XIX Sympozjum Srodowiskowe PTZE - materialy.pdf

XIX Sympozjum Srodowiskowe PTZE - materialy.pdf XIX Sympozjum Srodowiskowe PTZE - materialy.pdf

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XIX Sympozjum PTZE, Worliny 2009 1 G( r) = 4πr (1) icr e G( r, ω) = 4πr (2) ∇ 2 A = −µ J 2 ∇ A� − jωσµ A� = −µ J� Distribution of static and quasi-static magnetic field in 3D free space created by circular coil is analyzed. Fig.1. Reconstructed source current densities and coil shape are shown in Fig. 2. Conclusion Fig. 1. Geometry structure Fig. 2. Reconstructed source current densities and coil shape. The proposed approach can be used in many practical activities for electrical current determination and visualisation in inaccessible region only by measured external magnetic field. Also activities in NDT, bio-magnetic applications, magnetic field experimental studies, coil optimisation or education studies could be realized by this approach. The developed approach can be used also for coil optimization. By achieved inverse reconstruction the searched optimal coil size and position can be reached for specific 3D model requirements. 118 (3) (4)

References XIX Sympozjum PTZE, Worliny 2009 [1] M. Epton and B. Dembart,Multipole translation theory for the three-dimensional Laplace and Helmholtz equations, SIAM J. Sci. Comput., 16(4), 1995, pp 865-897 [2] I. Marinova, Modelling, Simulation and Visualization of Electromagnetic Interaction in Human Body, Ashikaga, Japan, June 2000 [3] Tamburrino, A., G. Rubinacci, M. Soleimani, W. Lionheart. A Noniterative Inversion Method For Electrical Resistance, Capacitance And Inductance Tomography For Two Phase Materials. proceedings of 3rd World congress on Industrial Process Tomography, The Rockies, Alberta, Canada, 2003. [4] I. Marinova, H. Endo, Y. Saito. Electromagnetic field visualization by image processing, Proceedings of the SIELA 2001, Vol. II, Plovdiv, Bulgaria, 31.05-1.06, 2001, pp 84-88 [5] I. Marinova, H. Endo, S. Hayano, Y. Saito, Inverse Electromagnetic Problems by Field Visualization, IEEE Trans. Magn. Vol. 40, No. 2, 2004 119

References<br />

<strong>XIX</strong> <strong>Sympozjum</strong> <strong>PTZE</strong>, Worliny 2009<br />

[1] M. Epton and B. Dembart,Multipole translation theory for the three-dimensional Laplace and<br />

Helmholtz equations, SIAM J. Sci. Comput., 16(4), 1995, pp 865-897<br />

[2] I. Marinova, Modelling, Simulation and Visualization of Electromagnetic Interaction in<br />

Human Body, Ashikaga, Japan, June 2000<br />

[3] Tamburrino, A., G. Rubinacci, M. Soleimani, W. Lionheart. A Noniterative Inversion Method<br />

For Electrical Resistance, Capacitance And Inductance Tomography For Two Phase<br />

Materials. proceedings of 3rd World congress on Industrial Process Tomography, The<br />

Rockies, Alberta, Canada, 2003.<br />

[4] I. Marinova, H. Endo, Y. Saito. Electromagnetic field visualization by image processing,<br />

Proceedings of the SIELA 2001, Vol. II, Plovdiv, Bulgaria, 31.05-1.06, 2001, pp 84-88<br />

[5] I. Marinova, H. Endo, S. Hayano, Y. Saito, Inverse Electromagnetic Problems by Field<br />

Visualization, IEEE Trans. Magn. Vol. 40, No. 2, 2004<br />

119

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