Study of circular geodesics and shadow of rotating charged black hole surrounded by perfect fluid dark matter immersed in plasma

In this work, we consider a rotating charged black hole surrounded by perfect fluid dark matter. We consider the system to be immersed in non-magnetised, pressureless plasma. First, we evaluate the null geodesics in order to study the co-rotating and counter rotating photon orbits. Further, we analyse the null geodesics to calculate the celestial coordinates (alpha, beta). The celestial coordinates are used to determine the black hole shadow radius (R (s)). Thereafter, we observe and analyse the effects of black hole spacetime, perfect fluid dark matter and plasma parameters (a, Q, chi, k) on the black hole shadow in detail. Finally, we study the effect of plasma distribution on the effective potential (V (eff)) of the black hole spacetime as encountered by the photons. We also present bounds on the plasma parameter from the observational data from M87* central supermassive black hole.