Tunable acoustic logic gates based on superimposed Mie resonator

Traditional acoustic logic gates are constrained by their fixed structures, thereby impeding the pursuit of integrated acoustic systems. This work presents a symmetric three-port waveguide that achieves tunable acoustic logic gates. The waveguide consists of one rectangular straight waveguide and two arc-shaped waveguides, all without cladding layers. Each waveguide is filled with superimposed Mie resonators (SMRs) exhibiting anisotropic dispersion characteristics. A wave interference model is established to modulate the phase by adjusting the spacings between the SMRs in the two arc-shaped waveguides. Based on a linear interference mechanism, four basic logic functions of OR, XOR, NOT, and AND and a combinational logic function of O = (A AND B) OR (C AND D) are realized within the waveguide structure. This work overcomes the inherent limitations of fixed-structure designs and establishes a valuable theoretical and technological pathway for integrating acoustic physics with advanced acoustic circuits.