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Analytical solutions of ac electrokinetics in interdigitated electrode arrays: Electric field, dielectrophoretic and traveling-wave dielectrophoretic forces

Analytical solutions of ac electrokinetics in interdigitated electrode arrays: Electric field, dielectrophoretic and traveling-wave dielectrophoretic forces
Analytical solutions of ac electrokinetics in interdigitated electrode arrays: Electric field, dielectrophoretic and traveling-wave dielectrophoretic forces
Analysis of the movement of particles in a nonuniform field requires accurate knowledge of the electric field distribution in the system. This paper describes a method for analytically solving the electric field distribution above interdigitated electrode arrays used for dielectrophoresis (DEP) and traveling wave dielectrophoresis (twDEP), using the Schwarz-Christoffel mapping method. The electric field solutions are used to calculate the dielectrophoretic force in both cases, and the traveling wave dielectrophoretic force and the electrorotational torque for the twDEP case. This method requires no approximations and can take into account the Neumann boundary condition used to represent an insulating lid and lower substrate. The analytical results of the electric field distributions are validated for different geometries by comparison with numerical simulations using the finite element method.
AC electrokinetics, dielectrophoresis, travelling wave dielectrophoresis
1539-3755
46610
Sun, Tao
b2f8e932-a7e6-4fe7-94dd-5c4ce725eacb
Morgan, Hywel
de00d59f-a5a2-48c4-a99a-1d5dd7854174
Green, Nicolas G
d9b47269-c426-41fd-a41d-5f4579faa581
Sun, Tao
b2f8e932-a7e6-4fe7-94dd-5c4ce725eacb
Morgan, Hywel
de00d59f-a5a2-48c4-a99a-1d5dd7854174
Green, Nicolas G
d9b47269-c426-41fd-a41d-5f4579faa581

Sun, Tao, Morgan, Hywel and Green, Nicolas G (2007) Analytical solutions of ac electrokinetics in interdigitated electrode arrays: Electric field, dielectrophoretic and traveling-wave dielectrophoretic forces. Physical Review E, 76 (4), 46610. (doi:10.1103/PhysRevE.76.046610).

Record type: Article

Abstract

Analysis of the movement of particles in a nonuniform field requires accurate knowledge of the electric field distribution in the system. This paper describes a method for analytically solving the electric field distribution above interdigitated electrode arrays used for dielectrophoresis (DEP) and traveling wave dielectrophoresis (twDEP), using the Schwarz-Christoffel mapping method. The electric field solutions are used to calculate the dielectrophoretic force in both cases, and the traveling wave dielectrophoretic force and the electrorotational torque for the twDEP case. This method requires no approximations and can take into account the Neumann boundary condition used to represent an insulating lid and lower substrate. The analytical results of the electric field distributions are validated for different geometries by comparison with numerical simulations using the finite element method.

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Published date: October 2007
Keywords: AC electrokinetics, dielectrophoresis, travelling wave dielectrophoresis
Organisations: Electronics & Computer Science

Identifiers

Local EPrints ID: 264753
URI: http://eprints.soton.ac.uk/id/eprint/264753
ISSN: 1539-3755
PURE UUID: 3e076374-5c41-4238-8136-1f9776a6519f
ORCID for Hywel Morgan: ORCID iD orcid.org/0000-0003-4850-5676
ORCID for Nicolas G Green: ORCID iD orcid.org/0000-0001-9230-4455

Catalogue record

Date deposited: 26 Oct 2007
Last modified: 15 Mar 2024 03:20

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Contributors

Author: Tao Sun
Author: Hywel Morgan ORCID iD
Author: Nicolas G Green ORCID iD

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