We theoretically investigate the enhancement of the evanescent waves near the surface of a prism coated with several layers of metals, graphene, and double negative materials. The thicknesses of the metals and double negative material films along with the number of graphene layers are optimized to achieve the highest enhancement factor. We show that the intensity of the evanescent wave in the proposed resonance structure is about 10⁹ times higher than that of a bare prism. A comparison between our results and those reported in the literature indicates a 10⁴ times amplification of the evanescent field intensities. This amplification can open a new window to manipulate attached biological cells, design perfect atom mirrors, and apply an effective force on nano- and microparticles for the purpose of manipulation and trapping. The effect of the optimization of the involved parameters on the results shows the importance of these theoretical and simulation results, which leads to the reduction in time and costs of experimental works.