Publications related to Carathéodory's theorem (conformal mapping)

Bipolar resistivity profiling of 3D tissue culture

Philippe Renaud, Yann Barrandon, Olof Pontus Linderholm, Jonas Vannod

We describe a new low-cost technique for continuous monitoring of the thickness of biofilms and tissue cultures, and we demonstrate the advantage of using electrodes of different dimensions to probe different depths of a sample. We have used electric imped ...

2007

Characterization and optimization of liquid electrodes for lateral dielectrophoresis

Philippe Renaud, Thomas Michael Braschler, Harald Van Lintel, Nicolas Demierre, Olof Pontus Linderholm, Urban Seger

Using the concept of insulator-based "electrodeless" dielectrophoresis, we present a novel geometry for shaping electric fields to achieve lateral deviation of particles in liquid flows. The field is generated by lateral planar metal electrodes and is guid ...

2007

A square magnetic circuit analysis using Schwarz-Christoffel mapping

Yves Perriard, Marcel Jufer, Miroslav Markovic

The paper presents an original method to determine the 2D magnetic field in a square magnetic circuit. To do it, the method of Schwarz-Christoffel mapping is used. This mapping is a special kind of the conformal mappings, applicable to polygonal 2D configu ...

2006

An exact formula for "tooth-to-tooth" permeance

Yves Perriard, Marcel Jufer, Miroslav Markovic

We present a new, completely original exact method to determine the permeance between two opposing iron teeth. This configuration is important because it is often encountered in electrical machines and apparatus. The method is based on conformal mapping. T ...

2005

Reducing the cogging torque in brushless DC motors by using conformal mappings

Yves Perriard, Marcel Jufer, Miroslav Markovic

We present an exact model for determining the cogging torque in a brushless DC (BLDC) motor. It is based on the conformal mapping (CM) method, by which the motor configuration is transformed to a configuration where the magnetic field can be determined. Th ...

2004

Analyzing an electromechanical actuator by Schwarz-Christoffel mapping

Yves Perriard, Marcel Jufer, Miroslav Markovic

We present an application of the conformal mapping (CM) method to determine the magnetic field and force in an electromechanical actuator. First, we show how to find, using a special type of CM known as the Schwarz-Christoffel mapping, the magnetic field i ...

2004

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