Excitation and propagation of surface polaritonic rogue waves and breathers

Abstract

Excitation and propagation of the surface polaritonic rogue waves and breathers are investigated by proposing a coupler free optical waveguide that consists of a transparent layer, middle negative index metamaterial layer, and bottom layer of the cold four level atomic medium. In this planar optical waveguide, a giant controllable Kerr nonlinearity is achieved by sufficient field concentration and a proper set of intensities and detunings of the driven laser fields. As a result, various kinds of temporal surface polaritonic solitons, rogue waves, and breathers can be propagated in the narrow window for electromagnetically induced transparency. We find that the giant intensity and extreme concentration of surface polaritons with low generation power can be achieved by excitation of the first- and second-order peregrine rogue waves. Furthermore, the first- and higher-order surface polaritonic Akhmediev breathers can be propagated at the slow light level due to modulation instability in the proposed optical waveguide. We demonstrate that surface-polariton propagation length can be significantly enhanced by Kuznetsov-Ma breather dynamics.