Nonstationary parametric processes in negative refraction media

S. O. Elyutin^a, A. I. Maimistov<sup>ba

a</sup> Moscow Engineering Physics Institute (National Nuclear Research University)
^b Moscow Institute of Physics and Technology

Abstract: 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, dispersion, modulation, soliton, walk-off effect.

UDC: 535.32/58

Received: 22.12.2009

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