Fig. 3: Time disorder for bandwidth-engineering.
From: Unidirectional scattering with spatial homogeneity using correlated photonic time disorder
a, Schematics of the structure factors for crystalline (left) and near-Poisson disorder (right). ξ is the transition parameter between order (ξ = 0) and disorder (ξ = 1). b, Structure factors S(ω) for the order-to-disorder transition with varying ξ: from crystalline (navy) to near-Poisson (yellow). A, ξ = 0.025; B, ξ = 0.1; C, ξ = 0.3; D, ξ = 1. c, Examples of realizations of Δε(t) for A, C and D. d, Statistical relationship between the backward scattering power and the time-translational order metric τ. The scattering theory prediction (solid and dashed lines for equations (5) and (6), respectively) and rigorous TD-TMM (error bars) are compared for each ensemble. Error bars denote the IQR of each ensemble of 104 realizations. e,f, Spectral responses of the forward (e) and backward (f) scattering powers near the target momentum (0.9 < kc/ω0 < 1.1) for ensembles A, B and D in d. Solid lines and error bands denote the ensemble average and IQR of each ensemble of 104 realizations, respectively. Structure factors [S(ω)], order metric (τ) and scattering powers (PFW, BW) are normalized with δ2/ω0, δ4 and δ2, respectively, where δ = [C(0)]1/2.
