Modeling the propagation of apertured high-order Laguerre-Gaussian beams by a user-friendly version of the mode expansion method.
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.
Cagniot
Emmanuel
E
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. Emmanuel.Cagniot@ensicaen.fr
Fromager
Michael
M
Ait-Ameur
Kamel
K