Nguyen Giang-Nam, Heggarty Kevin, Gérard Philippe, Serio Bruno, Meyrueis Patrick
Appl Opt. 2014 Apr 1;53(10):2196-205. doi: 10.1364/AO.53.002196.
We present a scalar model to overcome the computation time and sampling interval limitations of the traditional Rayleigh-Sommerfeld (RS) formula and angular spectrum method in computing wide-angle diffraction in the far-field. Numerical and experimental results show that our proposed method based on an accurate nonparaxial diffraction step onto a hemisphere and a projection onto a plane accurately predicts the observed nonparaxial far-field diffraction pattern, while its calculation time is much lower than the more rigorous RS integral. The results enable a fast and efficient way to compute far-field nonparaxial diffraction when the conventional Fraunhofer pattern fails to predict correctly.
我们提出了一种标量模型,以克服传统瑞利 - 索末菲(RS)公式和角谱方法在计算远场广角衍射时的计算时间和采样间隔限制。数值和实验结果表明,我们提出的基于精确的非傍轴衍射步长到半球上并投影到平面上的方法能够准确预测观测到的非傍轴远场衍射图样,同时其计算时间远低于更严格的RS积分。当传统的夫琅禾费图样无法正确预测时,这些结果提供了一种快速有效的方法来计算远场非傍轴衍射。