Optical responses of Fano resonators in non-spectral parametric domains

Fano resonance observed in various classical and quantum systems features an asymmetric spectral line shape. For designing nanoresonators for monochromatic applications, it is beneficial to describe Fano resonance in non-spectral parametric domains of critical structural parameters. We develop an analytical model of the parametric Fano profile based on a coupled harmonic oscillator model and theoretically demonstrate its application in describing the optical response of a series of waveguided plasmonic crystals of varying periodicity. The developed parametric Fano model may find applications in the design of monochromatic and spectrometer-free nanodevices.