Scalar beam propagation in a Lorentz-violating background C. A. Escobar, A. Martín-Ruiz, M. Mondragón and R. Jáuregui Eur. Phys. J. Plus, 140 4 (2025) 326 Published online: 22 April 2025 DOI: 10.1140/epjp/s13360-025-06262-8