中文摘要：

在电磁的激光横梁的关联理论的框架以内，从电磁的 Hermite-Gaussian 模型来源散发的光的远地跨 spectral 密度矩阵被导出。由利用 Hermite 多项式的集中性质，为来源的矩阵的条件被获得产生一根电磁的 Hermite-Gaussian 横梁。而且，微笑以便产生一个分级的 Hermite-Gaussian 模型，来源应该是，这被要求局部地在空间领域相当协调。

英文摘要：

Within the framework of the correlation theory of electromagnetic laser beams,the far field cross-spectral density matrix of the light radiated from an electromagnetic Hermite-Gaussian model source is derived.By utilizing the convergence property of Hermite polynomials,the conditions of the matrices for the source to generate an electromagnetic Hermite-Gaussian beam are obtained.Furthermore,in order to generate a scalar Hermite-Gaussian model beam,it is required that the source should be locally rather coherent in the spatial domain.