title: Construction of universal rotations from point-to-point transformations.
abstract: For a desired range of offsets, universal rotations of arbitrary flip angle can be constructed based on point-to-point rotations of I(y) with half the flip angle. This approach allows, for example, creation of broadband or bandselective refocusing pulses from broadband or bandselective excitation pulses. Furthermore, universal rotations about any axis can be obtained from point-to-point transformations that can easily be optimized using optimal control algorithms. The construction procedure is demonstrated on the examples of a broadband refocusing pulse, a broadband 120(x) degrees rotation and a z-rotation with offset pattern.
authors: Department Chemie, Technische Universität München, Lichtenbergstrasse 4, D-85747 Garching, Germany. burkhard.luy@ch.tum.de
authors: Burkhard
authors: B
authors: Luy
authors: Kyryl
authors: K
authors: Kobzar
authors: Thomas E
authors: TE
authors: Skinner
authors: Navin
authors: N
authors: Khaneja
authors: Steffen J
authors: SJ
authors: Glaser
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D009682:Magnetic Resonance Spectroscopy / Q000379:methods*; D008956:Models, Chemical; D012815:Signal Processing, Computer-Assisted