Geometric resonance phenomenon in a corrugated waveguide is investigated both theoretically and experimentally. By solving wave equation under the periodic boundary condition in a corrugated waveguide, geometric resonance conditions are derived. This resonance is associated with the waveguide thickness and the phase shift between the corrugated walls of the waveguide. A corrugated waveguide is fabricated and measured by an HP 8510c Vector Network Analyzer, measurement results agree with the theoretical prediction. This work is meaningful for microwave communications, quantum physics, photonic crystals, integrated optical and electronic devices. The theory is also of significance to the research on periodic quantum well.
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