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Highlight the change in the resonance trajectory of the A0− wave.An appreciable influence from the polymer coating thickness on the A0+ and S0 modes.The physical justification for the disappearance of the A0+ wave.In this paper, recent studies of backscattered acoustic signals in thinner steel-polymer tubing structures have been presented. Reassigned smoothed pseudo Wigner-Ville (rspWV) analysis has been adopted in order to diminish the cross-term effect, and achieve high resolution spectral. Vibration modes, which are associated to the resonances of circumferential waves, have been determined by using the modal isolation plan representation. At normalized frequencies below 140, an appreciable influence from the polymer coating thickness on the A0+ and S0 modes has been noticed. Furthermore, the trajectory of the A0− wave has been modified in the normalized frequency band 40–42. Group velocity curves of the A0− wave have, then, been graphically illustrated. The findings have shown a particular curvature change at reduced frequency 41 in the case of an immersed two-layer tube in water. Studies of acoustic backscattering involving steel-polymer tubing structures have confirmed the significant coupling of A0+ and S0 waves. Besides, the disappearance of the A0+ resonance trajectory has been observed; which is a very important phenomenon to understand.