In this study, we investigate the deflection angle of a torus-like regular charged black hole in the limit approximation of a weak field to check the effects of non-magnetic plasma and non-plasma medium. Using spacetime optical geometry, we first compute the Gaussian optical curvature. We study the light deflection angle from a charged torus-like black hole using the Gibbons and Werner approach. By taking into account the well-known Keeton–Petters approach, we validate our results. Moreover, we examine the shadow of a charged torus-like black hole by using the ray-tracing algorithm under the influence of pressureless and non-magnetized plasma and study the graphical effects of cosmological constant and charge for both anti-de Sitter and de Sitter cases on the shadow of a black hole.

在这项研究中，我们研究了环面规则带电黑洞在弱场极限近似下的偏转角，以检查非磁性等离子体和非等离子体介质的影响。使用时空光学几何，我们首先计算高斯光学曲率。我们使用吉本斯和沃纳方法研究来自带电圆环状黑洞的光偏转角。通过考虑著名的 Keeton-Petters 方法，我们验证了我们的结果。此外，我们利用射线追踪算法在无压和非磁化等离子体的影响下检查了带电圆环状黑洞的阴影，并研究了反德西特和德西特的宇宙学常数和电荷的图形效应黑洞阴影上的情况。