Fano resonance and metamaterial cells equivalent circuits

Application of resonant oscillatory systems for the seafloor gas hydrates development

“…In this case, as it is noted in the works [22,23], the equivalent Helmholtz resonator circuit, which is excited by the flow, can be represented not in the form of a series oscillatory resonator (as shown in Fig. 1b), but in the form of a bridge circuit (Fig.…”

“…In the work [20], the possibility of exciting the Helmholtz resonator by such vortex oscillations is noted, however, any analytical relationships between the frequencies and amplitudes of the Helmholtz resonator natural oscillations and the exciting oscillations of the "rotators" have not been revealed. Meanwhile, similar interactions of two different types of oscillations within the same object, belonging to the class of the "Fano resonance" type of oscillations, are the subject of modern processes study in optics and microwave technology [21,22]. The main characteristic peculiarities of the Fano resonance are an asymmetric resonance curve, the presence of different types of oscillations or wave processes, the presence of two independent energy transmission paths, the presence of the so-called "Fano point", at which complete absorption of the energy transmitted from the input to the output is achieved ("zero" of transmission or "infinite" attenuation).…”