Geodesic
Nonstationary parametric processes in negative refraction media
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 152 (2010) no. 2, pp. 77-86

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The article gives theoretical analysis of propagation of the fundamental wave and the second harmonic wave in quadratic nonlinear metamedia. The linear properties of metamaterial are characterised by a negative refraction index at the fundamental frequency and a positive refraction index at the second harmonic frequency. The analytical solutions in the form of periodic cnoidal waves and the coupled pump and harmonic waves – simultons, are obtained. The complete model, which includes the factors of dispersion of the second order group velocities and the pulse walk-off effect, is numerically investigated. A relation similar to the Manley–Rowe law is obtained for parametric processes in metamaterials.
Keywords: negative refraction index, second harmonic, optical pulse, walk-off effect.
Mots-clés : dispersion, modulation, soliton 
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     author = {S. O. Elyutin and A. I. Maimistov},
     title = {Nonstationary parametric processes in negative refraction media},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {77--86},
     publisher = {mathdoc},
     volume = {152},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2010_152_2_a10/}
}
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S. O. Elyutin; A. I. Maimistov. Nonstationary parametric processes in negative refraction media. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 152 (2010) no. 2, pp. 77-86. http://geodesic.mathdoc.fr/item/UZKU_2010_152_2_a10/