We propose a numerical simulation method of the hologram-recording process for light-in-flight recording by holography (LIF holography) based on fast Fourier transform (FFT) to improve the efficiency of the simulation. Because it is crucial to consider the difference in the optical-path length between the object and reference light pulses, we modify a point-spread function by considering the optical-path lengths of the object and reference light pulses and whether both pulses interfere with each other in LIF holography. The computational time was shortened by $5.5 \times {10^5}$ times for the $4{,}096 \times 4{,}096$ resolution of the hologram using the proposed method. We evaluate the proposed method by calculating the root mean square error (RMSE) of the reconstructed holographic images. The RMSEs were relatively small considering the effect of speckle noise; these results effectively demonstrate the validity of the proposed method. Moreover, we reconstruct the moving pictures of light pulse propagation from the hologram generated by the proposed method. We compare the simulation and experimental results, and succeed in qualitatively demonstrating the validity of the proposed method.

中文翻译：

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基于 FFT 的全息飞行记录全息记录过程模拟

我们提出了一种基于快速傅里叶变换（FFT）的全息飞行记录全息记录过程的数值模拟方法，以提高模拟效率。因为考虑物体和参考光脉冲之间的光程长度差异是至关重要的，我们通过考虑物体和参考光脉冲的光程长度以及两个脉冲是否相互干扰来修改点扩展函数。 LIF全息术中的其他。$4{,}096 \times 4{,}096$的计算时间缩短了$5.5 \times {10^5}$倍使用所提出的方法对全息图进行分辨率。我们通过计算重建全息图像的均方根误差 (RMSE) 来评估所提出的方法。考虑到散斑噪声的影响，RMSE 相对较小；这些结果有效地证明了所提出方法的有效性。此外，我们从所提出的方法生成的全息图重建光脉冲传播的运动图像。我们比较了模拟和实验结果，并成功地定性地证明了所提出方法的有效性。