Capacitive Sensor Design Utilizing Conformal Mapping Methods

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International Journal on Smart Sensing and Intelligent Systems

Professor Subhas Chandra Mukhopadhyay

Exeley Inc. (New York)

Subject: Computational Science & Engineering, Engineering, Electrical & Electronic

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VOLUME 5 , ISSUE 1 (March 2012) > List of articles

Capacitive Sensor Design Utilizing Conformal Mapping Methods

N. Eidenberger * / B. G. Zagar *

Keywords : Conformal mapping, Schwarz-Christoffel transform, Joukowski tranform, capacitance sen-sor, electric field, blade geometry, edge geometry, sensitivity analysis.

Citation Information : International Journal on Smart Sensing and Intelligent Systems. Volume 5, Issue 1, Pages 36-56, DOI: https://doi.org/10.21307/ijssis-2017-469

License : (CC BY-NC-ND 4.0)

Received Date : 28-December-2011 / Accepted: 31-January-2012 / Published Online: 01-March-2012

ARTICLE

ABSTRACT

In this work we demonstrate the advantages of conformal mapping methods for the design of capacitive sensor setups. If the setups are modeled appropriately, the respective Laplace equa-tions can be solved utilizing conformal mapping methods. These methods yield the equations de-scribing the electric field of the sensor setups. The field equations contain the distinct geometric properties of the sensor setups. An in depth analysis of these equations permits the optimization of the sensor setups with respect to their sensitivities. This approach also facilitates the application of efficient signal processing methods. In addition, we propose a method which expands the applica-tion range of conformal maps produced by the Schwarz-Christoffel transform. This method permits the analysis of more complex sensor setups.

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REFERENCES

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