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彩色数字全息及多波长照明的数字全息检测研究中,避免插值误差的可变放大率波面重建是一个重要的研究内容.由于Fresnel衍射积分可以表示成Fourier变换及卷积两种形式,对应地存在两种波面重建算法:其一,将重建距离分为两段的衍射“接力”算法;其二,用球面波为重建波的卷积算法.文中对这两种算法进行理论分析及实验研究,讨论让重建计算满足取样定理的条件.结果表明,卷积算法较容易满足取样定理,能够获得较好的重建物光场.
In the study of digital holography with color digital holography and multi-wavelength illumination, variable magnification wavefront reconstruction to avoid interpolation error is an important research content.Because Fresnel diffraction integral can be expressed as Fourier transform and convolution, correspondingly exists Two kinds of wavefront reconstruction algorithms are as follows: first, the reconstruction distance is divided into two sections of diffraction “relay ” algorithm; secondly, the convolution algorithm using spherical wave as the reconstruction wave is given. The theoretical analysis and experiment Research and discuss the conditions for the reconstruction calculation to satisfy the sampling theorem.The results show that the convolution algorithm can easily satisfy the sampling theorem and obtain a better reconstructed object light field.