Zero-spacing waveguide array acoustic circuit based on superimposed Mie resonators

Abstract

The invention relates to a zero-spacing waveguide array acoustic circuit design based on superimposed Mie resonators. The design is realized by using the superimposed Mie resonators with anisotropic spatial dispersion characteristics. In the design, the superposed Mie resonator is formed by superposing two conventional Mie resonators, and shows a remarkable anisotropic spatial dispersion characteristic. Through deep analysis and superposition of a complementary waveguide mode between a Mie resonator and a free space, an acoustic circuit with zero channel spacing is constructed. On the basis, the acoustic circuit design with the functions of sharp bending, routing, shunting and the like is realized by accurately regulating and controlling an acoustic wave transmission path. In addition, the hard boundary small ball is added at the bending part of the acoustic circuit, so that the sound wave leakage is obviously reduced, and the crosstalk between different channels is effectively reduced. The invention provides an innovative solution for integration of waveguide physical and acoustic circuits.

Description

Technical field:

[0001] The invention relates to the use of superimposed Mie resonators. When the unit size of an acoustic metamaterial is much smaller than the wavelength of a sound wave, a zero-spacing waveguide array acoustic circuit based on superimposed Mie resonators is proposed, which belongs to the field of metamaterial sound wave regulation. Background technology:

[0002] Acoustic circuits are the core of compact devices based on acoustic waves and can be seen as the counterpart of mechanical waves in photonic integrated circuits for performing specific functions. Photonic integrated circuits achieve wave transmission and integration of on-chip optical components through highly constrained waveguides, which can achieve small-scale bending and confine photons to a small range, thereby achieving efficient photon interactions. Although the analogy between light and acoustic waves has been widely studied, it is still challenging to realize efficient and compact waveguide structures similar to photonic integrated circuits in acoustic circuits. Conventional acoustic wave transmission usually relies on straight channel waveguides with hard boundaries, whose wavefronts remain unchanged during the propagation of acoustic waves. At the same time, there is a limit to the cladding thickness. Once the cladding thickness is lower than this limit, the crosstalk between adjacent channels will increase significantly, which further hinders the compact design of acoustic integrated circuits. At present, a lot of efforts have been devoted to effectively controlling the crosstalk between channels while reducing the cladding thickness. The latest research in photonic integrated circuits has proposed zero-pitch waveguide arrays, which eliminates the need for cladding by reducing waveguide crosstalk by utilizing offset spatial dispersion. These channels also serve as effective cladding for adjacent channels, allowing the spacing to be reduced to zero, thereby improving space utilization efficiency and solving the crosstalk problem between traditional waveguides. This research result in photonic integrated circuits provides new ideas for the design of acoustic waveguides. By cleverly designing the spatial dispersion characteristics of waveguide arrays, acoustic integrated circuits are also expected to achieve zero-spacing waveguide arrays, effectively controlling crosstalk while reducing cladding thickness, which will further enhance the integration and space utilization efficiency of acoustic circuits. Summary of the invention:

[0003] The present invention proposes a zero-spacing waveguide array acoustic circuit design based on superimposed Mie resonators. The design utilizes the anisotropic spatial dispersion characteristics of the resonator so that each channel simultaneously serves as an effective cladding for the adjacent channels, significantly improving the space utilization and compactness of the system. Through the optimized design, an acoustic circuit capable of realizing sharp bends, routing and branching functions was successfully constructed. This design introduces hard-boundary spheres in the curved area of ​​the acoustic circuit to effectively suppress acoustic wave leakage and significantly reduce crosstalk between channels. The designed acoustic circuit is suitable for acoustic devices that require efficient sound transmission and control in a compact space, such as acoustic filters, acoustic wave routers, and acoustic signal processing equipment.

[0004] The key technology adopted by the present invention to solve its technical problem is:

[0005] (1) Design of superimposed Mie resonator

[0006] In recent years, the research boom in the field of acoustic materials has focused on the development of metamaterials with subwavelength structures to achieve acoustic wave transmission and regulation. In this progress, superimposed Mie resonators have shown significant advantages in achieving acoustic wave transmission and regulation. Compared with traditional waveguides, superimposed Mie resonators composed of two overlapping conventional Mie resonators have unique advantages in size and reconfigurability. Superimposed Mie resonators have anisotropic spatial dispersion characteristics, and the use of this microstructure can well achieve acoustic wave regulation at subwavelength sizes.

[0007] (2) Design of anisotropic isofrequency curves

[0008] The superimposed Mic resonator achieves controllability of the direction of sound wave propagation by controlling the anisotropic distribution of the isofrequency curves. At different rotation angles, the distribution of the isofrequency curves changes, allowing the sound waves to propagate in a specific direction, thereby achieving efficient sound wave transmission.

[0009] (3) Application of complementary waveguide modes

[0010] Based on the analysis of anisotropic isofrequency curves, the present invention studies two complementary waveguide modes: the superimposed Mie resonator waveguide mode in free space (odd mode) and the free space waveguide mode in the superimposed Mie resonator (even mode). These two modes can effectively limit the propagation of sound waves under different channel widths, thereby significantly reducing the crosstalk between waveguides and ensuring the stability of sound wave transmission on a specified path.

[0011] (4) Implementation of zero-spacing waveguide array

[0012] For the superimposed Mie resonator, it will exhibit different resonance modes under the excitation of sound waves of different frequencies, such as monopole, dipole, multipole and other resonance modes. When the microstructure unit is in the dipole resonance mode, the sound energy will be concentrated inside the structure and diffuse in two directions. By utilizing the anisotropic frequency dispersion characteristics of the superimposed Mie resonator in its dipole resonance mode, the sound waves can be effectively guided to propagate in a specific direction to achieve directional transmission of sound waves. In addition, the sound pressure distribution and phase distribution in this resonance mode show symmetry, which helps to form a stable sound wave transmission path in the waveguide array, thereby realizing the construction of a zero-spacing waveguide structure. This feature provides key technical support for realizing acoustic circuit functions such as sharp bends, sound wave routing and branching, and significantly improves the space utilization and integration of the system.

[0013] (4) Optimization design of hard-boundary balls

[0014] The design of the hard-boundary sphere effectively suppresses acoustic leakage and channel crosstalk by introducing a highly reflective boundary in the curved area. This optimization scheme plays a key role in acoustic circuits, especially in complex zero-pitch waveguide array designs, ensuring efficient transmission of acoustic waves and stable operation of the system. This design not only improves the transmission efficiency of the system, but also lays a technical foundation for the further application of highly integrated acoustic circuits.

[0015] The beneficial effects of the present invention are:

[0016] Since the present invention designs a sub-wavelength structure based on superimposed Mie resonators, the anisotropic spatial dispersion characteristics of the resonators are used to achieve different transmission effects of sound waves in different directions, thus constructing a zero-spacing waveguide array. On this basis, the hard-boundary sphere optimization design is used, and hard-boundary spheres are added at the bending gaps to effectively suppress sound wave leakage and significantly reduce crosstalk between channels.

[0017] (1) Since the present invention designs a superimposed Mie resonator metamaterial, acoustic waves can be regulated at subwavelength scales. Compared with the use of traditional hard-boundary waveguides, the waveguide array composed of superimposed Mie resonators has unique advantages in size and reconfigurability.

[0018] (2) The present invention proposes a design scheme for complementary waveguide modes by analyzing the resonant modes and anisotropic spatial dispersion characteristics of superimposed Mie resonators. On this basis, three basic acoustic directional units with different anisotropic spatial dispersions are designed by alternately arranging superimposed Mie resonator waveguide arrays and free space waveguide arrays, and acoustic sharp bends, routing and branch circuits are successfully realized. This opens up a new implementation method for waveguide physics and the design of acoustic integrated circuits.

[0019] (3) The superimposed Mie resonator designed by the present invention and its zero-pitch waveguide array based on complementary waveguide modes provide an efficient means for cladding-free acoustic circuits and acoustic wave transmission control devices. This innovative design idea can be applied to the fields of acoustic device integration, precision acoustic wave control, industrial acoustic transmission, and acoustic communication, providing an efficient, compact, and adjustable acoustic wave transmission solution. Description of the drawings:

[0020] Figure 1 Schematic diagram of the unit cell of superimposed Mie resonators (left) and the unit cell of a single Mie resonator (right);

[0021] Figure 2 (a) Sound pressure distribution of superimposed Mie resonator; (b) Phase eigenfunction distribution of superimposed Mie resonator;

[0022] Figure 3(a) Curve of the variation of transmittance of the superimposed Mie resonator with the rotation angle θ; (b) Comparison of the isofrequency curves of the free space and the superimposed Mie resonator unit cell at a frequency of 634 Hz, where the rotation angle of the superimposed Mie resonator is θ = 0°; (c) Comparison of the isofrequency curves of the free space and the superimposed Mie resonator unit cell at a frequency of 634 Hz, where the rotation angle of the superimposed Mie resonator is θ = 90°;

[0023] Figure 4 (a) Schematic diagram of the principle of free-space waveguide modes in superimposed Mie resonator space; (b) Schematic diagram of the principle of superimposed Mie resonator waveguide modes in free space; (c) Sound pressure distribution diagram of free-space waveguide modes in superimposed Mie resonator space; (b) Sound pressure distribution diagram of superimposed Mie resonator waveguide modes in free space;

[0024] Figure 5 (a) Schematic diagram of the structure of the zero-spacing waveguide array; (b)-(f) Sound pressure distribution when a plane wave is incident from the five waveguide array ports (M1-M3, F1, F2) respectively;

[0025] Figure 6 (a) Schematic diagram of the transmission of superimposed Mie resonators in the x and y directions and free space in both directions; (b) Schematic diagram of the simulation model of the 90° acoustic sharp bend circuit; (c) Schematic diagram of the simulation model of the acoustic routing circuit; (d)-(g) Schematic diagram of the transmission from the input port I i (i=1,2,3,4) to output port O i Sound pressure distribution diagram of

[0026] Figure 7 (a) Schematic diagram of the model of an acoustic shunt circuit with two input ports and four output ports; (b) Sound pressure distribution diagram of an acoustic circuit with two input ports and four output ports; (c) Model of an acoustic circuit with one input port and three output ports; (d) Sound pressure distribution diagram of an acoustic circuit with one input port and three output ports;

[0027] Figure 8 Acoustic circuit optimization (a) Schematic diagram of the acoustic circuit simulation model after adding hard boundary spheres; (b) Sound pressure distribution diagram of the acoustic circuit after adding hard boundary spheres; (c) 2 to 2 The sound pressure value on the horizontal transmission path; (d) from I 2 to 2 The sound pressure value of the vertical transmission path; Specific implementation method:

[0028] The preferred implementation of the zero-spacing waveguide array acoustic circuit based on superimposed Mie resonators of the present invention will be described in detail below with reference to the accompanying drawings. Figures 1 to 8 The specific implementation of the zero-spacing waveguide array acoustic circuit based on superimposed Mie resonators is presented. In order to make the features and advantages of this patent more obvious and easy to understand, the following embodiments are specifically cited and described in detail as follows:

[0029] S1 designs a metamaterial based on superimposed Mie resonators: the microstructure unit is designed by considering geometric parameters such as wall width, channel width, inner radius, and outer radius;

[0030] S2 uses the frequency domain research of COMSOL Multiphysics multi-physics field simulation software to analyze the designed superposition Mie resonator structure, and studies the sound pressure and transmittance distribution of the superposition Mie resonator at different rotation angles. In addition, the characteristic frequency analysis of the unit cell is performed, and the isofrequency curves of the unit cell at different rotation angles are analyzed. The present invention mainly uses the dipole mode of the superposition Mie resonator. Under this resonance mode, the sound pressure distribution and phase distribution in the microstructure are symmetrically distributed, and the isofrequency curves are elliptical;

[0031] S3 uses two complementary waveguide modes to alternately arrange the designed superimposed Mie resonator array with free space to construct a zero-spacing waveguide array acoustic circuit, and designs different channel widths to meet different acoustic transmission requirements. In addition, three basic units of acoustic directional transmission are constructed to realize acoustic sharp bends, routing and branching circuits;

[0032] S4 adopts a hard-boundary ball optimization design, placing hard-boundary balls in the curved area to introduce high-reflection boundaries, thereby suppressing sound wave leakage and crosstalk between channels.

[0033] Figure 1 is a schematic diagram of the designed superimposed Mie resonator and a schematic diagram of a single Mie resonator. Figure 1 The left figure is a schematic diagram of a unit cell of a superimposed Mie resonator, which is composed of two Figure 1 The individual Mie resonators shown in the right figure are overlapped with each other at a distance of d = 8 cm. Figure 1 The Mie resonator on the left consists of two zigzag channels surrounding a hollow circular center. The outer radius and inner radius of the Mie resonator are R = 42mm and r = 10.5mm respectively. The entire structure is divided into two parts, each occupying half of the space. Unlike traditional Mie resonators, Figure 1 The Mie resonator in the right picture keeps the area ratio unchanged, but each area shows a different number of folding layers. The number of folds in the left folding space and the right folding space are N respectively. 1 =6 and N 2 =4. The width and wall thickness of the zigzag channel are w i and t i(i=1, 2). The channel width and wall thickness on the left side of the Mie resonator are w 1 =3.5mm and t 1 =1.5mm; the channel width and wall thickness on the right side of the Mie resonator are w 1 =3.5mm and t 1 =1.5mm. The channel wall consists of a rigid part. Figure 1 The resonator shown in the left figure is rotated around the center point O, and the rotation angle θ varies in the range of 0° to 90°. Figure 1 The rotation angle of the resonator in the left figure is θ = 0°. The background medium is air with a mass density of ρ 0 =1.21kg / m 3 , the speed of sound is c 0 =343m / s.

[0034] Figure 2 The sound pressure distribution diagram and phase eigenfunction distribution diagram of the designed superposition Mie resonator unit cell. The directionality of the dipole resonance of the superposition Mie resonator enables the sound wave to propagate in a specific direction. This property provides precise control over the direction of sound wave propagation, thereby effectively guiding the sound wave to propagate along a predetermined path. Figure 2 (a) and Figure 2 (b) shows the sound pressure distribution and phase eigenfunction distribution of the designed superimposed Mie resonator at 634 Hz. In the eigenmode of 634 Hz, the sound pressure distribution and phase distribution show significant dipole resonance characteristics. Figure 2 The sound pressure distribution shown in (a) is centrally symmetrical. Figure 2 The phase distribution in (b) shows symmetry between positive and negative phases. These features also reveal the typical characteristics of dipole resonance.

[0035] Figure 3 The invention is a characteristic analysis of the transmission rate of the designed superposition Mie resonator unit cell changing with the rotation angle and its isofrequency curve. The rotation angle of the superposition Mie resonator plays an important role in the present invention. Figure 3 (a) shows the relationship between the transmittance and the rotation angle θ when the sound wave is incident on the superimposed Mie resonator at a frequency of 634 Hz. In the transmission direction of the sound wave, the number of resonators N is set to 5, 10 and 15 respectively. The results show that as the number of resonators increases, the range of rotation angles corresponding to high transmittance remains almost constant, and the variation trend of the transmittance curve is basically consistent. When the rotation angle range is 0° to 60°, the transmittance is close to 0; when the rotation angle range is 75° to 90°, regardless of the number of resonators in the transmission direction, the transmittance exceeds 90%. The realization of this rotational anisotropy is attributed to the unique structural design of the superimposed Mie resonator. Figure 3(b) and 3(c) show the comparison of the isofrequency curves of free space (air) and superimposed Mie resonator at rotation angles of 0° and 90°. x and k y Represent the horizontal and vertical components of the wave vector, respectively. In both cases, the isofrequency curves (solid curves) of the superimposed Mie resonator present a significantly curved elliptical shape, indicating that the designed superimposed Mie resonator has anisotropic spatial dispersion characteristics. The isofrequency curves of free space (dashed curves) appear circular, indicating that the wave vector is uniformly distributed in all directions. Since the isofrequency curves of the superimposed Mie resonator and the free space overlap, the two media will excite anomalous refraction phenomena at the interface. Figure 3 In (b), for the incident sound wave represented by the arrow, when it is horizontally incident from free space along the x direction to the superposition Mie resonator with a rotation angle of 0°, the tangent line at the intersection cannot intersect with the ellipse, indicating that the propagating wave cannot achieve coupling. On the contrary, when the incident sound wave represented by the arrow is vertically incident along the y direction to the superposition Mie resonator with a rotation angle of 0°, the extension of the dotted line intersects with the ellipse, and the normal is perpendicular to the interface between the air and the metamaterial composed of the superposition Mie resonator. According to the equifrequency surface theory, Figure 3 The dotted arrow in (b) indicates the propagation direction of the sound wave inside the metamaterial, denoted by v g1 This indicates that the incident acoustic wave is able to match the wave vector component of the metamaterial and thus propagate along the y direction. Figure 3 In the case shown in (c), when an acoustic wave enters the superposition Mie resonator with a rotation angle of 90° from free space, only the acoustic wave incident along the x direction can match the wave vector component of the metamaterial and propagate along this direction, which is recorded as v g2 In summary, the equifrequency surface characteristics of the superimposed Mie resonator determine the coupling and propagation behavior of the acoustic wave in the Mie resonator structure at different rotation angles.

[0036] Figure 4 It is a model schematic diagram and sound pressure distribution diagram of two complementary waveguide modes. Figure 4 (a) and Figure 4 (b) shows the superposition of Mie resonator waveguides in free space (odd mode) and the superposition of Mie resonator waveguides in free space (even mode). These two complementary waveguide modes are important components of acoustic circuits. In both cases, the parallel wave vector component k of the waveguide mode in the free space channel is || is smaller than the free space wave vector k 0 , while the waveguide mode in the superimposed Mie resonator array channel satisfies k || >k 0 This property has important implications for the control and routing of sound waves. Figure 4 (c) and Figure 4(d) respectively show Figure 4 (a) and Figure 4 (b) The simulation results of the model schematic diagram. The width of the free space channel is d 1 =4R+0.8cm, the width of the superimposed Mie resonator channel is d 2 =4R-0.8cm. The simulation results show that Figure 4 In (c), the sound waves are well confined in the free space channel. Figure 4 The acoustic waves in the resonator array channel in (d) are also well confined. Therefore, the difference in wave vectors between free space and the superimposed Mie resonators eliminates the need for a physical barrier in the wave-exclusion zone.

[0037] Figure 5 The model diagram of the zero-spacing waveguide array and the sound pressure distribution diagram when the sound wave is incident from different ports are shown. By alternately arranging the superimposed Mie resonator array channels and free space along the y direction, a zero-spacing waveguide array acoustic circuit can be constructed. Since the waveguide modes in the free space waveguide and the superimposed Mie resonator array waveguide satisfy k || <k 0 and k || >k 0 , the crosstalk between the two is significantly reduced. Figure 5 (a) shows the schematic diagram of the zero-spacing waveguide array acoustic circuit designed using COMSOL. The design includes three superimposed Mie resonator array channels (widths M1 = 4R-0.4cm, M2 = 8R-0.4cm and M3 = 12R-0.4cm) and two free space channels (widths F1 = 4R+0.8cm and F2 = 8R+0.8cm). A plane wave source is set at the left port of the waveguide array to excite the five channels in sequence. Figure 5 (b)- Figure 5 (f) shows the acoustic pressure distribution when a plane wave is incident from each port. The simulation results show that the acoustic wave propagates well in the corresponding channel being excited while keeping the wavefront unchanged. Even when the channel spacing is zero, the acoustic wave can propagate independently in the five channels, and the crosstalk between the channels is almost negligible. Therefore, the channels of different widths constructed by the designed superimposed Mie resonators not only transmit acoustic waves in their respective channels, but also serve as effective cladding for other channels.

[0038] Figure 6 The following is a model diagram and sound pressure distribution diagram of a 90° sharp bend circuit and a routing circuit. In a free space waveguide, sound waves propagate in all directions. By using superimposed Mie resonators with rotation angles of 0° and 90°, two waveguides can be designed to transmit sound waves only in the x direction or the y direction. Based on this, a Figure 6 (a) shows three basic units, where the double-headed arrows represent two basic units consisting of superimposed Mie resonators, and the crossed arrows represent basic units consisting of free space. By properly arranging these three basic units, sharp bends and routed acoustic circuits can be realized. Figure 6 (b) shows a schematic diagram of the model containing a 90° acoustic sharp bend circuit. The input ports and output ports of the three groups of waveguide arrays are marked as I i and O i (i=1, 2, 3). The lines and arrows indicate the transmission path and direction of the sound wave. i When (i=1, 2, 3) is input, it propagates along the path indicated by the line and sequentially enters from port O i (i=1, 2, 3) output. Figure 6 (d)-(f) show the plane wave passing through the three input ports I i (i=1, 2, 3) Sound pressure distribution diagram at the time of incidence. Based on the three basic units of sound directionality, the transmission of sound waves can be switched between the free space waveguide array and the superimposed Mie resonator waveguide array. The simulation results show that the sound waves are well confined in the corresponding excited waveguide array during propagation, and the sound wave leakage is small at the bends of the 90° sharp bend circuit. These results show that the design can effectively control the transmission path of sound waves and verify the potential of superimposed Mie resonators in acoustic circuit applications. In addition, a 180° bent acoustic circuit can be constructed by two consecutive 90° bends. By combining multiple 90° and 180° bends, an acoustic routing circuit in which sound waves can traverse the entire physical field can be realized. Figure 6 (c) shows a schematic diagram of the acoustic routing circuit model, which includes two 180° bends and one 90° bend. 4 The input is transmitted along the path indicated by the solid line in the figure and is transmitted from port O 4 Output. Figure 6 (g) shows the sound pressure distribution diagram of sound wave transmission in the acoustic routing circuit, further verifying the effect of successful routing of the sound wave.

[0039] Figure 7 It is a model diagram of the acoustic shunt circuit and the sound pressure distribution diagram. Figure 6 In this paper, three basic units of acoustic directionality with different anisotropic spatial dispersion characteristics are introduced. By arranging these three basic units, it is possible to design Figure 7 (a) and 7(c) show the zero-spacing waveguide array acoustic shunt circuit. Figure 7 (a) shows a circuit with two input ports I i (i=5, 6) and four output ports O i(i=5-1,5-2,6-1,6-2) shunt circuit, and there is no channel spacing between the four output ports. 5 When input, it follows Figure 7 The solid line in (a) indicates the path of propagation, and finally reaches port O 5-1 and O 5-2 Similarly, when the sound wave passes through port I 6 When input, it follows Figure 7 The dotted line in (a) propagates along the path and reaches port O. 6-1 and O 6-2 . Figure 7 (c) shows another shunt circuit with an input port I i (i=7) and three output ports O i (i=7-1,7-2,7-3). When the sound wave is transmitted from port I 7 When input, it propagates along the path indicated by the solid line, branches at the free space unit, and continues to transmit along the channels guided by the paths indicated by the three solid lines to the output port O. 7-1 ,O 7-2 and O 7-3 . Figure 7 (b) and (d) show the plane wave from the input port I i The sound pressure distribution at the time of incidence (i=5, 6, 7). These results show that both shunt circuits can operate normally and realize the shunt function without gaps between output channels.

[0040] Figure 8 It is the optimization of acoustic circuit. Since the sound wave will undergo mode conversion when passing through the curved area during propagation, the gap at the bend may cause the sound wave to be transmitted to the adjacent waveguide array. To prevent this phenomenon from happening, we added a radius of r in the curved area. 1 =1.3cm and r 2 = 2cm hard-bounded sphere, such as Figure 8 (a) shown. Figure 8 (b) shows the simulation results after adding a hard boundary sphere. Figure 6 Compared with (d), the acoustic leakage in the free space channel is significantly suppressed. In addition, we calculated Figure 8 The sound pressure value in the free space channel along the solid line in (b) is as follows: Figure 8 (c) and Figure 8 (d) as shown. Figure 8 (c) shows I 2 to 2 Sound pressure distribution along the horizontal transmission path (from left to right); Figure 8 (d) shows I 2 to 2Sound pressure distribution along the vertical transmission path (from bottom to top). The solid curve represents the sound pressure value before optimization, while the dashed curve represents the sound pressure value after optimization. The results show that the addition of hard boundary spheres significantly reduces the sound wave leakage on the transmission path and effectively prevents the sound wave from entering the adjacent channel.

Claims

1. A zero-spacing waveguide array acoustic circuit based on superimposed Mie resonators, characterized in that: The following steps are involved: Step 1: Design the structure of the superimposed Mie resonator metamaterial and set various geometric parameters; Step 2: Analyze the designed superimposed Mie resonator structure using the frequency domain study and characteristic frequency study of COMSOL Multiphysics multi-physics field simulation software to analyze the influence of superimposed Mie resonators with different rotation angles on the acoustic transmittance and their anisotropic spatial dispersion characteristics; Step 3: Based on the theory of complementary waveguide modes, construct the basic unit of acoustic directional transmission and design a zero-spacing waveguide array to realize acoustic sharp bends, routing and branching circuits; Step 4: Use hard-boundary spheres to optimize the acoustic circuit design to reduce acoustic wave leakage and crosstalk between channels.

2. The zero-spacing waveguide array acoustic circuit based on superimposed Mie resonators according to claim 1, characterized in that: In Step 1, the superimposed Mie resonator is designed by considering geometric parameters such as wall width, channel width, inner radius, and outer radius.

3. The zero-spacing waveguide array acoustic circuit based on superimposed Mie resonators according to claim 1, characterized in that: In step 2, the designed superimposed Mie resonator is placed in a waveguide, and the frequency domain research of COMSOL Multiphysics multi-physics field simulation software is used for quantitative analysis to study the sound pressure and transmittance distribution of the superimposed Mie resonator at different rotation angles; in addition, the characteristic frequency analysis of the unit cell is performed, and the equal frequency curves of the unit cell at different rotation angles are analyzed; the present invention mainly uses the dipole mode of the superimposed Mie resonator, and under this resonance mode, the sound pressure distribution and phase distribution in the microstructure are symmetrically distributed, and the equal frequency curves are elliptical.

4. The zero-spacing waveguide array acoustic circuit based on superimposed Mie resonators according to claim 1, characterized in that: In Step 3, two complementary waveguide modes are used to alternately arrange the designed superimposed Mie resonator array and the free space to construct a zero-spacing waveguide array acoustic circuit, and different channel widths are set to meet the needs of various types of sound transmission; in addition, three basic units for controlling the direction of sound wave transmission are constructed to realize acoustic sharp bends, routing and branch circuits.

5. The zero-spacing waveguide array acoustic circuit based on superimposed Mie resonators according to claim 1, characterized in that: Placing hard boundary balls in the curved area introduces high reflection boundaries to reduce acoustic wave leakage and channel crosstalk.

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