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Published on: October 4, 2018
The approach to steady state using homogeneous and Cartesian coordinates
1Department of Radiology and Radiological Sciences, Vanderbilt University Institute for Imaging Science. Vanderbilt University, Nashville, TN 37232-2675, USA. daniel.gochberg@vanderbilt.edu
Abstract:
Repeating an arbitrary sequence of RF pulses and magnetic field gradients will eventually lead to a steady-state condition in any magnetic resonance system. While numerical methods can quantify this trajectory, analytic analysis provides significantly more insight and a means for faster calculation. Recently, an analytic analysis using homogeneous coordinates was published. The current work further develops this line of thought and compares the relative merits of using a homogeneous or a Cartesian coordinate system.
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