大气泡散射几何模型与德拜模型的比较

Comparison between geometrical model and Debye model for large bubble scattering

  • 摘要: 米氏散射理论可严格计算球状粒子的散射特性,但它不能像德拜模型或几何模型那样反映诸如衍射、反射和折射等蕴含于散射过程中的物理现象。另外,米氏散射及其等价形式德拜级数数值计算的局限性在于微粒尺寸或折射率虚部值较大时,计算速度较慢或会产生溢出等现象。为此,对球状大尺寸气泡散射的几何模型和德拜模型进行了数值计算,分析比较了不同尺寸参数几何模型和德拜模型的散射光强分布,发现:当气泡尺寸参数足够大时,几何模型数值计算的结果与德拜模型基本吻合,但几何模型中平行于散射面的散射分量在前向散射角45°~90°范围内与德拜模型差距较大。

     

    Abstract: Mie theory is a powerful tool for calculating the scattering properties of spherical bubbles, but it can not give much insight into the physical scattering process (such as reflection, refraction and diffraction) as the geometrical model and Debye model do. Calculation with the geometricaloptics theory or Debyeseries expansion of the Mie amplitude can help us to understand the physical scattering mechanisms. In this paper, the scattering patterns of large spherical bubbles in water are calculated by both geometricaloptics model and the Debye model. A detailed comparison between the geometricaloptics model and Debye model is presented. The analysis result shows that the result from the geometricaloptics approach agrees well with those obtained by Debyemodel for the perpendicular polarized component when the size of the bubbles becomes large enough. However, there is large variance between the two calculations in the scattering region of 45°~90° for the parallel polarized component.

     

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