【摘要】 在对Lohmann二型分数傅里叶变换 (FRT)和菲涅耳衍射积分进行比较的基础上 ,给出基于快速傅里叶变换 (FFT)求解该分数傅里叶变换和菲涅耳衍射积分的快速算法及算法适用范围 数值模拟实验证明了理论的可靠性和算法的高效性 此快速算法为分数傅里叶变换在工程实际中的进一步广泛应用奠定了基础更多还原

【Abstract】 Compared with Fresnel diffraction integral,the fractional Fourier transform (FRT) by a Lohmann′s type II system and Fresnel diffraction integral have been calculated by a fast algorithm using the fast Fourier transform (FFT).Meanwhile, the applicable range for the algorithm has been presented. By computer simulation, the results have shown that the algorithm has advantages of high reliability and high effectiveness.更多还原