Comparison of the scattering powers from the structure factor prediction (solid lines) and rigorous TD-TMM analysis (error bars) for each ensemble with different design parameters S 0 and S 2 ω in a and b , showing suppression of the backward ( c ) and forward ( d ) scattering. The top and bottom figures represent the forward and backward power, respectively, after t > 20 t 0 . Filled circles and error bars denote the ensemble average from the TD-TMM results and the interquartile range (IQR) of each ensemble of 10 4 realizations, respectively. Structure factors [ S FW, BW ( ω ), S 0, 2 ω ], scattering field ( ψ sca ) and scattering powers ( P FW, BW ) are normalized with δ 2 / ω 0 , δ and δ 2 , respectively, where δ = [ C (0)] 1 / 2 .
