Abstract
A first-principles method is introduced to design and achieve perfect monochromatic acoustic anti-reflection (AR) at any frequency. We established the relationship between the mass density and bulk modulus of the AR coating, which enabled the removal of any impedance mismatch. Perfect acoustic AR was realized by designing explicit conditions for the impedance matching. Theoretical results were numerically obtained using the finite element method. Importantly, perfect monochromatic acoustic AR was even realized for an ultra-thin AR layer at a deep subwavelength scale. We further approximated a multilayered AR coating with varying bulk moduli, which could provide perfect AR at any frequency. This ultra-thin multilayered AR structure may be beneficial for the minimization and integration of related acoustic devices.
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