A note on the multiple scattering in an IEM model

We derive the multiple scattering expression within the framework of an IEM model for rough surface scattering, The complementary field coefficients are rederived based on a new surface slope expressions which are dependent on spatial variables. This leads to a more complete expression of the multiple scattering terms, thus allowing us to account for multiple effects more accurately, Numerical calculations and comparisons with numerical simulation are provided to demonstrate the results.