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.