The spectra of the (a) real and (b) imaginary parts of the optical conductivity for various THz excitation intensities at 4 K. For reference, in the normal metal state at 16 K is plotted as a dotted line. Panel (c) and (d) exhibit the calculated real and imaginary parts of the optical conductivity spectra, respectively, using an effective medium approach. The inset is a schematic image of the inhomogeneously suppressed superconductivity (after [109]).