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Touch sensor matrix - QuickField simulation example

Touch sensor matrix can detect the human finger position. It is an essential part of the capacitive touch screen. The matrix consists of two groups of electrodes: transmitters and receivers.

Engineering question

How to find capacitive touch sensor matrix electrode coupling?

Answer
Set up a 3D QuickField Electrostatics problem for a capacitive touch sensor matrix and evaluate electrode coupling from computed field results.

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Typical applications
capacitive touchscreen matrices, electrode grid sensors, touch panel electrodes

Touch sensor matrix

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Simulation problem

Problem Type
3D problem of electrostatics.

Geometry
Touch sensor matrix Touch sensor matrix can detect the human finger position. It is an essential part of the capacitive touch screen. The matrix consists of two groups of electrodes: transmitters and receivers. Rx Air Tx Board, 1 mm Dielectric film,   0.2 mm Glass,   0.5 mm Finger

Given
Relative permittivity of the materials: board 4.3, film 2, glass 5.

Task
Determine the mutual capacitances between Tx and Rx electrodes for an arbitrary finger position.

Solution
Finger is simulated as a floating conductor.
If we energize one pair of Tx and Rx electrodes with +1V and -1V electric potentials and leave other electrodes floating, then the mutual capacitance between these electrodes can be calclated as
C = 2 * Energy / ( Potential difference )²
Two problems are simulated: open air and with a finger. The variation of the capacitance is calculated then.

Results
Electric field distribution around the touch sensor. Capacitances open air is 1.5 pF, capacitance with finger is 1.63 pF.
Touch sensor matrix

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