, which is a nonlinear function of Ω R , consistent with the recent experimental observation. [2]. The k VSC for isotropic dipole orientation (see Eq. 47) is three times smaller than the k VSC in Eq. 41 for fully aligned case. In general, if one can experimentally control the distribution of the orientation of the dipole , then the general scaling should be k VSC ∝ cos 2 ϕ , due to the FGR theory that depends on the coupling squared matrix. [3]. The FWHM of the rate profile is controlled by a convolution of J eff (ω) and a broadening function, whose FWHMs are α = 2λ c /γ c (Eq. 30) and σ 2 ∝ ∞ 0 dω J ν (ω) coth(βω/2) (Eq. A6), respectively. This is almost in perfect agreement with the numerical results (see Fig. ) for a small lifetime of the cavity when τ c < 100 fs (see Fig. ).