Cagniot Emmanuel, Fromager Michael, Ait-Ameur Kamel
Centre de recherche sur les Ions, les Matériaux et la Photonique, Unité Mixte de Recherche 6252, Commissariat à l'Energie Atomique, Centre National de la Recherche Scientifique, Ecole Nationale Supérieure d'Ingénieurs de Caen, Université de Caen, 6 Boulevard Maréchal Juin, F-14050 Caen, France.
J Opt Soc Am A Opt Image Sci Vis. 2010 Mar 1;27(3):484-91. doi: 10.1364/JOSAA.27.000484.
The mode expansion method (MEM) models the propagation of an apertured beam by expressing the diffracted field as a finite series of Laguerre-Gaussian or Hermite-Gaussian modes. An optimal expansion parameter set (beam waist of the modes and its location) reduces the number of modes, which is difficult to derive, especially for high-order incident beams. We propose a user-friendly version of the MEM in which the expansion parameter set and the suitable number of modes are simply deduced from the approximation of the apertured incident beam.
模式展开法（MEM）通过将衍射场表示为拉盖尔 - 高斯或厄米特 - 高斯模式的有限级数来模拟有孔光束的传播。一组最优的展开参数（模式的束腰及其位置）可减少模式数量，但该参数组难以推导，特别是对于高阶入射光束。我们提出了一种用户友好型的模式展开法，其中展开参数组和合适的模式数量可根据有孔入射光束的近似简单推导得出。
