“…Finally, flush mounted asymmetric absorbers (FMAAs) in acoustic ducts have been designed and studied in the literature for the unidirectional perfect absorption in reciprocal and asymmetric scattering problems. Various case studies have been reported in the literature: the duct is straight 8 , 10 , 14 – 18 or of varying cross section 9 , the resonators are placed far apart 8 , 10 , 14 – 16 or side-by-side 9 , 17 , 18 , the resonators are identical and assembled in groups 15 or are tuned but have different losses 10 or are detuned 8 , 9 , 14 – 18 , the resonators are assembled in parallel, i.e., different resonators are located at the same position 10 , 14 , 15 , or in cascade 8 – 10 , 14 , 16 , 17 . However, all these cases are focused on two main configurations: (i) wide ducts with spaced resonators, allowing perfect absorption at the condition (where is the wave number and is the distance between resonators), so for large distance between the scatterers and as a consequence for non-compact systems 10 , or (ii) side-by-side resonators with narrow ducts, allowing the suppression of the transmission through a large range of frequencies in which the reflection suppression is produced by the critical coupling condition 9 .…”