Abstract
Material characteristics and input-field specifics limit controllability of nonlinear electromagnetic-field interactions. As these nonlinear interactions could be exploited to create strongly localized bright and dark waves, such as nonlinear surface polaritons, ameliorating this limitation is important. We present our approach to amelioration, which is based on a surface-polaritonic waveguide reconfiguration that enables excitation, propagation and coherent control of coupled dark rogue waves having orthogonal polarizations. Our control mechanism is achieved by finely tuning laser-field intensities and their respective detuning at the interface between the atomic medium and the metamaterial layer. In particular, we utilize controllable electromagnetically induced transparency windows commensurate with surface-polaritonic polarization-modulation instability to create symmetric and asymmetric polaritonic frequency combs associated with dark localized waves. Our method takes advantage of an atomic self-defocusing nonlinearity and dark rogue-wave propagation to obtain a sufficient condition for generating phase singularities. Underpinning this method is our theory which incorporates dissipation and dispersion due to the atomic medium being coupled to nonlinear surface-polaritonic waves. Consequently, our waveguide configuration acts as a bimodal polaritonic frequency-comb generator and high-speed phase rotator, thereby opening prospects for phase singularities in nanophotonic and quantum communication devices.
Highlights
Controllable excitation for nonlinear plasmonics [1] and for polaritonic frequency-comb generation in nanophotonic circuits would be valuable for spectroscopy [2], quantum [3, 4] and fast optical communication [5]
We present our approach to amelioration, which is based on a surface-polaritonic waveguide reconfiguration that enables excitation, propagation and coherent control of coupled dark rogue waves having orthogonal polarizations
We explain the linear properties of excited two-mode surface-polaritonic waves (SPWs), obtain the coupled nonlinear Schrodinger equation (NLSE) system of equations and give a mathematical description to derive the Manakov system of equations in §IV A
Summary
Controllable excitation for nonlinear plasmonics [1] and for polaritonic frequency-comb generation in nanophotonic circuits would be valuable for spectroscopy [2], quantum [3, 4] and fast optical communication [5]. Recent investigations reveal excitation and propagation of nonlinear surface polaritonic (plasmonic) waves and explore applications to various nanoplasmonic systems [8] such as efficient high-harmonic generation [9, 10], ultrafast dynamics of SPWs [11], ultra-short pulse focusing [12, 13], light spin coupled to plasmon orbit [14] and frequency-comb generation [15]. Bright rogue waves and breathers are highly localized nonlinear solitary waves with oscillatory amplitudes [31, 32] These waves are valuable for their applications to phase and intensity modulation schemes [33, 34], as well as the formation of bound states and molecule-like behavior [35]. We discuss the important properties of the spectral transparency windows necessary for the generation of self-focusing/self-defocusing and crossfocusing/cross-defocusing nonlinearities. Self-defocusing and cross-defocusing nonlinearities are necessary to generate coupled-dark rogue waves and phase singularities
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