Deflection angle evolution with plasma medium and without plasma medium in a parameterized black hole

Using the Keeton and Petters approach, we determine deflection angle. We also investigate motion of photons around a parameterized black hole in presence non-magnetized cold plasma by using new ray-tracing algorithm. In spherically symmetric spacetime, examine influence applying Hamiltonian equation on angle as well shadow. It is to derive rays analytically from Hamilton’s separating metric frequency. study that affects shadow for they depend If frequency significantly lower than photon frequency, sphere radius expressions can be linearized values found space light rays. Furthermore, have graphically analyze behavior distinct positions under effects low density medium.