Quasi-Static Electric Field in a Cylindrical Volume Conductor Induced by External Coils

Karu P. Esselle; Maria A. Stuchly

doi:10.1109/10.284926

Quasi-Static Electric Field in a Cylindrical Volume Conductor Induced by External Coils

Karu P. Esselle, Maria A. Stuchly

Research output: Contribution to journal › Article › peer-review

30 Citations (Scopus)

Abstract

An expansion technique based on modified Bessel functions is used to obtain an analytical solution for the electric field induced in a homogeneous cylindrical volume conductor by an external coil. The current in the coil is assumed to be changing slowly so that quasi-static conditions can be justified. Valid for any coil type, this solution is ideal for fast computation of the induced electric field at a large number of points. Efficient implementation of this method in a computer code is described and numerical results are presented for a perpendicular circular coil and a tangential double-square coil.

Original language	English
Pages (from-to)	151-158
Number of pages	8
Journal	IEEE Transactions on Biomedical Engineering
Volume	41
Issue number	2
DOIs	https://doi.org/10.1109/10.284926
Publication status	Published - 1994

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abstract = "An expansion technique based on modified Bessel functions is used to obtain an analytical solution for the electric field induced in a homogeneous cylindrical volume conductor by an external coil. The current in the coil is assumed to be changing slowly so that quasi-static conditions can be justified. Valid for any coil type, this solution is ideal for fast computation of the induced electric field at a large number of points. Efficient implementation of this method in a computer code is described and numerical results are presented for a perpendicular circular coil and a tangential double-square coil.",

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AB - An expansion technique based on modified Bessel functions is used to obtain an analytical solution for the electric field induced in a homogeneous cylindrical volume conductor by an external coil. The current in the coil is assumed to be changing slowly so that quasi-static conditions can be justified. Valid for any coil type, this solution is ideal for fast computation of the induced electric field at a large number of points. Efficient implementation of this method in a computer code is described and numerical results are presented for a perpendicular circular coil and a tangential double-square coil.

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Quasi-Static Electric Field in a Cylindrical Volume Conductor Induced by External Coils

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