To improve the field of view of the near-to-eye display imaging system by using the optical waveguide scheme, we propose a method of multiplexing interference fringes with equal periods and variable inclination angles to expand the angular bandwidth of the volume holographic grating for augmented reality glasses coupling element. With this method, the range of incident angles after the expansion mathes the Bragg condition, and the influence of the periodic change on the diffraction angle of the incident light is eliminated, thereby improving the angular response range of the coupling element volume holographic grating and reducing the stray light introduced by grating diffraction. The rigorous coupled wave analysis theory is used to simulate the volume holographic grating multiplexing three interference fringes with equal period and variable inclination angles. Under the TE and TM polarization states at the wavelength of 530 nm, the angular bandwidth of the multiplexed volume holographic grating is 3.6° and 3.3°, respectively. The angular bandwidth of the multiplexed volume holographic grating is twice as large as that of the volume holographic grating recorded with a single interference fringe. This method is expected to break the limitation of the volume holographic grating material on the angular bandwidth of the grating, and can be used to expand the field of view of the near-to-eye display imaging system to achieve lightweight, high-efficiency, large-field-of-view, and low-stray-light augmented reality glasses.