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Magnetic Field Structure and Induced Electric Current Distribution on a Cylindrical Model： Application to Magnetic Nerve Stimulation

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Chinese Physics Letters 2009年第7期26卷 115-118页

作者： taishi okita and Toshiyuki Takagi Institute of Fluid Science Tohoku University Aoba-ku Sendai 980–8577 Japan

We study the relation between the magnetic field structure and the induced electric-current distribution based on a cylindrical model composed of a uniform electrically conductive medium. When the time-varying magnetic fields are axisymmetrically applied in the axial direction of the model, the electric fields are induced around the central axis in accordance with Faradays law. We examine the eddy-current distributions generated by loop-coils with various geometries carrying an alternating electric current. It is shown that the radial structure of the induced fields can significantly be controlled by the loop coil geometry, which will be suitable for practical use especially in magnetic nerve stimulation on bioelectromagneties, if we appropriately p/ace the exciting coil with optimum geometry.

关键词： Mathematical physics Accelerators beams and electromagnetism Medical physics Biological physics

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Analytical Solutions of Electromagnetic Fields from Current Dipole Moment on Spherical Conductor in a Low-Frequency Approximation

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Communications in Theoretical Physics 2010年第1期53卷 149-155页

作者： taishi okita Toshiyuki Takagi Institute of Fluid Science Tohoku University

We analytically derive the solutions for electromagnetic fields of electric current dipole moment, which is placed in the exterior of the spherical homogeneous conductor, and is pointed along the radial direction. The dipole moment is driven in the low frequency f = 1 kHz and high frequency f = 1 GHz regimes. The electrical properties of the conductor are appropriately chosen in each frequency. Electromagnetic fields are rigorously formulated at an arbitrary point in a spherical geometry, in which the magnetic vector potential is straightforwardly given by the Biot- Savart formula, and the scalar potential is expanded with the Legendre polynomials, taking into account the appropriate boundary conditions at the spherical surface of the conductor. The induced electric fields are numerically calculated along the several paths in the low and high frequeny excitation. The self-consistent solutions obtained in this work will be of much importance in a wide region of electromagnetic induction problems.

关键词： Eddy magnetic induction

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