, 13, 14) have a substantially identical diameter with average radius ai+1, i being the integers from 1 to i_max-1, wherein at least two layers among the i_max layers have different values in at least one selected from a group consisting of the radius of the voids in each one of the two layers and the refractive index of the filler material in each one of the two layers so that wavelength bands of electromagnetic waves reflected by the at least two layers are different from each other, and controlling the radius of the voids in at least one of the two layers, with respect to a specific wavelength of an incident electromagnetic wave to be backward scattered, by utilizing Mie theory under the assumption that the incident electromagnetic wave is scattered directly by one void so that the difference function which is the value of back-scattering efficiency factor minus extinction efficiency factor is greater than zero.