Three-dimensional extremely short optical pulses in a phonic crystal with a superlattice

Based on Maxwell's equations in Coulomb calibration, which describe the dynamics of extremely short optical pulses in a photonic crystal with a three-dimensional superlattice connected by strong tunneling along one axis, a phenomenological equation was obtained in the form of the classical 2+1-dimensional sine-Gordon equation with variable coefficients for the case of cylindrical symmetry. The steady propagation of such pulses is established, as well as the dependence of the evolution of these pulses on the parameters of the photonic crystal.