“…The functions G u (r, r ) represent the Green's function specific for the half-space geometry (having planar interface at z = 0), whereas G S u (r, r ) represent the scattered contribution due to the presence of the background contrast function Q defined in (2). Analytical expressions of the half-space Green's function G(r, r ) do exist in several forms [5,[7][8][9][10][11][12]; however, in Appendix, we propose better formulas that are explicit, easy to be integrated, and computed with FFT, and having very…”