Natural oscillations of
resonator on the base of electromagnetic crystall
S. E. Bankov, M. D. Duplenkova, E. V.
Frolova
Kotel’nikov Institute of Radio-engineering and
Electronics of RAS
Received
July 16, 2013
Abstract. An eigen value problem
for resonator on the base of electromagnetic crystal is considered. The
electromagnetic crystal is formed by an array of metal cylinders with lumped
capacitive elements placed inside parallel plate waveguide. The resonator is
formed by defects of array of electromagnetic crystal. One or several infinite
rows of the array with capacitors differ from capacitors of regular crystal are
used to form defects. Spectrum of resonance frequencies and properties of eigen
modes are analyzed. Parameters of the resonator are optimized to obtain
conditions for effective non-linear interactions in the resonator.
Keywords: electromagnetic crystal,
non-linear electromagnetic crystal, second harmonic generation, eigen modes,
resonance frequencies.