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能量守恒定律在指向性函数计算中的应用(1)——等效孔径和等效束宽

APPLICATIONS OF ENERGY CONSERVATION LAW ON THE CALCULATION OF DIRECTIVITY FUNCTIONS

  • 摘要: 本文从能量守恒定律出发提出了等效孔径和等效束宽的概念,通过它们可以把基阵的结构和声场分布这两个几何图象联系起来,也把主瓣方向声压,指向性因子和主瓣宽度等量联系起来。本文计算了几种大波数尺寸基阵的等效孔径和等效束宽,概括起来有如下规律:平面阵的等效束宽等于它的以波长为单位度量的面积的倒数;曲面阵的等效束宽近似等于曲面的张角,并且近似为恒定束宽;曲面补偿阵的等效束宽与曲面在补偿方向投影构成的平面阵的近似相等。

     

    Abstract: The concepts on the effective aperture and the effective beamwidth are proposed based on energy conservation law in this paper. Through these concepts the sound field distribution may be associated with the array configuration, and the pressure in mainbeam direction, the directivity factor and the mainbeam width may be united.
    The effective aperture and the effective beamwidth of the arrays with larger dimension are computed and the following regularities are obtained: The effective beamwidth of a plane array equals the reciprocal of its area (measured by λ); The effective beamwidth of a curve array is approximately equal to the central angle of the curve array, and are approximately a constant beamwidth; The effective beamwidth of a compensated curve array is approximately equal to the aera of projection of it onto the compensated direction.

     

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