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Analysis of capacitances of electrical equivalent circuit of quartz-crystal tuning fork in consideration of electric field distribution using conformal mapping method

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2 Author(s)
Takahiro Ishikawa ; Faculty of Engineering, Shinshu University, Wakasato4-17-1, Nagano, 380-8553, Japan ; Hideaki Itoh

The formulas of capacitances of the electrical equivalent circuit of a quartz-crystal tuning fork at resonance were derived only for free-free bar model in consideration of the electric field distribution and the potential ratio in the section of its arm using conformal mapping method and Fourier series in Ref. [1]. We analyzed the same problem for both free-free and clamped-free bar models and compared the calculated values with measured values of capacitances of the electrical equivalent circuit of the quartz crystals which were available in practical wrist watch application.

Published in:

2011 IEEE International Ultrasonics Symposium

Date of Conference:

18-21 Oct. 2011