Norfolk Andrew W, Grace Edward J
Photonics Group, Physics Department, Imperial College London, London, SW7 2BW, UK.
Opt Express. 2010 May 10;18(10):10551-6. doi: 10.1364/OE.18.010551.
Unlike the FFT, the Quasi Discrete Hankel Transform (QDHT) is not sampled on a uniform grid; in particular the field may no longer be sampled on axis. We demonstrate how the generalised sampling theorem may be applied to optical problems, evaluated with the QDHT, to efficiently and accurately reconstruct the optical field at any point. Without sacrificing numerical accuracy this is demonstrated to be typically 50x faster than using an equivalent 2D FFT.
与快速傅里叶变换（FFT）不同，准离散汉克尔变换（QDHT）不是在均匀网格上进行采样的；特别是，场可能不再在轴上进行采样。我们展示了广义采样定理如何应用于用QDHT评估的光学问题，以高效、准确地重建任意点的光场。在不牺牲数值精度的情况下，这被证明通常比使用等效的二维FFT快50倍。
