Analysis of Nanomechanical Antenna Structure Resonator Using Transfer Matrix Method and Examination of Its Frequency Gap

We analyzed the frequency gap of an antenna structure resonator, a coupled resonator of the central clamped-clamped beam with forty vibrating clamped-free beams on both sides of the clamped-clamped beam, from the standpoint of the propagating flexural wave. By describing the antenna structure resonator as repeated T-shaped units in a row, an input-output relation of the propagating flexural waves between any neighboring two of the repeated T-shaped units was derived using the transfer matrix method. We elucidated the reason why the frequency gap occurred in the resonant frequency characteristics of the antenna structure resonator by calculating the attenuation of the flexural waves and the dispersion relation between the frequency and wave number of the waves using the Bloch wave function under the periodic boundary condition of these units, which was a fairly good approximation capable of being applied to the antenna structure resonator. (c) 2010 The Japan Society of Applied Physics