In this paper, we calculate the weak deflection angle by Casimir wormhole and its shadow. To do so, we derive the Gaussian optical curvature and use the Gauss–Bonnet theorem (GBT). Then we find the deflection angle by Casimir wormhole in weak field limits. Moreover, we obtain the weak deflection angle in the presence of plasma medium and see the effect of the plasma medium on the weak deflection angle. Moreover, we study a shadow of Casimir wormhole and we plot and discuss them. We show the shadow of Casimir wormhole’s behavior when changing the value of a.

中文翻译：

---

使用高斯-博内定理及其阴影的卡西米尔虫洞弱偏转角

在本文中，我们计算了卡西米尔虫洞及其阴影的弱偏转角。为此，我们推导出高斯光学曲率并使用高斯-博内定理 (GBT)。然后我们通过卡西米尔虫洞在弱场范围内找到偏转角。此外，我们获得了等离子体介质存在下的弱偏角，并观察了等离子体介质对弱偏角的影响。此外，我们研究了卡西米尔虫洞的影子，并绘制并讨论了它们。我们展示了改变 a 值时卡西米尔虫洞行为的影子。