Reflection type underwater sound metasurface design method for realizing underwater sound regulation and control
A design method and metasurface technology, applied in design optimization/simulation, special data processing applications, geometric CAD, etc., can solve the problem of inflexible control, lack of independent design methods for underwater acoustic metasurfaces, and disturbance of underwater metasurface unit acoustics Control parameters and other issues to achieve the effect of flexible control methods, strong replaceability, and reduced coupling
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Embodiment 1
[0053] In this embodiment 1, the abnormal sound beam deflection under the incident plane wave sound field is realized, wherein the acoustic surface impedance boundary can be calculated by the formula in step (2) as
[0054]
[0055] where Φ(x)=kxsinθ i -kx(coshβsinθ r +i sinhβsinθ r ), θ i and θ r Indicates the angle of incidence and angle of reflection, respectively, and β indicates the attenuation factor of the reflection amplitude of the reflected wave in the direction perpendicular to the propagation direction, and the value range is β≥0, where β=0 means no attenuation; A r Indicates the amplitude ratio of the reflected wave to the incident wave. In order to ensure independent design feasibility, A r The value of should ensure that Z s (x, 0)≥0 holds true for all x.
[0056] Take θ in this embodiment 1 i = 0°, θ r =70°, β=0.1, A r =0.995, a=λ / 20, b=λ / 10, d=λ / 50, where λ=2π / k=0.3m is the underwater acoustic wavelength when the frequency is 5000 Hz.
[0057] i...
Embodiment 2
[0061] In this embodiment 2, the single-point acoustic focusing under the incident plane wave sound field is realized, and its acoustic surface impedance boundary can be calculated by the formula in step (2) as
[0062]
[0063] where Φ(x)=kxsinθ i ;A r and θ i Same as above definition; (x f ,z f ) indicates the position of the focus, and represent the first kind of 0-order and 1-order Hank functions, respectively; Indicates the distance from each point on the hypersurface to the focal point.
[0064] Take θ in this embodiment 2 i = 0°, (x f ,z f ) = (3λ, 0.5λ), A r =2.2, a=λ / 20, b=λ / 10, d=λ / 50, where λ=2π / k=0.3m is the underwater acoustic wavelength when the frequency is 5000Hz.
[0065] Figure 6 Acoustic surface impedance distribution provided by theoretically required and optimally designed metasurface units for realizing single-point acoustic focusing of underwater reflected acoustic waves in the embodiment of the present invention. It can be seen that ...
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