This paper proposes and analyzes a new operator splitting method for stochastic Maxwell equations driven by additive noise, which not only decomposes the original multi-dimensional system into some local one-dimensional subsystems, but also separates the deterministic and stochastic parts. This method is numerically efficient, and preserves the symplecticity, the multi-symplecticity as well as the growth rate of the averaged energy. A detailed $H^2$-regularity analysis of stochastic Maxwell equations is obtained, which is a crucial prerequisite of the error analysis. Under the regularity assumptions of the initial data and the noise, the convergence order one in mean square sense of the operator splitting method is established.

翻译：本文件提出并分析了一种新的操作员分离方法,用于由添加性噪音驱动的蒸馏式马克斯韦尔方程式,该方程式不仅将原多维系统分解成某些局部的一维次系统,而且还将确定性和随机部分分开。这种方法在数字上是有效的,并保持了平均能量的共性、多视性和增长率。获得了对蒸馏式马克斯韦尔方程式的详尽的常规性分析,这是错误分析的关键先决条件。根据初步数据和噪音的正常性假设,在操作者分裂法的正方形意义上的趋同顺序中确定了一个。