Superradiant emission from a partially inverted slab of two-level atoms

Using the eigenmodes of the 1-D Lienard-Wiechert Green's function, I compute the superradiant emission from an initially partially inverted slab of two-level atoms. I find that in regime I, (T=0)>nmax, there is no superradiant emission (where n(T=0)=nground(T=0)−nexcit(T=0)); in regime II, nmax>n(T=0)>ncrit, there is weak intensity superradiance; while in regime III, ncrit>n(T=0)≥−1, superradiant emission share the same features as that of an initially completely inverted system. I show, further, that in regime II, the superradiant emission intensity increases exponentially as a function of −n(T=0), while in regime III, it increases nearly linearly as a function of −n(T=0).