余弦二值编码纯相位全息图的数字微镜器件显示

Digital Micromirror Device Display of Phase-Only Hologram of Binary Coding of Cosine

分析了采用错误减算法的迭代过程,在已知物波函数傅里叶谱的振幅和物波函数振幅的情况下恢复出纯相位的物波函数,最大限度地保留物波的振幅及相位信息。提出采用余弦二值编码生成二值全息图,即全息图的透射率函数取0或1。二值全息图通过数字微镜器件全息显示系统进行了重构显示,重构效果很好。理论分析了数字微镜器件的衍射效率,表明其最大衍射效率仅和微镜之间的间隔尺寸与微镜边长之比有关。余弦二值编码方法从理论上消除了零级衍射,可以制作像素较多的全息图。

Iterative process of error-reduction algorithm is anlyzed, the phase-only object function is obtained when the amplitude of object function and the amplitude of its Fourier transformation are known, and the amplitude and phase of object function are retained as much as possible. The binary coding of cosine is presented to generate binary hologram, and namely transmittance of hologram is 0 or 1 . The phase-only hologram is reconstructed via digital micromirror device （DMD） hologram display system, and the result proves the effect of reconstruction. The diffraction efficiency of digital micromirror device is analyzed theoretically, and the diffraction efficiency is only related to the ratio of interval size and side length of digital micromirror device. The binary coding of cosine eliminates zeroth order diffraction theoretically, and can generate high pixel hologram.