发表机构
University of Jinan; Institute of Theoretical Physics, Chinese Academy of Sciences; Ningbo University（济南大学; 中国科学院理论物理研究所; 宁波大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究共形反常黑洞对标量平面波的散射与衍射，发现泊松斑强度对近视界几何敏感，并分析了吸收截面与光环散射，揭示了电荷与反常参数对衍射峰的影响。
AI 中文摘要
我们研究了静态共形反常黑洞对标量平面波的散射与衍射。我们确定了有限距离下分波级数（PWS）方法的截断要求，并计算了完整的波形，这些波形显示出清晰的衍射图样：在负z轴上，场退化为入射平面波；而在正z轴上，畸变的平面波与散射球面波共存，且在θ=0处出现一个明亮的泊松斑，周围环绕着同心衍射环。我们得到了泊松斑的轴上强度作为径向坐标的函数。该强度对近视界几何最为敏感：在视界附近，其与RN黑洞的强度显著不同，而在远场中两条曲线趋于一致。我们将此归因于度规函数，其中f'(r_+)的不同取值产生不同的相位增量，从而压缩并移动干涉条纹，而共形反常修正项以O(α̃M²/r⁴)的阶数衰减。通过分析势垒，我们研究了吸收截面，并使用级数约化方法加速了微分散射截面的PWS收敛。低频和高频吸收截面分别与势垒的ℓ=0部分和ℓ依赖部分强相关。微分截面和光环散射主要来源于排除外视界小邻域的有限区域内的散射。电荷和α̃对光环峰宽度的影响相反，但对峰高的影响相同。
英文摘要
We investigate the scattering and diffraction of scalar plane waves by static conformal anomaly black holes. We determine the truncation requirements for the partial-wave series (PWS) method at finite distances and compute the full waveforms, which display a clear diffraction pattern: on the negative $z$-axis the field reduces to the incident plane wave, while on the positive $z$-axis a distorted plane wave coexists with a scattered spherical wave, and a bright Poisson spot appears at $θ=0$ surrounded by concentric diffraction rings. We obtain the on-axis intensity of the Poisson spot as a function of the radial coordinate. The intensity is most sensitive to the near-horizon geometry: close to the horizon it differs markedly from that of the RN black hole, whereas in the far field the two curves converge. We trace this to the metric functions, where different values of $f'(r_+)$ produce different phase increments that compress and shift the interference fringes, while the conformal anomaly correction falls off as $O(\tildeαM^2/r^4)$. By analyzing the potential barrier we study the absorption cross section, and use the series reduction method to accelerate the PWS convergence for the differential scattering cross section. The low- and high-frequency absorption cross sections are strongly correlated with the $\ell=0$ and $\ell$-dependent parts of the potential barrier, respectively. The differential cross section and glory scattering arise mainly from scattering in a finite region excluding a small neighborhood of the outer horizon. Charge and $\tildeα$ have opposite effects on the width of the glory peak but the same effect on its height.
Comments35 pages, 12 figures
