LCs and time lag measurements of type 1 AGNs

The final sample consists of 446 and 416 AGNs, respectively, for W1- and W2-band light curves, covering a large dynamic range of bolometric luminosity from 10^43.4^ to 10^47.6^erg/s, which show reliable lag measurements based on our quality assessment analysis.

After correcting for the accretion disk contamination in the observed IR flux, we constrain the torus size (Rdust) and AGN bolometric luminosity (Lbol) relationship with the best-fit slope of 0.39 (0.33) for the W1 (W2) band, which is shallower than expected from the dust radiation equilibrium model. By combining the previous K-band lag measurements, we find that the measured torus size depends on the observed wavelength of the dust radiation, as R_dust,K_:R_dust,W1_:R_dust,W2_=1.0:1.5:1.8 (Rdust{propto}{lambda}^0.80^) at Lbol=10^46^erg/s, confirming a stratified structure of the torus, where wavelength-dependent emissions originate from distinct regions of the torus.