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.