Abstract
The parametric interaction of electromagnetic waves in a medium with a negative index of refraction is considered. Two cases of Kerr and quadratic nonlinearities are investigated. The properties of nonlinear coupler, channels of which made of material with opposing signs of refraction index, are studied. Dynamics of extremely short pulses in the homogeneous doubly-resonant medium is analyzed in the framework of Maxwell-Duffing-Lorentz model. The new type of quasi-solitons is presented.
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Acknowledgments
We are indebted to P. Lushnikov for helpful discussion. A.I. Maimistov appreciates the support and hospitality of the Nonlinear Physics Center, the Australian National University. The research of A.I. Maimistov was partially supported by RFBR (grants No. 09-02-00701-a, 12-02-00561) and ARO-MURI award 50342-PH-MUR. I.R. Gabitov was partially supported by NSF grant DMS-0509589, FTP S&SPPIR, ARO-MURI award 50342-PH-MUR, and by Russian Ministry of Education and Science.
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Maimistov, A.I., Gabitov, I.R. (2015). Nonlinear Optical Effects in Positive-Negative Refractive Index Materials. In: Shadrivov, I., Lapine, M., Kivshar, Y. (eds) Nonlinear, Tunable and Active Metamaterials. Springer Series in Materials Science, vol 200. Springer, Cham. https://doi.org/10.1007/978-3-319-08386-5_8
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