Abstract
We developed an extended Fano model describing the Extraordinary Electromagnetic Transmission (EET) through arrays of subwavelength apertures, based on terahertz transmission measurements of arrays of various hole size and shapes. Considering a frequency-dependent coupling between resonant and non-resonant pathways, this model gives access to a simple analytical description of EET, provides good agreement with experimental data, and offers new parameters describing the influence of the hole size and shape on the transmitted signal.
Highlights
We developed an extended Fano model describing the Extraordinary Electromagnetic Transmission (EET) through arrays of subwavelength apertures, based on terahertz transmission measurements of arrays of various hole size and shapes
We present an analytical extension of the Fano model of EET incorporating for the first time geometrical considerations such as the size and shape of the subwavelength apertures
The enhanced transmission through the subwavelength hole arrays was measured by Terahertz Time-Domain Spectroscopy (THz-TDS) from 0.1 to 2 THz [27]
Summary
Fano introduced in 1961 a model describing auto-ionization processes of helium [21]. It has been extended to many other fields such as quantum wires, mesoscopic transport phenomena, polariton in inhomogeneous absorptive dielectric, or transmission coefficient in an Aharonov-Bohm ring [23, 24]. Fano described the scattering process of an electron through both a continuum of states and an isolated state, coupled together. The transmission process involves a non resonant continuum of scattered states (the incident wave diffracted by the apertures) and a resonant state (Bloch model). (see figure 1), the system is described by an initial state |i and excited state |ψE The latter is the result of the coupling between a non resonant continuum {|E } and a resonant state |φ. The dimensionless ratio q(E) is a shape factor controlling the asymmetry of the resonance In his original model, Fano made strong assumptions that were valid for autoionization, namely that q, v and Γ were supposed to be independent of E over the considered range. In the case of EET, these assumptions are not a priori justified and taking into account the possible dependence with respect to E could provide new parameters to describe EET more precisely
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