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.
Computing capacitances via the Schwarz-Christoffel transformation in structures with rotational symmetry.
FANNI, ALESSANDRA
1998-01-01
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.
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