Linear systems approach to describing and classifying Fano resonances

I. Avrutsky, R. Gibson, J. Sears, G. Khitrova, H. M. Gibbs, J. Hendrickson

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


We show that a generalized asymmetric resonant line shape derived elsewhere from rigorous electromagnetic calculations and from the two-oscillators model can also be obtained using a very general assumption that the spectral dependence of the scattering amplitudes is given by the transfer function of a linear system. We reformulate the line shape equation and show that in the case of a first-order transfer function all possible line shapes can be presented by a weighted sum of the original Fano and Lorentzian line shapes. We propose a new two-parameter classification scheme for asymmetric resonances with one parameter δ being the asymmetry factor of the Fano component and the other parameter η quantifying the relative weight of the Fano and Lorentzian components of the line shape. The proposed formula is used to fit experimental spectra of a silicon photonic crystal cavity nanobeam interrogated using a fiber taper probe.

Original languageEnglish (US)
Article number125118
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number12
StatePublished - Mar 13 2013

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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