A Reciprocity-Based Formula for the Capacitance with Quadrupolar Electrodes

다국어 초록 (Multilingual Abstract)

A new capacitance formula for the practical design and characterization of quadrupolar electrode arrays with capacitive structures was derived, based on the reciprocal theorem. The reciprocity-based capacitance formula agreed with the empirical equations established to estimate the capacitance of a single strip line or disk electrode compensating the fringing field effect, which occurs at the electrode edge. The reciprocity-based formula was applied to compute the capacitance measurable by the quadrupolar square electrode array with the symmetric dipole-dipole configuration, and compared with the analytical equation established based on the image method assuming that the electrodes are points. The results showed that the capacitance of the quadrupolar electrodes is determined by the relative size of the quadrupolar electrodes to the separation distance between the electrodes, and that the reciprocity-based capacitance formula is in agreement with the established analytical equation if the relative separated distance between the electrodes to the electrode size is large enough.

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