在轴零阶贝塞尔波束对手征介质球的散射特性分析

Analysis of scattering of an on-axis zero-order Bessel beam by a chiral sphere

  • 摘要: 贝塞尔波束自产生以来,凭借其无衍射、自修复特性已经获得了越来越多学者的关注。基于广义洛伦兹米理论, 将在轴贝塞尔波束与手征介质球相互作用的入射场及散射场展开为球矢量波函数的表达式。结合球矢量波函数的正交完备性及电磁场的连续性边界条件,推导出了在轴零阶贝塞尔波束对手征介质球电磁散射的解析解。数值模拟了散射强度随散射角的分布,将在轴贝塞尔波束退化为平面波照射手征介质球的散射结果与文献比较,吻合得较好。分析了波束及介质球参数、介质球偏离波束中心位置对散射强度的影响。该理论为手征材料和手征涂覆目标在微波工程及目标隐身中的应用提供了很好的理论应用价值。

     

    Abstract: By right of its non-diffracting and self-constructing property, Bessel beam has gained growing attentions from scholars since its naissance. Based on the generalized Lorenz-Mie theory (GLMT), the incident on-axis Bessel beam and scattered fields of the chiral sphere were expressed in terms of the spherical vector wave functions (SVWFs). The analytical solution to the scattering of chiral sphere illuminated by an on-axis zero-order Bessel beam was investigated by utilizing the SVWFs and continuous boundary conditions. The on-axis Bessel beam was degenerated to a plane wave incident on a chiral sphere, and the results were found to be in good agreement with the literature available. The effects of beam, particle parameters, and on-axis beam waist center shift z0 on the scattered intensity were numerically analyzed. The theory present here may play an important role in the fields of the applications of chiral material and chiral-coated target in microwave engineering and shielding targets.

     

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