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

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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 
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/
@article{UZKU_2010_152_2_a10,
     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},
     year = {2010},
     volume = {152},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2010_152_2_a10/}
}
TY  - JOUR
AU  - S. O. Elyutin
AU  - A. I. Maimistov
TI  - Nonstationary parametric processes in negative refraction media
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2010
SP  - 77
EP  - 86
VL  - 152
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/UZKU_2010_152_2_a10/
LA  - ru
ID  - UZKU_2010_152_2_a10
ER  - 
%0 Journal Article
%A S. O. Elyutin
%A A. I. Maimistov
%T Nonstationary parametric processes in negative refraction media
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2010
%P 77-86
%V 152
%N 2
%U http://geodesic.mathdoc.fr/item/UZKU_2010_152_2_a10/
%G ru
%F UZKU_2010_152_2_a10

[1] Shelby R., Smith D. R., Schultz S., “Experimental Verification of a Negative Index of Refraction”, Science, 292 (2001), 77–79 | DOI

[2] Veselago V. G., “Elektrodinamika materialov s otritsatelnym pokazatelem prelomleniya”, Usp. fiz. nauk, 173:7 (2003), 790–794 | DOI

[3] Pendry J. B., “Negative refraction makes a perfect lens”, Phys. Rev. Lett., 85:18 (2000), 3966–3969 | DOI

[4] Scalora M., D'Aguanno G., Bloemer M. et al., “Dynamics of short pulses and phase matched second harmonic generation in negative material”, Opt. Expr., 14:14 (2006), 4746–4756 | DOI

[5] Shadrivov I. V., Zharov A. A., Kivshar Yu. S., “Second harmonic generation in nonlinear left-handed metamaterials”, J. Opt. Soc. Amer. B, 23:3 (2006), 529–534 | DOI

[6] Popov A. K., Slabko V. V., Shalaev V. M., “Second harmonic generation in left-handed metamaterials”, Laser Phys. Lett., 3:6 (2006), 293–297 | DOI

[7] Maimistov A. I., Gabitov I. R., Kazantseva E. V., “Quadratic solitons in media with negative refractive index”, Optics and Spectr., 102:1 (2007), 90–102 | DOI

[8] Kim Evgenia, Wang F., Wu W. et al., “Nonlinear optical spectroscopy of photonic metamaterials”, Phys. Rev. B, 78:11 (2008), 113102-1–113102-5 | DOI

[9] Klein M. W., Wegener M., Feth N. et al., “Experiments on second- and third-harmonic generation from magnetic metamaterials”, Opt. Expr., 15:8 (2007), 5238–5247 | DOI

[10] Maimistov A. I., Gabitov I. R., “Nonlinear optical effects in artificial materials”, Eur. Phys. J. Special Topics., 147 (2007), 265–286 | DOI