An acoustic lens or diffractive acoustic device, including but not limited to, a sub-wavelength thickness lens or diffuser, comprising an array of Helmholtz resonators (HRs) that provide perfect or near-perfect sound transmission through a rigid barrier. HRs are arranged in a line or an array confined within a waveguide and oriented so that one neck protrudes onto each side of the barrier. Extraordinary acoustic transmission (EAT) occurs when radiation (such as EM or acoustic radiation) incident on the barrier perforated with sub-wavelength holes is transmitted at a rate higher than expected based on the areal coverage fraction of the holes. Transmission is independent of the direction of sound on the barrier and the relative placement of the necks.