Bands in 3D Periodic Structures with the Broadband Green’s Function-Multiple Scattering Theory

We apply the BBGF-MST (Broadband Green’s function-Multiple Scattering Theory) to calculate Band Structures and Band Field Solutions in periodic structures A feature of BBGF is that the lattice Green’s functions are broadband and are calculated rapidly for many frequencies for speedy calculation of the determinant of the KKR (Koringa-Kohn-Rostoker) equation. Using BBGF-MST, a low order matrix eigenvalue equation for the bands is derived. Previously, the method was applied to 2D problems. In this paper, we have extended the method to 3D problems. For the first two bands, the dimension of the matrix equation is only 9 by 9. Numerical results of the band diagrams are illustrated.