Shadow and gravitational weak lensing for quantum improved charged black hole in plasma

We investigated the shadow and weak gravitational lensing for the quantum-improved charged black hole(BH).First,the photon motion and BH shadow were studied in a plasma medium.It can be seen from our analysis that the radius of the photon sphere of the quantum-improved charged BH and size of the BH shadow decrease under the influence of the plasma parameter.Furthermore,the gravitational weak lensing is considered for the quantum-improved charged BH,and we have obtained the deflection angle of light rays around a compact object for uniform and non-uniform plasma cases.It is shown that the value of the deflection angle for uniform plasma increases with increasing plasma parameter,and vice versa for non-uniform plasma.It has been also indicated that under the influence of the plasma parameter and BH charge,the values of the deflection angles for the two cases decrease.Finally,we investigated the magnification of image brightness using the deflection angle of the light rays around the quantum-improved charged BH.