Thermodynamics and lensing of charged black hole surrounded by perfect fluid dark matter

We explore the effect of the plasma (uniform and non-uniform) on the deflection angle of relativistic neutral particles and the light of the charged black hole surrounded by fluid dark matter. It also shows how the plasma modifies the deflection angle aspects for a charged black hole within fluid dark matter. The thermodynamic features of a charged black hole in the background of perfect fluid dark matter are discussed. The temperature, mass, entropy, Gibbs free energy, and heat capacity are also analyzed under the effect of the fluid dark matter parameter. Further, we discuss some different aspects of heat capacity to check the transition from a stable phase to an unstable one for the considered black hole. It is found that all the required properties related to thermodynamics are well satisfied for the different values of charge and perfect fluid parameters.