A practicable method for computing exciting fields is presented. To avoid volume integration and meshing one uses a transformation of Biot-Savarts's law to the coil surface. In doing so, the exciting field strength is represented by a linear combination of single- and double-layer potentials. Both can be evaluated by the fast multipole method. The method is valid for a considerably class of coil geometries including race track and bedstead coils with arbitrary cross section.
%0 Journal Article
%1 groh2005calculating
%A Groh, Friedemann
%A Beck, David
%A Hafla, Wolfgang
%A Buchau, André
%A Rucker, Wolfgang M.
%D 2005
%J IEEE Transactions on Magnetics
%K myown from:andrebuchau
%N 5
%P 1384-1387
%R 10.1109/TMAG.2005.844355
%T Calculating Exciting Fields using the Fast Multipole Method and an Integral Transformation to the Coil Surface
%U https://ieeexplore.ieee.org/document/1430865/
%V 41
%X A practicable method for computing exciting fields is presented. To avoid volume integration and meshing one uses a transformation of Biot-Savarts's law to the coil surface. In doing so, the exciting field strength is represented by a linear combination of single- and double-layer potentials. Both can be evaluated by the fast multipole method. The method is valid for a considerably class of coil geometries including race track and bedstead coils with arbitrary cross section.
@article{groh2005calculating,
abstract = {A practicable method for computing exciting fields is presented. To avoid volume integration and meshing one uses a transformation of Biot-Savarts's law to the coil surface. In doing so, the exciting field strength is represented by a linear combination of single- and double-layer potentials. Both can be evaluated by the fast multipole method. The method is valid for a considerably class of coil geometries including race track and bedstead coils with arbitrary cross section.},
added-at = {2020-09-15T12:06:18.000+0200},
author = {Groh, Friedemann and Beck, David and Hafla, Wolfgang and Buchau, André and Rucker, Wolfgang M.},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2c740ba3af9d6c9a7a2851f5371a2e85e/iis},
doi = {10.1109/TMAG.2005.844355},
interhash = {a44787237bf10183dbec44da95e0f9e4},
intrahash = {c740ba3af9d6c9a7a2851f5371a2e85e},
issn = {1941-0069},
journal = {IEEE Transactions on Magnetics},
keywords = {myown from:andrebuchau},
month = may,
number = 5,
pages = {1384-1387},
timestamp = {2020-09-15T10:06:18.000+0200},
title = {Calculating Exciting Fields using the Fast Multipole Method and an Integral Transformation to the Coil Surface},
url = {https://ieeexplore.ieee.org/document/1430865/},
volume = 41,
year = 2005
}
