  In the generalized Born-Infeld electrodynamics discovered by Bandos, Lechner,
Sorokin and Townsend, we study transverse electric waves propagating
perpendicular to a constant magnetic field background in a parallel-plate
waveguide. The directions of propagation and polarization of the waves are
perpendicular to each other, and both of them are parallel to the perfectly
conducting plates. Two specific configurations are studied, in which the
background magnetic field is either normal to the plates or along the
polarization direction. The dispersion relation, the velocity and the cutoff
frequency of the lowest-order lowest-frequency mode are calculated in both
configurations. This paves the way for a promising test of the generalized
Born-Infeld electrodynamics.
