Abstract
In this work, we investigate light capture by compact objects within a framework of gravity coupled to nonlinear electrodynamics of vacuum. Employing the effective metric approach arising in the eikonal approximation, we derive analytical expressions for the photon effective potential, the photon-sphere radius, the Lyapunov exponent, the critical impact parameter, and the geometrical capture cross-section of light in the presence of a magnetic dipole field. It is shown that nonlinear electrodynamic corrections perturbatively shift the photon sphere outward, reduce the Lyapunov exponent, and enlarge the geometrical capture cross-section relative to their standard Schwarzschild values. The obtained results provide a theoretical basis for future studies of photon capture in more realistic models of compact objects, including the effects of rotation, spacetime multipole moments, and more complex magnetic-field configurations.