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T-matrix method for acoustical Bessel beam scattering from a rigid finite cylinder with spheroidal endcaps

机译：T矩阵方法从带有球端盖的刚性有限圆柱体中散射贝塞尔光束

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摘要

In this paper, the T-matrix (null-field) method is developed to investigate the acoustic scattering by a rigid fixed (immovable) finite cylinder with two spheroidal endcaps immersed in a non-viscous fluid under the illumination of an unbounded zeroth-order Bessel beam with arbitrary orientation. Based on the proposed method, a MATLAB software package is constructed accordingly, and then verified and validated to compute the acoustic scattering by a rigid finite-length cylinder in the Bessel beam. Several numerical examples are carried out to investigate the novel phenomenon of acoustic scattering by a cylinder with spheroidal endcaps in a Bessel beam with arbitrary incidence, with particular emphasis on the aspect ratios (including the ratio of total length to diameter of the finite cylinder and the ratio of polar radius to equatorial radius of the spheroidal endcaps), the 'half-cone angle of Bessel beam, the dimensionless frequency, as well as the angle of incidence. The quasi periodic oscillations are observed in the plots of the far-field backscattering form function modulus versus the dimensionless frequency, owing to the interference between the specular reflection and the Franz wave circumnavigating the finite cylinder in the surrounding fluid. A geometrical model of Bessel beam scattering is employed to further verify the effectiveness of the T-matrix method. Furthermore, the 3D far-field scattering directivity patterns at end-on incidence and 2D polar plots at arbitrary angles of incidence are exhibited, which could provide new insights into the physical mechanisms of Bessel beam scattering by finite cylinders with spheroidal endcaps of different aspect-ratios. This research work provides an impetus for engineering applications in underwater acoustics, particle characterization and the interaction of elongated structures with acoustical Bessel beams.
机译：在本文中，开发了T矩阵（零场）方法，以研究无穷零阶光照下具有两个球形端盖的刚性固定（不可移动）有限圆柱体在非粘性流体中的声散射。贝塞尔光束具有任意方向。基于提出的方法，构造了一个MATLAB软件包，然后进行了验证和验证，以计算贝塞尔光束中刚性有限长度圆柱体的声散射。进行了几个数值示例，以研究贝塞尔光束中带有球形端盖的圆柱体在任意入射情况下的声散射现象，并特别强调了长宽比（包括有限圆柱体的总长与直径之比以及球形端盖的极半径与赤道半径之比，贝塞尔光束的半锥角，无量纲频率以及入射角。由于镜面反射和弗朗兹波之间的干涉使有限流体在周围流体中绕行，因此在远场反向散射形式函数模量与无量纲频率之间的曲线图中观察到了准周期性振荡。贝塞尔光束散射的几何模型用于进一步验证T矩阵方法的有效性。此外，还展示了在端部入射时的3D远场散射方向性图和在任意入射角处的2D极坐标图，这可以为具有不同长宽比球面端盖的有限圆柱体对贝塞尔光束散射的物理机理提供新的见解。比率。这项研究工作为在水下声学，颗粒表征以及细长结构与贝塞尔声束相互作用中的工程应用提供了动力。

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  • 来源
    《Ocean Engineering》 |2017年第1期|507-519|共13页
  • 作者

    Gong Zhixiong; Li Wei; Chai Yingbin; Zhao Yao; Mitri Farid G.;

  • 作者单位

    Huazhong Univ Sci & Technol, Sch Naval Architecture & Ocean Engn, Wuhan 430074, Peoples R China;

    Huazhong Univ Sci & Technol, Sch Naval Architecture & Ocean Engn, Wuhan 430074, Peoples R China|Hubei Key Lab Naval Architecture & Ocean Engn Hyd, Wuhan 430074, Peoples R China|Collaborat Innovat Ctr Adv Ship & Deep Sea Explor, Shanghai 200240, Peoples R China;

    Huazhong Univ Sci & Technol, Sch Naval Architecture & Ocean Engn, Wuhan 430074, Peoples R China;

    Huazhong Univ Sci & Technol, Sch Naval Architecture & Ocean Engn, Wuhan 430074, Peoples R China|Hubei Key Lab Naval Architecture & Ocean Engn Hyd, Wuhan 430074, Peoples R China|Collaborat Innovat Ctr Adv Ship & Deep Sea Explor, Shanghai 200240, Peoples R China;

    Area 52 Technol ETC, Chevron, Santa Fe, NM 87508 USA;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    Bessel beam; T-matrix method; Rigid finite cylinder; Franz wave; Geometrical model;

    机译：贝塞尔光束;T-矩阵法;刚性有限圆柱;弗朗兹波;几何模型;

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