Transverse electric waves in Bandos-Lechner-Sorokin-Townsend nonlinear electrodynamics

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.