【摘要】 首先讨论了连续分数傅立叶变换和离散分数傅立叶变换并提出了一些重要性质．基于这些性质提出了重构波场的一个解析公式．这种方法能够大大减少计算的复杂性并能提高波场重构的质量．模拟实验也表明这种方法具有良好的数值稳定性和很高的计算精度更多还原

【Abstract】 In this paper we first present some essential properties for continue fractional Fourier transform and discrete fractional Fourier transform. Based on these properties we propose an analytic formula to reconstruct wave fields. This method can simplifies significantly the computational manipulations and improves the quality of reconstructed wave fields. Simulation experiments show that this method has good munerical stablity and higher computational accuracy.更多还原