Abstract
One of the main factors impeding further progress in the field of application of met materials is significant energy losses due to the physical nature of exploited plasmon resonance, and their compensation is the most urgent problem to be addressed by the modern science of met materials. That is why this paper studies the parametric interaction of electromagnetic waves and, in particular, the process of generation and amplification of the second harmonic generation in met materials with the negative refractive index. It is found that the fundamental waves in the process of the second harmonic generation cannot exchange energy through the second harmonic wave at the non-collinear phase matching, and, thus, further consideration is required of optical rectification of the field in the nonlinear met materials.