Fast Simulation of Magnetic Field Gradients for Optimization of Pulse Sequences

Understand

We study how to simulate, efficiently, pulse field gradients (PFG) used in nuclear magnetic resonance (NMR).

• An efficient simulation requires discretization in time and space.
• We study both discretizations and provide a guideline to choose best discretization values depending on the precision required experimentally.
• We provide a theoretical study and simulation showing the minimum number of divisions we need in space for simulating, with high precision, a sequence composed of several unitary evolution and PFG.