Title :
Computing capacitances via the Schwarz-Christoffel transformation in structures with rotational symmetry
Author :
Costamagna, Eugenio ; Fanni, Alessandra
Author_Institution :
Dipt. di Elettronica, Pavia Univ., Italy
fDate :
9/1/1998 12:00:00 AM
Abstract :
The solution of Laplace´s equation problems in cylindrical coordinates via conformal mapping of the axial cross-section for structures exhibiting rotational symmetry is revisited. Numerical algorithms are used to perform Schwarz-Christoffel transformations. Capacitance values are obtained for structures already examined in the literature by means of other methods, and accuracy is discussed. The capacitance of the circular patch resonator is accurately computed
Keywords :
Laplace equations; capacitance; electrostatics; Laplace equation problems; Schwarz-Christoffel transformation; axial cross-section; capacitance values; capacitances computation; circular patch resonator; conformal mapping; cylindrical coordinates; numerical algorithms; rotational symmetry; static fields; Availability; Capacitance measurement; Computational geometry; Coordinate measuring machines; Electrostatic measurements; Grid computing; Laplace equations; Magnetic field measurement; Poisson equations; Transforms;
Journal_Title :
Magnetics, IEEE Transactions on
