Title :
Solution of the 3D Helmholtz equation with eddy currents in cylindrical coordinates by longitudinal components
Author :
Gong, L. ; Hagel, R. ; Zhang, K. ; Unbehauen, R.
Author_Institution :
Dept. of Electr. Eng., Tsinghua Univ., Beijing, China
fDate :
3/1/1992 12:00:00 AM
Abstract :
A semi-analytical method is presented based on the concept of separation of variables and the Fourier transform for solving the 3D Helmholtz equation with eddy currents using the longitudinal components in a conducting shell of infinite length and finite thickness. To approximate the complicated incident field, a Fourier expansion and the discrete Fourier transform (DFT) are used. Finally, the inverse DFT is applied. The numerical results are reasonable
Keywords :
conductors (electric); eddy currents; fast Fourier transforms; 3D Helmholtz equation; Fourier expansion; Fourier transform; conducting shell; cylindrical coordinates; discrete Fourier transform; eddy currents; inverse DFT; longitudinal components; semi-analytical method; Conducting materials; Discrete Fourier transforms; Eddy currents; Electromagnetic fields; Fourier series; Fourier transforms; Magnetic analysis; Magnetic flux density; Maxwell equations;
Journal_Title :
Magnetics, IEEE Transactions on
