  In recent years, various Lattice Boltzmann models for electrodynamics have
been developed as alternatives to classical methods such as Finite Difference
Time Domain (FDTD) and Finite Element Methods (FEM). However, there has been a
lack of systematic comparisons between these models. This paper addresses this
gap by comparing two specific Lattice Boltzmann models, published by Mendoza
and Mu\~noz (MM), and Hauser and Verhey (HV), respectively.
  To compare the models, we utilize time and memory as indicators, considering
the same achieved error, in four standard tests: a dielectric pulse traveling
through two interfaces, the skin effect, the Hertz dipole, and a dielectric
pulse traveling through several interfaces.
  The results indicate that both methods accurately simulate the tests and
exhibit convergence as the mesh is refined. However, the MM method outperforms
the HV method regarding time, while its memory efficiency was lower. The
modified Hauser-Verhey model demonstrates itself to be a promising alternative
to the Mendoza-Mu\~noz model. These findings contribute to the ongoing
development and optimization of numerical methods for electromagnetics
simulations.
