Abstract
An approximate model of a nonlinear electromagnetic crystal in the form of a system of differential equations, which describes two-frequency interaction between spatially synchronized forward and backward waves is constructed. A number of analytical solutions for a 2D electromagnetic crystal with capacitive nonlinear elements are obtained. The solution in the form of the crystal eigenmode is studied. It is shown that the propagation and attenuation constants of this eigenmode depend on the excitation conditions. Analytical expressions for voltages across nonlinear elements in the conditions of generation of the second harmonic and parametric amplification are presented.
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