In the present paper, we exploit the Voronoi-Delaunay transformation method whereby the solution of the Delaunay system can be obtained by transforming the solution of the Voronoi system. This Voronoi-Delaunay transformation method is now applied to eigen value problems in electromagnetic fields. As a result, it is revealed that the computation of eigen values can be carried out in an extremely efficient manner.
Get full access to this article
View all access options for this article.
References
1.
SaitoY.., Faster magnetic field computation using locally orthogonal discretization, IEEE Trans. Magn. Vol. MAG-22, No. 5 (1986) 1057.
2.
SaitoY.., Modeling of magnetization characteristics and faster magnetodynamic field computation, J. Appl. Phys.63(8) (1988) 3174.
3.
SaitoY.., An efficient computation of saturable magnetic field problem using locally orthogonal discretization, IEEE Trans. Magn., Vol. MAG-24, No. 6 (1988) 3138.
4.
PenmanJ.., Complementary and dual energy finite element principles in magnetostatics, IEEE Trans. Magn. Vol. MAG-18, No. 2 (1982) 319.
5.
HammondP.., Dual finite-element calculations for static electric and magnetic fields, Proc. IEE, Pt. A, Vol. 130, No. 3 (1983) 105.
6.
HammondP.., Calculation of inductance and capacitance by means of dual energy principles, Proc. IEE, Vol. 123, No. 6 (1976) 554.
7.
BearbienM.J.., An accurate finite-difference method for higher order waveguide modes. IEEE Trans. Microwave Theory and Techniques, Vol. MIT-16, No. 12 (1968) 1007.
8.
SilvesterP., A general high-order finite-element waveguide analysis program, IEEE Trans. Microwave Theory and Techniques, Vol. MIT-17, No. 4 (1969) 204.
9.
IsraelM.., An efficient finite element method for nonconvex waveguide based on Hermitian polygons, IEEE Trans. Microwave Theory and Techniques, Vol. MIT-35, No. 11 (1987) 1019.
