Figure 4

Dispersion. Dispersion relations of \({k}_{\omega }a/\pi (\,\equiv \,{\rm{Re}}\,{K}_{\omega }a/\pi )\) versus \(\omega /\nu \) [blue line], and \({\kappa }_{\omega }a/\pi (\,\equiv \,{\rm{Im}}\,{K}_{\omega }a/\pi )\) versus \(\omega /\nu \) [red line] of photonic field propagating in an array of 2LA. The green line represents the dispersion relation for free photon. Here we choose \({g}^{2}/a=1/125\), \(\nu =\pi /4\), \(\lambda =0.088\,\nu \), \(\delta =\nu /100\). Being satisfying a similar (but not exactly the same) equation (Eq. (19)) with different parameters, the main figure looks like that of Fig. 2 in ref. ⁷¹. The inset shows the DOS (in arbitrary unit) of the (dressed) photon around the resonant energy \(\nu \).