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基于 Voronoi镶嵌的阿基米德螺旋相控阵声场特性研究

Research on sound field characteristics of Archimedean spiral phased array based on Voronoi tessellation

  • 摘要: 阿基米德螺旋相控阵存在焦点声压不足的问题。为提高焦点声压,可通过增加换能器的辐射面积实现。本文采用Voronoi镶嵌方法来设计阿基米德螺旋相控阵的阵元排布,得到了两种不同阵元排布的镶嵌阵列换能器。通过有限元仿真,研究了镶嵌阵列换能器的焦点声压、旁瓣与栅瓣水平及偏转范围等。结果表明,两种Voronoi镶嵌阿基米德螺旋相控阵的填充率分别为81.43%和77.94%,与圆形阵元阿基米德螺旋相控阵相比,焦点声压分别提高了51.49%和45.28%,同时,通过提高阵元的几何非周期性,可有效抑制栅瓣水平,保持良好的偏转能力。本文还研究了换能器焦距对镶嵌阵列声场的影响,结果表明当换能器F数在0.85~0.95范围内时,其能保持较高的焦点声压和较低的栅瓣水平,并具有更好的聚焦性能。本文的仿真结果为阿基米德螺旋相控阵提高焦点声压提供了有用的设计参考。

     

    Abstract: The Archimedean spiral phased array suffers from insufficient focal sound pressure. To enhance the focal sound pressure, one effective approach is to increase the transducer’s radiating area. In this paper, the Voronoi tessellation method is employed to design the element layout of the Archimedean spiral phased array, yielding two distinct tessellated array configurations. Finite element simulations are conducted to investigate the focal sound pressure, sidelobe level, grating lobe level, and beam steering range of these tessellated transducers. Results show that the packing densities of the two Voronoi-tessellated Archimedean spiral phased arrays are 81.43% and 77.94%, respectively. Compared with a conventional circular-element Archimedean spiral phased array, the focal sound pressure is improved by 51.49% and 45.28%, respectively. Moreover, introducing greater geometric randomness in the element shapes effectively suppresses the grating lobe level while preserving favorable beam steering capability. This paper also examines the influence of transducer focal length on the acoustic field of the tessellated array. Results indicate that, when the transducer’s F-number ranges from 0.85 to 0.95, it maintains higher focal sound pressure, lower grating lobe level, and superior focusing performance. The simulation results presented herein provide a valuable design reference for enhancing focal sound pressure in Archimedean spiral phased arrays.

     

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