Coïc H, Abdelmoumni-Prunes Y, Rouyer C, Bonod N
J Opt Soc Am A Opt Image Sci Vis. 2024 Mar 1;41(3):560-571. doi: 10.1364/JOSAA.516662.
Modeling the propagation of beams along laser beamlines is very challenging due to the multidimensional and multiscale configuration of the problem. Spatio-temporal couplings are particularly difficult to address with conventional numerical methods. Here we derive the Wigner function of a sum of Gaussian beams by calculating the multidimensional Fourier transform of the intercorrelation function of the fields. The matrix formulation allows for a simple propagation of the Wigner function in the framework of matrix optics. The relevancy of this approach is assessed by applying this model to one-dimensional and multidimensional configurations and by studying the influence of spatio-temporal couplings when considering propagation and dispersion by a diffraction grating.
由于该问题的多维和多尺度结构，对沿激光束线的光束传播进行建模极具挑战性。传统数值方法尤其难以处理时空耦合问题。在此，我们通过计算场的互相关函数的多维傅里叶变换，推导出高斯光束总和的维格纳函数。矩阵公式允许维格纳函数在矩阵光学框架内简单地传播。通过将该模型应用于一维和多维配置，并研究在考虑衍射光栅的传播和色散时时空耦合的影响，来评估这种方法的相关性。
