  One of the best ways to understand the gravitation of a massive object is by
studying the photon's motion around it. We study the null geodesic of a regular
black hole in anti-de Sitter spacetime, including a Gaussian matter
distribution. Obtaining the effective potential and possible motions of the
photon are discussed for different energy levels. The nature of the effective
potential implies that the photon is prevented from reaching the black hole's
center. Different types of possible orbits are considered. A photon with
negative energy is trapped in a potential hole and has a back and forth motion
between two horizons of the metric. However, for specific values of positive
energy, the trapped photon still has a back and forth motion; however, it
crosses the horizons in every direction. The effective potential has an
unstable point outside the horizons, which indicates the possible circular
motion of the photon. The closest approach of the photon and the bending angle
are also investigated.
