Absorption coefficient e^{− τ_γγ} as a function of energy for γ rays that propagate from a source at z = 0.03 (upper panel) and z = 0.14 (lower panel), using the EBL model of Dominguez et al. (2011). The black solid line indicates the standard case, the other lines show the modified coefficient for different values of E_LIV (with the color code reported in the caption). Thick lines have been obtained using the treatment of Fairbairn et al. (2014). For comparison, thin lines show the results of the calculations that were based on the assumptions of Jacob & Piran (2008).