Abstract
The propagation of coupled forward and backward waves in the system of two tunnel-coupled waveguides, one with negative, and the other with positive refractive index, is considered. General solution of the evolution equations describing the wave propagation is found taking the traveling wave into account. Dependence of wave amplitude and frequency on arbitrary constants is analyzed. We have observed three types of waves in the nonlinear oppositely-directional coupler. Two of them are periodic and solitary waves that are well known in nonlinear optics. We also have found a new type of nonlinear waves for optics of artificial materials that is compacton.
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