Method for designing RF excitation pulses in magnetic resonance tomography
A technology of magnetic resonance and magnetic resonance data, which is used in magnetic resonance measurement, material analysis and diagnosis through resonance, etc.
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[0027] First, parallel excitation RF waveform design is discussed, followed by three algorithms for (approximately) solving the linear system of equations.
[0028] The equations describing the interaction between the RF waveform played along each coil array and the resulting excitation pattern are nonlinear and complex. Therefore, it is desirable to somehow reduce the system of equations to simplify the overall RF design process.
[0029] Grissom et al. simplified the RF design of parallel systems by first applying a parallel approximation of small tip cone angles to the original system of equations and then discretizing the results in space and time dimensions [3]. The use of a small tip cone angle approximation is very advantageous because it reduces the RF design problem from a set of nonlinear equations to a set of linear equations involving Fourier transforms. Due to the P-coil, the linearized excitation expression is as follows:
[0030] m ...
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