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Closed-form solutions in the electrical field analysis for dielectrophoretic and travelling wave inter-digitated electrode arrays

Dong Eui Chang1, Sophie Loire and Igor Mezić

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We derive closed-form solutions of electric fields, dielectrophoretic (DEP) forces, and time-averaged DEP forces in a parallel electrode array for three cases: first, the case of a two-phase DEP electrode array with a first-order approximate boundary condition; second, the case of a two-phase DEP electrode array with the exact boundary condition; and last, the case of a four-phase travelling wave DEP electrode array with a first-order approximate boundary condition. We also compare these analytic solutions with numerical solutions.


PACS

82.45.Fk Electrodes

02.30.Jr Partial differential equations

02.30.Lt Sequences, series, and summability

Subjects

Mathematical physics

Chemical physics and physical chemistry

Dates

Issue 23 (7 December 2003)

Received 26 April 2003

Published 19 November 2003



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