Linear systems approach to describing and classifying Fano resonances

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

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

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
Volume87
Issue number12
DOIs
StatePublished - Mar 13 2013

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linear systems
classifying
Transfer functions
Linear systems
line shape
Silicon
Photonic crystals
transfer functions
Scattering
Fibers
tapering
scattering amplitude
oscillators
asymmetry
photonics
electromagnetism
cavities
fibers
probes
silicon

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Linear systems approach to describing and classifying Fano resonances. / Avrutsky, I.; Gibson, R.; Sears, J.; Khitrova, Galina; Gibbs, H. M.; Hendrickson, J.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 87, No. 12, 125118, 13.03.2013.

Research output: Contribution to journalArticle

Avrutsky, I. ; Gibson, R. ; Sears, J. ; Khitrova, Galina ; Gibbs, H. M. ; Hendrickson, J. / Linear systems approach to describing and classifying Fano resonances. In: Physical Review B - Condensed Matter and Materials Physics. 2013 ; Vol. 87, No. 12.
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