Starting with N = 1 under Gaussian disorder in Fig. , we find that that the upper (UP) and lower polariton (LP) spectral bands collapse (decrease in Rabi splitting, Ω R = E UP -E LP ) non-linearly with an increasing energetic disorder σ E . Initially, at the range of low disorders, 0 < σ / Ã0 < 2, the collapse of Rabi splitting is fast, while at large disorders (2 < σ / Ã0 < 8), the collapse is slower. By σ / Ã0 = 10, the UP and LP are indistinguishable from one another, and Ω R → 0. At very weak disorder (0 < σ / Ã0 < 1), it is evident that the transmission spectrum is slightly broadened by the presence of the molecular disorder before starting to collapse . This is more evident on the log-scale shown in Fig. by the broad spectral feature at σ / Ã0 = 1.0. This was also evident in a previous analytical theory exploring such Gaussian-disordered molecular energies . Furthermore, we note that while the two maxima in the transmission spectra corresponding to the UP and LP spectral peaks are collapsing due to the presence of disorder, the edge of the spectra (whose states are composed of mostly matter character due to highly off-resonant molecular energies) continues to spread outward. This can be seen in Fig. , but is more obviously depicted on a log-scale shown in Fig. . Note that the log-intensity exhibits noise due to the stochastic trace in the region of TM = 10 -2 ∼ 10 -3 region of intensity.