2D Electrostatic Field Modeling:

2D “Christmas tree” electrostatic field.

The contours in the image below represents equipotentials of electric field between “Christmas tree” shaped shells of arbitrary material set to constant potential values. This type of problem can be solved extremely rapidly using standard commercial electrostatic field programs. Typically one imports the problem geometry in any of various drawing formats, and then assigns material and boundary properties. This particular problem was solved using a commercial program based on the boundary element method (BEM). BEM is an efficient computational approach for such a problem because it does not require gridding of uniform material regions. This example merely illustrates the ease of solution of electrostatic fields in arbitrary 2D or 3D axisymmetric materials.

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2D electrostatic modeling of a comb-drive capacitive actuator.

The image below illustrates equipotentials of the electric field in the air gap between the fingers of a comb-drive. Comb drives can be etched using standard MEMS fabrication techniques, and are commonly used as micro-electro-mechanical actuators. The closing force produced by a specific finger geometry, voltage, gap material, and position may be analytically estimated or simulated. This example was also solved using a boundary element method (BEM) program.

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