In this paper the computational results of numerical simulations for newly proposed structures combining two quarter wavelength (QW) slabs in one dimensional are presented. The combinational shuffling arrangement of the new QW plate is composed of two different QW slabs that are made of non-magnetic dielectric materials A and B, respectively characterized by dielectric constants ϵrA and ϵrB which abide by the relation (ϵrA)2 = ϵrB > 1 in order to minimize reflection from structures. Slab A and slab B are in theory uniformly sliced into N+1 and N pieces, or vice versa. They are then respectively shuffled into two different structures: A(BA)N and B(AB)N that are numerically proved to function as QW plates. When compared with the traditional anti-reflection coating techniques, the newly proposed structures have the advantages that every component of each type of material is identical in thickness and that they are easy to assemble. The idea of the proposed structures is numerically supported by the simulation results obtained through the application of the method of characteristics (MOC). The wavelength of interest is set to 550 nm corresponding to the visible color yellow light. The numerical results demonstrated are in both time and frequency domains exhibiting the proposed structures function as anti-reflective plates.