This study investigates the acoustic wave propagation in a waveguide with two resonant side-branch channels. The impact of the channels is reduced to jump conditions across the junction in one-dimensional models. When the separation distance is on the scale of the wavelength, out-of-phase interferences between the two junctions lead to acoustically induced transparency. On the other hand, when the separation distance is subwavelength, the evanescent field coupling the two channels accounts for perfect transmission due to Autler-Townes splitting.
We study acoustic wave propagation in a waveguide loaded with two resonant side-branch channels. In the low-frequency regime, one-dimensional models are derived in which the effect of the channels are reduced to jump conditions across the junction. When the separation distance is on the scale of the wavelength, which is the case that is usually considered, the jump conditions involve a single channel and acoustically induced transparency occurs due to out-of-phase interferences between the two junctions. In contrast, when the separation distance is subwavelength, a single junction has to be considered and the jump conditions account for the evanescent field coupling the two channels. Such channel pairs can scatter as a dipole, resulting in perfect transmission due to Autler-Townes splitting. We show that combining the two mechanisms offers additional degrees of freedom to control the transmission spectra.
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