19 February 2014 Transmission in a 1D split-ring resonator metamaterial containing a nonlinear barrier: soliton modes
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Abstract
The transmission properties of electromagnetic waves in a 1d split ring resonator meta-material containing a nonlinear barrier are studied theoretically. Within the barrier the split ring resonator gaps contain a Kerr nonlinear dielectric media and outside the barrier the split ring resonator gaps contain a linear dielectric media. The focus of the study is on the transmission maxima (resonant transmissions) through the barrier determined as a function of the parameters characterizing the barrier dielectric media. The resonant transmissions are associated with the excitation of resonant modes in the barrier, and these resonantly excited barrier modes can in many instances be associated with various bright, dark, and grey solitons. The excitation of the modes is studied as a function of the dielectric media of the barrier and the dispersion of the wave incident on the barrier. Soliton modes are found to appear in the system at a lower critical value of the Kerr nonlinearity of the barrier media. In other cases, solitons arise through the breakup of modes evolving from the modes of the linear media barrier limit as nonlinearity is applied and allowed to increase.
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Arthur R. McGurn, "Transmission in a 1D split-ring resonator metamaterial containing a nonlinear barrier: soliton modes", Proc. SPIE 8994, Photonic and Phononic Properties of Engineered Nanostructures IV, 89941C (19 February 2014); doi: 10.1117/12.2034580; https://doi.org/10.1117/12.2034580
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