Interaction of forward and backward waves in non-linear electromagnetic crystal
S. E.
Bankov 1,
M. D. Duplenkova2
1
Kotel'nikov Institute of
Radio-engineering and Electronics of RAS,
2
National Research University Moscow Power Engineering Institute,
Development Bureau
Received September
6, 2011
Abstarct. Interaction
of waves propagating in electromagnetic crystal with non-linear capacitors at
the first and second harmonics of the dominant frequency is considered. Regime
of spatial synchronism of forward and backward waves at the first and second
harmonics is investigated. Effects of second harmonic generation and
parametrical amplification are numerically studied. Results of numerical
experiments are presented. Analytical model describing waves interaction in
regime of spatial synchronism is developed. Solution in form of eigen mode is studied.
Analytical expressions for voltages at non-linear elements are obtained for
regimes of second harmonic generation and parametrical amplification.
Keywords: electromagnetic crystal, non-linear electromagnetic
crystal, spatial synchronism, backward wave, second harmonic generation,
parametrical amplification.