Eur. Phys. J. D (2015) 69: 196
https://doi.org/10.1140/epjd/e2015-60202-9

Regular Article

Fano resonances in scattering: an alternative perspective

¹ Institut für Theoretische Physik, Universität Stuttgart, Pfaffenwaldring 57, 70 569 Stuttgart, Germany
² Department of Physics, University of Stellenbosch, 7602 Matieland, South Africa
³ National Institute for Theoretical Physics (NITheP), Western Cape, South Africa

^a e-mail: dieter@physics.sun.ac.za

Received: 30 March 2015
Received in final form: 23 June 2015
Published online: 6 August 2015

Abstract

In a previous paper it has been shown that the interference of the first and second order pole of the Green’s function at an exceptional point, as well as the interference of the first order poles in the vicinity of the exceptional point, gives rise to asymmetric scattering cross section profiles. In the present paper we demonstrate that these line profiles are indeed well described by the Beutler-Fano formula, and thus are genuine Fano resonances. Also further away from the exceptional points excellent agreement can be found by introducing energy dependent Fano parameters.