The computation of the time-dependent magnetic and electric matrix Green's functions in a parallelepiped

A method for the computation of the time-dependent magnetic and electric matrix Green's functions in a parallelepiped with perfect conducting boundary is suggested. The method consists of the following. The equations for the magnetic Green's function are written in the form of the initial boundary value problem for a vector wave equation. Applying the Fourier series expansion approach, an explicit formula for an approximate solution of this problem is constructed. Using this formula the elements of an approximate electric Green's function are found explicitly. Numerical computation of the time-dependent magnetic and electric Green's functions has been implemented in MATLAB. The computational experiments confirm robustness of the method.