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Numerical investigation of second harmonic generation in non-linear resonator on the base of electromagnetic crystal


S. E. Bankov, M. D. Duplenkova, E. V. Frolova

Kotel'nikov Institute of Radio Engineering and Electronics of RAS

Received August 30, 2013

Abstract. Effect of second harmonic generation in non-linear resonator inside electromagnetic crystal formed by an array of metal cylinders with non-linear capacitors located in parallel plate waveguide is investigated. Mathematical model of the structure based on the simultaneous solution of electromagnetic boundary problem and non-linear problem for voltages and currents in non-linear elements is considered. Resonators with single and double-sided excitation are studied. It is shown that in resonator with single-sided excitation energy of wave with dominant frequency may be almost completely transformed in energy of wave with doubled frequency.

Keywords: electromagnetic crystal, nonlinear electromagnetic crystal, second harmonic generation, natural oscillations, resonance frequencies.