Low coupling efficiency of transverse electric (TE) polarization waves by using binary gold diffraction gratings for side-coupling of double-clad fiber lasers is demonstrated theoretically. Meanwhile, a new multilayered structure for side-coupling of TE-polarization waves is proposed and the coupling efficiency as high as 72% is achieved by using three layers gold strips with different widths. And the higher efficiency with much more layers gold strips is predicted. The relationship between the line-width of multilayered gold grating and the efficiency of +1 and -1 order backward diffraction wave is analyzed.