Interaction of direct waves in nonlinear electromagnetic crystal

 

S. E. Bankov

Kotel'nikov Institute of Radio-engineering and Electronics of RAS

Received March 1, 2011

 

Abstarct. Interaction of electromagnetic waves propagating at the first and second harmonics of a dominant frequency inside two-dimensional non-linear electromagnetic crystal with non-linear capacitors is considered. Regime of a spatial synchronism of two waves at the first and second harmonics is studied. Conditions of spatial synchronism realization in electromagnetic crystal are investigated. An approximate model of electromagnetic crystal in form of a system of non-linear differential equations is proposed. Several selected solutions of the system are analytically studied. Results of numerical experiments are presented.

Keywords: electromagnetic crystal, non-linear waves, spatial synchronism.