Fano resonance

Plot of scattering cross-section versus normalized energy for various values of the parameter q illustrating the asymmetric Fano line-shape.

In physics, a Fano resonance is a type of resonant scattering phenomenon that gives rise to an asymmetric line-shape. Interference between a background and a resonant scattering process produces the asymmetric line-shape. It is named after Italian-American physicist Ugo Fano, who in 1961 gave a theoretical explanation for the scattering line-shape of inelastic scattering of electrons from helium;[1][2] however, Ettore Majorana was the first to discover this phenomenon.[3] Fano resonance is a weak coupling effect meaning that the decay rate is so high, that no hybridization occurs.[4] The coupling modifies the resonance properties such as spectral position and width and its line-shape takes on the distinctive asymmetric Fano profile. Because it is a general wave phenomenon, examples can be found across many areas of physics and engineering.

  1. ^ " A. Bianconi Ugo Fano and shape resonances in X-ray and Inner Shell Processes" AIP Conference Proceedings (2002): (19th Int. Conference Roma June 24–28, 2002) A. Bianconi arXiv: cond-mat/0211452 21 November 2002
  2. ^ Fano, U. (15 December 1961). "Effects of Configuration Interaction on Intensities and Phase Shifts". Physical Review. 124 (6). American Physical Society (APS): 1866–1878. doi:10.1103/physrev.124.1866. ISSN 0031-899X.
  3. ^ Vittorini-Orgeas, Alessandra; Bianconi, Antonio (7 January 2009). "From Majorana Theory of Atomic Autoionization to Feshbach Resonances in High Temperature Superconductors". Journal of Superconductivity and Novel Magnetism. 22 (3): 215–221. arXiv:0812.1551. doi:10.1007/s10948-008-0433-x. ISSN 1557-1939. S2CID 118439516.
  4. ^ Limonov, Mikhail F.; Rybin, Mikhail V.; Poddubny, Alexander N.; Kivshar, Yuri S. (2017). "Fano resonances in photonics". Nature Photonics. 11: 543–554. doi:10.1038/nphoton.2017.142.