Renormalized forward scattering

Another very elegant method to stack layers is renormalized forward scattering (RFS) [16, 18] which, however, needs rather large interlayer spacings (about 1.2 A and higher). This perturbation method lives from the fact that the back diffraction... 

The two sets of computations - forward scatter and side scatter - are made separately. In order to determine the complete size distribution, the forward and side scatter determinations must be combined. This is accomplished by adjusting the gain on the side scatter computations until those channels blend together with the distribution—incorporating both forward and side scatter distributions—is then renormalized and printed out as a l6-channel particle size distribution from 0.12 to 1 2.2 microns. Any Mie constant adjustment is made to the forward scatter computations alone because the side scatter channels are relatively insensitive to variations in the refractive index. 

Finally, we have to comment on the approximations used in this calculation. The first approximation was to neglect the forward scattering term g2, the other was to consider the leading and next to leading logarithmic corrections only, i. e. a second-order renormalization was performed and the higher order corrections were neglected. 

The nearest-neighbor interchain interactions we shall consider are shown in Fig. (4). The interactions a°d are interchain forward scattering interactions, and these do not give rise to a phase transition of any type, but serve only to renormalize the effective intrachain interactions. In Fig. (5), we have shown the regions in 9 /92 space for g2=g, v2=v, aRd lv2l =... 

---