title: Analysis and modeling of Fano resonances using equivalent circuit elements.
abstract: Fano resonance presents an asymmetric line shape formed by an interference of a continuum coupled with a discrete autoionized state. In this paper, we show several simple circuits for Fano resonances from the stable-input impedance mechanism, where the elements consisting of inductors and capacitors are formulated for various resonant modes, and the resistor represents the damping of the oscillators. By tuning the pole-zero of the input impedance, a simple circuit with only three passive components e.g. two inductors and one capacitor, can exhibit asymmetric resonance with arbitrary Q-factors flexiblely. Meanwhile, four passive components can exhibit various resonances including the Lorentz-like and reversely electromagnetically induced transparency (EIT) formations. Our work not only provides an intuitive understanding of Fano resonances, but also pave the way to realize Fano resonaces using simple circuit elements.
authors.affiliation: Microwave and Electromagnetic Laboratory, Harbin Institute of Technology, No.92, Xidazhi Street, Nangang District, Harbin City, Heilongjiang Province, China.
authors.forename: Bo
authors.initials: B
authors.lastname: Lv
authors.affiliation: College of Information Science and Electronic Engineering, Zhejiang University, Hangzhou 310027, China.
authors.forename: Rujiang
authors.initials: R
authors.lastname: Li
authors.affiliation: Microwave and Electromagnetic Laboratory, Harbin Institute of Technology, No.92, Xidazhi Street, Nangang District, Harbin City, Heilongjiang Province, China.
authors.forename: Jiahui
authors.initials: J
authors.lastname: Fu
authors.affiliation: Microwave and Electromagnetic Laboratory, Harbin Institute of Technology, No.92, Xidazhi Street, Nangang District, Harbin City, Heilongjiang Province, China.
authors.forename: Qun
authors.initials: Q
authors.lastname: Wu
authors.affiliation: Microwave and Electromagnetic Laboratory, Harbin Institute of Technology, No.92, Xidazhi Street, Nangang District, Harbin City, Heilongjiang Province, China.
authors.forename: Kuang
authors.initials: K
authors.lastname: Zhang
authors.affiliation: Microwave and Electromagnetic Laboratory, Harbin Institute of Technology, No.92, Xidazhi Street, Nangang District, Harbin City, Heilongjiang Province, China.
authors.forename: Wan
authors.initials: W
authors.lastname: Chen
authors.affiliation: Microwave and Electromagnetic Laboratory, Harbin Institute of Technology, No.92, Xidazhi Street, Nangang District, Harbin City, Heilongjiang Province, China.
authors.forename: Zhefei
authors.initials: Z
authors.lastname: Wang
authors.affiliation: Microwave and Electromagnetic Laboratory, Harbin Institute of Technology, No.92, Xidazhi Street, Nangang District, Harbin City, Heilongjiang Province, China.
authors.forename: Ruyu
authors.initials: R
authors.lastname: Ma