Генерация второй гармоники в метаматериалах с потерями

Ye.S. Mukhametkarimov; Zh. Kudyshev; A.E. Davletov; I. Gabitov; A. Maimistov

Authors

Ye.S. Mukhametkarimov Al-Farabi Kazakh National University, Kazakstan, Almaty
Zh. Kudyshev Faculty of Mathematics, University of Arizona, Tucson, USA
A.E. Davletov Al-Farabi Kazakh National University, Kazakstan, Almaty
I. Gabitov Faculty of Mathematics, University of Arizona, Tucson, USA
A. Maimistov Department of solid state physics and nanosystems MEPI, National Research Nuclear University MEPhI, Moscow, Russia

Keywords:

metamaterial, second harmonic generation, phase mismatch

Abstract

In the regime of continious waves the second harmonic generation process in dissipative negative refraction-index metamaterials is considered. At small values of the phase mismatch the intensity distributions of both the fundamental and second harmonic waves are monotonic functions of coordinates. But if the phase mismatch reaches some critical value, the intensity distributions of the two waves undergo a transition from monotonic to oscillatory pattern. The influence of the losses in the medium on that critical value of the phase mismatch is numerically studied.