Fig. 4

Generalized Fano lineshapes in a photonic molecule. a Spectral difference between the modes with larger (P1) and shorter (P2) wavelength as a function of the oxidation-laser exposure time. The red line represents the fit obtained by the coupled-mode theory, see Supplementary Note 8. The error bars are given by the sum of the uncertainties provided by the Lorentzian fit of each mode. Bottom inset: scanning electronic microscope image of the photonic molecule where the red spot marks the position of the oxidation-laser and the scale bar corresponds to 500 nm. Top inset: photoluminescence (PL) spectra collected on the right cavity (where P1 is initially localized) and on the left cavity (where P2 is initially localized) shown as red and black lines, respectively, at t = 0 (dashed lines) and at t = 29 min (solid lines). b Resonant-scattering (RS) amplitude map at t = 29 min. A, B, C, D, and E indicate the positions where the spectra of c–g are collected. c–g RS and PL data reported as red and blue points, respectively. The blue lines are Lorentzian fits. The green line in c is a standard Fano profile fit by Supplementary Eq. (15). The red lines in d–g are generalized Fano profile fits by Supplementary Eq. (21). Horizontal dashed lines represent the zero value of each RS profile