Extension of the multi-scattering approach to stochastic polarized wave propagation in complex cavities

The solution of the full Maxwell equations in complex geometry at GHz frequencies is an extremely difficult computational task, especially within a loaded aircraft cavity. Instead of a direct solution to Maxwell equations, we utilize the multi-scattering formalism which solves a stochastic parabolic wave equation. The solution of the stochastic parabolic equation for complex problems dramatically reduces the computational time by many orders of magnitude. Provided the wave length is the shortest length scale of interest, backscatter effects are deemed negligible and the axial propagation direction of the wave down the fuselage becomes the "time" coordinate in the resulting parabolic wave equation. Here we extend our earlier results (Vahala et al. (2004)) to account for wave polarization.