Title: Magnetic field decomposition and reverse approximation method
Authors: Bartůšek, Karel
Hadinec, Michal
Citation: AMTEE ’09 : eighth international conference on Advanced Methods in the Theory of Electrical Engineering : September 07-09, 2009 [Cheb, Czech Republic].
Issue Date: 2009
Publisher: University of West Bohemia
Document type: konferenční příspěvek
URI: http://cpee.zcu.cz/AMTEE/ArchivedProceedings/proceedings_AMTEE_2009/index.html
ISBN: 978-80-7043-821-3
Keywords: NMR;optimalizační metody;vyrovnání vložkami;Legendrovy polynomy;stejnorodost
Keywords in different language: NMR;optimization methods;shimming;Legendre multinominals;homogeneity
Abstract in different language: In this work, we developed a method, which is used for approximation of basic magnetic field B0 inside a specific spherical volume. This method uses Legendre multinominals expansion of magnetic flux density field measured at discrete points on spherical volume. Using optimization technique of Least square method we modeled map of magnetic flux density on the desired surface and compared it to measured values of magnetic flux density. The coefficients of spherical function expansion obtained from approximation process can be used for determination of shimming currents which feed correction coils of tomograph. The results of approximated maps are described and compared to measured maps in the experimental part of this article.
Rights: © University of West Bohemia
Appears in Collections:CPEE – AMTEE 2009

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